NEED HELP!!!!!!!!!!!!!!!!!!!!!

NEED HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer 1
The quadratic formula is -b plus minus the square root of b^2-4ac all over 2a.
Here, a=1, b=13, and c=30.
The only option that fills in the values correctly is D

Related Questions

A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 find the radius of the beach ball. use the formula , where a is the surface area and r is the radius of the sphere. 576 in. 48 in. 75 in. 24 in.

Answers

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

 

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

 

Answer:

24 inches

Which graph represents the solution to the system of inequalities? x + y ≥ 4 2x + 3y < 12

Answers

There are two inequality equations to be graphed:

x + y ≥ 4
2x + 3y < 12

For the first step, let's disregard the inequality symbols and take it like any conventional algebraic equation. This is to be able to graph the lines on a Cartesian planes first.

For the first equation, x+y=4. To find the x- and y-intercepts, let the other variable be 0. For example,
x-intercept:
x+0=4
x=4
y-intercept:
0+y=4
y=4
Therefore, you can graph the equation line by plotting the intercepts (4,0) and (0,4) and connecting them together. The same thing is done to the second equation:
x-intercept: 
2x + 0 = 12
x=12/2=6
y-intercept:
0 + 3y =12
y= 12/3 = 4
Therefore, you can graph the equation line by plotting the intercepts (6,0) and (0,4) and connecting them together. The graph is shown in the left side of the picture.

The next step would be testing the inequalities. Let's choose a point that does not coincide with the lines. That point could be (-5,-1). 

x + y ≥ 4
-5 + -1 ≥4
-6 ≥ 4 --> this is not true. Thus, the solution of the graph must not include the area of this point. It includes everything to the right of the line denoted by the blue-shaded region.

2x + 3y < 12
2(-5) + 3(-1) <12
-13 < 12 ---> this is true. Thus, the solution would include this point. That includes all points to the left of the orange line denoted by the orange-shaded the region.

The region where blue and orange overlap is the solution of the system of equations, denoted by the green-shaded region.

find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1

Answers

check the picture below, is a negative angle, thus, is going "clockwise"

[tex]\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1} \\\\\\ -1\cdot tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y \\\\\\ -1\cdot \cfrac{-1}{-1}=y\implies -1[/tex]

The point on the terminal side is (1,-1) and this can be determined by using the trigonometric functions.

Given :

The point on the terminal side of θ = negative three [tex]\pi[/tex] divided by four that has an x coordinate of negative 1.

The following steps can be used in order to determine the point on the terminal side:

Step 1 - Write the given expression.

[tex]\theta = -\dfrac{3\pi}{4}[/tex]

Step 2 - The value of the trigonometric function is given by:

[tex]\rm tan \dfrac{3\pi}{4} =-1[/tex]

Step 3 - The trigonometric function can also be written as:

[tex]\rm tan \theta=\dfrac{y}{x}=-1[/tex]

Step 4 - Substitute the value of 'x' in the above expression.

y = -1

So, the point on the terminal side is (1,-1).

For more information, refer to the link given below:

https://brainly.com/question/10283811

(02.01 LC)

Figure ABCD is transformed to figure A′B′C′D′:
Which angle in Figure A′B′C′D′ is equal to Angle CDA.?
Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.

Answers

Angle C prime D prime and A prime

Answer:

I think it is Angle B prime C prime D prime

Step-by-step explanation:

A'B'C'D' is a translation so they are congruent.So the figure B'C'D' is congruent or equal to BCD. Please let me know if i'm right

You are 9 miles away from home. You start biking home at a speed of 6 miles per hour.
a. write an equation. in standard form that represents your distance from home y after x hours.
b. find the y-intercept of the graph. what does this represent?
c. find the x-intercept of the graph. what does this represent?

Answers

a) y=9-6x, standard form is ax+by=c so add 6x to both sides

6x+y=9

b)  from the first, we had it in slope intercept form, mx+b where b is the y-intercept.  y=-6x+9

So the y-intercept is the point (0,9) which represents the starting distance before you start biking.  You start being 9 miles from your house.

c)  The x intercept occurs when y=0 so:

y=9-6x, so if y=0

0=9-6x

6x=9

x=9/6

x=1.5

This represent the time when you will arrive home and the total time that has elapsed to get there.

The distance and speed are illustrations of linear equations

The standard form is [tex]\mathbf{6x + y = 9}[/tex]The y-intercept is 9The x-intercept is 1.5

The given parameters are:

[tex]\mathbf{Rate = 6}[/tex]

[tex]\mathbf{Initial = 9}[/tex]

(a) The standard equation

Because the distance reduces with time, the equation is:

[tex]\mathbf{y = Initial-Rate \times x}[/tex]

This gives

[tex]\mathbf{y = 9 - 6\times x}[/tex]

[tex]\mathbf{y = 9 - 6x}[/tex]

Add 6x to both sides

[tex]\mathbf{6x + y = 9}[/tex]

(b) The y-intercept

This is the initial distance away from home.

So, the y-intercept is 9

(c) The x-intercept

Set y to 0, to calculate the x-intercept

[tex]\mathbf{6x + y = 9}[/tex]

[tex]\mathbf{6x + 0 = 9}[/tex]

[tex]\mathbf{6x = 9}[/tex]

Divide both sides by 6

[tex]\mathbf{x = 1.5}[/tex]

This is the initial time away from home.

So, the x-intercept is 1.5

Read more about linear equations at:

https://brainly.com/question/11897796

An ice cream store sells 2 2 ​drinks, in 3 3 ​sizes, and 8 8 flavors. in how many ways can a customer order a​ drink?

Answers

If an ice cream store sells 2 drinks, in 3 ​sizes, and 8 flavors, the number of ways can a customer order a​ drink will be 48.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It given that, An ice cream store sells 2 ​drinks, in 3 sizes, and 8 flavors.

We have to find the number of ways can a customer order a​ drink,

It is obtained by multiplying all the possible cases for that event, Multiplication is one type of arithmetic operation. There are basically four types of arithmetic operations.

=2×3×8

=48

Thus, if an ice cream store sells 2 drinks, in 3 ​sizes, and 8 flavors, the number of ways can a customer order a​ drink will be 48.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

A tree grows 1 3/4 feet per year. How long will it take the tree to grow from a height of 21 1/4 feet to a height of 37 feet?

Answers

so hmmm from 21 1/4 to 37, let's check the difference, to see how many feet is that.

[tex]\bf 37-21\frac{1}{4}\implies 37-\cfrac{21\cdot 4+1}{4}\implies 37-\cfrac{85}{4}\impliedby LCD~is~4 \\\\\\ \cfrac{148-85}{4}\implies \cfrac{63}{4}[/tex]

so hmmm now, its growth rate is    [tex]\bf 1\frac{3}{4}\implies \cfrac{1\cdot 4+3}{4}\implies \cfrac{7}{4}[/tex]

so.... the tree grows 7/4 in 365 days( a year ), how many days does it take it to get to 63/4 feet?

[tex]\bf \begin{array}{ccll} \stackrel{growth}{feet}&\stackrel{time}{days}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{7}{4}&365\\\\ \frac{63}{4}&d \end{array}\implies \cfrac{\frac{7}{4}}{\frac{63}{4}}=\cfrac{365}{d}\implies \cfrac{7}{4}\cdot \cfrac{4}{63}=\cfrac{365}{d} \\\\\\ \cfrac{28}{252}=\cfrac{365}{d}\implies d=\cfrac{252\cdot 365}{28}\implies d=\cfrac{91980}{28}\implies \boxed{d=3285}[/tex]

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

Answers

If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

100 -22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940 

1940 ~~~~~~~~~~~~ APEX

Find the slope in line perpendicular x-y=16

Answers

Change to y = mx + b format
X - y = 16
-y = -x + 16

So slope = - 1 / 1

Use the table to determine the appropriate model of the function, x       1             2             3             4             5       f(x)       15             12             9             6             3       linear quadratic cubic exponential

Answers

deltay/deltax= a constant of -3  This means that the velocity is constant, meaning this is a linear function.

The actual line is just f(x)= -3x+18
Answer:

The appropriate model of the function is:

                        Linear model

Step-by-step explanation:

We are given a table of values as:

           x               f(x)

           1                15

           2               12

           3                9

           4                6

           5                 3

Clearly we could observe that with each increasing value of x the value of function decreases by 3.

This means that the range of change is constant.

Hence, the relation is linear ( as the rate of change is constant )

Also, the equation that models this data set is given by:

                       [tex]y=f(x)=18-3x[/tex]

Find the selling price of an item listed at $400 subject to a discounted series of $25%, 10%, and 5%
A. $256.50
B. $270.00
C. $225.00
D. $300.00

Answers

$400 - ($400 x 0.25) = $300

$300 - ($300 x 0.10) = $270

$270 - ($270 x 0.05) = $256.50

answer
A. $256.50 

Answer:

Selling price of an item is $256.50 (A).

Step-by-step explanation:

Given : WE have  given an item listed at $400 subject to a discounted series of $25%, 10%, and 5% .

To find : Find the selling price of an item.

Formula used : Selling price = marked price - discount.

Solution : We have an item listed at = $400.

Discount percentage = $25% , $10% , $5.

Discount 1  = $400 ×[tex]\frac{25}{100}[/tex] = $100.

Selling price = $400-100 = $300.

Discount 2 = $300 ×[tex]\frac{10}{100}[/tex] = $30.

Selling price = $300-30 = $270.

Discount 3  = $270 ×[tex]\frac{5}{100}[/tex] = $13.50.

Final selling price = $270-13.50 = $256.50.

Therefore, Selling price of an item is $256.50 (A).

Larry travels 60 miles per hour going to a friend’s house and 50 miles per hour coming back, using the same road. he drove a total of 5 hours. what is the distance from larry’s house to his friend’s house, rounded to the nearest mile?

Answers

V1=60. 60×t1=50×t2=S
V2=50
T=t1+t2=5. 5-t2=t1
60×(5-t2)=50×t2
300-60×t2=50×t2
300=50×t2+60×t2
300=t2×(50+60)
300=t2×110
300/110=t2

S=50×300/110

Final answer:

To find the distance from Larry's house to his friend's house, we use the relationship between distance, speed, and time for his trip to and from his friend's house, taking into account the different speeds and total travel time of 5 hours.

Explanation:

The student's question asks to find the distance from Larry's house to his friend's house given his speed and total travel time in both directions. To solve this problem, we use the formula distance = speed × time. Let's call the distance one way d, the time to travel to the friend's house t1, and the time to travel back t2. Larry's speed going to the friend's house is 60 miles per hour and coming back is 50 miles per hour. The total travel time is 5 hours.

So for the trip to the friend's house we have:

d = 60 × t1

And for the trip back:

d = 50 × t2

Since the total travel time is 5 hours:

t1 + t2 = 5

Substituting the expressions for d from the first two equations into the third, we get:

60t1 + 50t2 = 60(5)

Using the fact that t1 + t2 = 5, we solve for either variable, say t1, which gives us t2 as well. After finding t1 and t2, we plug either of those back into the original distance equations to find d, which will be the distance from Larry's house to his friend's house. The answer should be rounded to the nearest mile.

Use basic identities to simplify the expression. sin^2θ + tan^2θ + cos^2θ

Answers

cos^2 theta  + sin^2 theta = 1

so it simplifies to 1 + tan^2 theta

and this = sec^2 theta

slope of -8 and Y intercept of (0, 12) in slope intercept form.

Answers

y=-8x+12 is the equation in slope intercept form

The length of a rectangle is 22 meters longer than the width. if the area is 2626 square​ meters, find the​ rectangle's dimensions. round to the nearest tenth of a meter.

Answers

l=22w (w=width, l=length)

l*w=2626
Substitute 22w for l, getting 22w^2=2626. Divide by 22 to get 119.36 (and more decimals!), and square root that to get 10.9 (rounded) for the width and 240.4 (rounded) for the length

Can someone simplify 2y-3x^2+6x^2-3y ?

Answers

2y - 3x^2 + 6x^2 - 3y
Bring like terms together:-
6x^2 - 3x^2 + 2y - 3y
= 3x^2 - y   <-----  Answer

2y-3x^2+6x^2-3y  combine like terms

3x^2-y

help me plox 20 points

Answers

if they were rounded to the tens place

18 would round to 20

16 would round to 20

17 would round to 20

 14 would round to 10

 so April would be different.

please help me idk how to do this at all I've been stuck on it for awhile.

Answers

so remember
(x,y)
we are given x=2
find what y is when x=2
subsitute 2 for x

y=2x+5
y=2(2)+5
y=4+5
y=9

so the blank is 9

when numbers are in parenthesis the first number is x the second is y

(x,y)

sine they give you (2, blank)

2 = x so replace x in the equation with 2

 so y=2x+5 becomes y=2(2)+5

 so y = 2*2+5 = 9

 y=9

 so it should be (2,9)


 

Find an exact value. sin(17pi/12)

a. √6 - √2 / 4
b. -√6 - √2 / 4
c. √6 + √2 / 4
d. √2 - √6 / 4

Answers

correct option is B.
feel free to ask if you have any doubts.

The required exact value of the given trigonometric function is sin(17π/12) = (√6 + √2)/4

What are Trigonometric functions?

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric function is given in the question, as follows:

sin(17π/12)

To find the value of sin(17π/12), we can use the following trigonometric identity:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

In this case, we can write:

sin(17π/12) = sin(π/3 + π/4)

We know that sin(π/3) = √3/2 and cos(π/3) = 1/2, and sin(π/4) = cos(π/4) = √2/2.

Therefore, we can use the above identity to get:

sin(17π/12) = sin(π/3)cos(π/4) + cos(π/3)sin(π/4)

         = (√3/2)(√2/2) + (1/2)(√2/2)

         = (√6/4) + (√2/4)

         = (√6 + √2)/4

So the answer is option (c): √6 + √2 / 4.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ2

A ball is thrown from a height of 140 feet with an initial downward velocity of 8 ft/s. The ball's height h (in feet) after t seconds is given by the following.

h=140-8t-16t^2

How long after the ball is thrown does it hit the ground?

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

It is -3.22 and 2.72! Put both of them.

The time would be 2.71 seconds after the ball is thrown does it hit the ground.

What is the velocity?

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

A ball is thrown from a height of 140 feet with an initial downward velocity of 8 ft/s.

The ball's height h (in feet) after t seconds is given by the following.

⇒ h = 140-8t - 16t²

h = 0 at the ground.

We divide both sides of the equation by (-8) to yield:

⇒ 0 = 2t² + t - 17.5

where a = 2, b= 1, c = -17

[tex]t = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t = \dfrac{-1\pm\sqrt{2^2-4\times2\times-17.5}}{2\times2}[/tex]

t = [-1 ± √141] / (4)

t = 2.71 and -3.21

For this problem, time can only be positive, so ignore the negative solution.

Therefore, the time would be 2.71 seconds after the ball is thrown does it hit the ground.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ2

Probability theory predicts that there is a 44% chance of a water polo team winning any particular match. If the water polo team playing 2 matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match?

Answers

After playing 2 matches possible outcomes are:
water polo team wins none, wins 1 or wins both games.

chance that they win both matches are:
0.44*0.44 = 0.1936   in relative value

Chance that they lose both matches are:
(1-0.44)*(1-0.44) = 0.3136   in relative value

If we multiply these relative values by number of matches and subtract that from number played double games (10000) we will get number of times they won only once.

10000 - 10000* (0.3136+ 0.1936) = 4928

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 13 in. by 8 in.

Answers

1) To make a rectangular box you need to cut squares from the four corners of the rectangular sheet.

2) Call x the length of the sides of the squares cut off.

3) The base of the box will have dimensions: (13 - 2x) and (8 - 2x)

4) The height of the box will be x

5) The volume of the box will be the area of the base times the height:

Volume = (13 - 2x)(8 -2x)x = (4x^2 - 42x + 104)x = 4x^3 - 42x^2 + 104x

6) The maximum volume is calculated by finding the point where the derivative of the volume is zero =>

d (volume) / dx = 12x^2 - 84x + 104 = 0

7) Solve the quadratic equation 12x^2 - 84x + 104 = 0

=> 4(3x^2 - 21x + 26) = 0

=> 3x^2 - 21x + 26 = 0

=> 3 (x^2 - 7x) + 26 = 0

=> 3 [(x - 7/2)^2 - (7/2)^2] + 26 = 0

=> 3 (x - 7/2)^2 - 3* 49/4 + 26 = 0

=> 3 (x - 7/2)^2 = 3*49/4 - 26

=> (x -7/2)^2 = (49/4 - 26/3)

=> x = 7/2 +/- √(49/4 - 26/3)

x = 7/2 + √3.583 and x = 7/2 - √3.583

x = 5.393 and  x = 1.607

=> Volume =

1) 4(5.393)^3 - 42(5.393)^2 + 104(5.393) = -33.26 ---> it does not have physical meaning

2) 4(1.607)^3 - 42(1.607)^2 + 104(1.607) = 75.27 ---> this is the answer

Answer: 75.27 in^3



You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name.

Answers

Answer with explanation:

Total number of different candidates who are playing the game=7

Suppose, Seven candidates are represented  by ={A,B,C,D,E,F,G}

Total Possible Outcome =7

→Probability that , "A" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{7}[/tex]

→Now, 6 candidates are left.

Probability that , "B" gets his scrap of paper , means the paper on which he  or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{6}[/tex]  

→Now, 5, candidates are left.

Probability that , "C" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{5}[/tex]  

→Now, 4 candidates are left.

Probability that , "D" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{4}[/tex]  

→Now, 3 candidates are left.

Probability that , "E" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{3}[/tex]  

→Now, 2 candidates are left.

Probability that , "F" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{2}[/tex]  

→Now, a single candidates is left.

Probability that , "G" gets his scrap of paper , means the paper on which he or she has written his or her name

                             [tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{1}=1[/tex]  

Required Probability

                 [tex]=\frac{1}{7} \times\frac{1}{6} \times\frac{1}{5} \times\frac{1}{4} \times\frac{1}{3} \times\frac{1}{2} \times 1\\\\=\frac{1}{5040}[/tex]    

   

Kenji buys 3 yards of fabric for 7.47$. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

Answers

12.47$ because one piece of fabric is 2.49$
The first thing that you would want to do is find the cost of one yard of fabric.

7.47 / 3 = 2.49

Now that we know that each yard costs $2.49, we can multiply it by the number of yards you need to buy (two).

2 • 2.49 = 4.98

Your total for two yards of fabric is $4.98

True or false an inscribed angle is formed by two radii that share an endpoint

Answers

True or false an inscribed angle is formed by two radii that share an endpoint

the correct answer is : FALSE

Answer:

The given statement : an inscribed angle is formed by two radii that share an endpoint is an FALSE statement.

Step-by-step explanation:

Inscribed angle is a angle which is formed inside the circle by joining of two intersecting chords inside a circle.

The inscribed angle is explained with the help of a diagram below :

In the diagram attached below, ∠ABC is an inscribed angle with an intercepted minor arc from A to C.

Thus, the inscribed angle is not formed with the help of radii that share a common end point.

Hence, The given statement : an inscribed angle is formed by two radii that share an endpoint is an FALSE statement.

Hey there! I would like some help please :) Thanks!

Answers

AC is a common side, ∠ACD = ∠ACB and CD = BC   ⇒ ΔACD and ΔABC are congruent (SAS definition).

Congruent triangles have exactly the same three angles, so ∠D = ∠B.

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry. f(x), g(x), h(x) f(x), h(x), g(x) g(x), h(x), f(x) g(x), f(x), h(x)

Answers

h(x), g(x), f(x) as their leading terms (x^2) keep getting larger and positive.

Answer:

f(x), h(x), g(x)

Jessica attains a height of 4.7 feet above the launch and landing ramps after 1 second. Her initial velocity is 25 feet per second. Find the angle of her launch. a. Which equation can you use with the given information to solve for ?

Answers

To answer this question, we convert first the given height and velocity to SI units so we could more comfortably use the equation. The conversion factor to be used is 1 m = 3.28 ft
    Height = 4.7 ft x (1 m/ 3.28 ft) = 1.43 m
    Velocity = 25 ft / s x (1 m / 3.28 ft) = 7.62 m/s

The maximum height that can be attained by an object following a projectile path is calculated through the equation,
     H = (v₀²)(sin²θ) / 2g
where v₀ is the initial velocity, H is the maximum height and g is the acceleration due to gravity. 

Transforming the equation to calculate for θ,
        sinθ = sqrt ((H)(2g) /(v₀²))
        sinθ = sqrt ((1.43)(2)(9.8)) / (7.62²))
        sinθ = 0.76

We calculate for the angle by getting the arcsin.
        sin⁻¹ (0.76) = 49.46°

ANSWER: 49.46°

A 31-in. television has a 31 in. diagonal and a 18 in. width. what is the height of the 31-in. television?

Answers

By the Pythagorean theorem:

[tex]height = \sqrt{31^2-18^2}= \sqrt{961-324}= \sqrt{637}\approx25.24 \ in[/tex]


Write a segment addition problem using three points that asks the student to solve for x but has a solution x = 20

Answers

The segment addition problem was given below which gives the value of x as 20.

Segment addition problem:

Consider three points on a line: A, B, and C. Point B is located between points A and C.

The lengths of the line segments are as follows:

Length of segment AB: 12

Length of segment BC: x

Length of segment AC: 32

Find the value of x.

We have the equation for segment addition: AB + BC = AC

Substitute the given values:

12 + x = 32

Now, solve for x:

x = 32 - 12

x = 20

Therefore, the value of x is indeed 20, and the lengths of the segments satisfy the segment addition property.

#SPJ12

Final answer:

To construct a segment addition problem with a solution of x = 20, use three collinear points A, B, and C and set AB = x and BC = 20 - x, with the entire segment AC being 20 units. Solving the equation x + (20 - x) = 20 confirms that x = 20 is the solution.

Explanation:

To write a segment addition problem that solves for x where the solution is x = 20, let’s use three collinear points A, B, and C with point B between A and C. We can then express the lengths of segments AB and BC in terms of x. For instance, if AB is x units long and BC is 20 - x units long, the total length of AC would be 20 units. We can write an equation based on this:

AB + BC = AC

x + (20 - x) = 20

By simplifying, x cancels out on the left-hand side, leaving 20 = 20, which is true for x = 20. Therefore, this is a valid segment addition problem where solving for x yields 20 as the solution.

Here is the step-by-step problem phrased as a question:

Let points A, B, and C be collinear with B between A and C.If AB = x and BC = 20 - x, and AC = 20, find the value of x.
Other Questions
if f(x) = x^2 + 1 and g(x) = x - 4, which value is equivalent to ( f g) a. 37b 97c 126d 606(Compostition of Functions) Why did the new england colonies develop differently from the chesapeake colonies?a. the new england colonies were royal colonies and were never run by corporations.b. religion was a much more important force in shaping new england society than it was in shaping chesapeake society.c. the migrants who chose to settle in new england were generally younger than those who settled in the chesapeake.d. the new england settlers rejected the institution of slavery? In the figure below, m ROP = 125.Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. Inga is participating in a debate. in reviewing her performance, inga will most likely attribute her own errors to __________ and her opponents errors to Without a centrosome, cells would not be able to Nutrient claims give product-specific information and are found on the back of packages. a. True b. False Please explain to me 1) the similarities/differences in the two lines, 2) how are the two graphs related to one another, and 3) how do the equations show this relationship for the following: kathi starts with a number. she adds 3 to her number, then doubles the result. finally, she subtracts 7. if she ended with 9 what number did ahe start with which point on the number line represents the product (5)(-2)(-1) Find the approximate atomic mass of a water molecule (h2o). give your answer in atomic mass units rounded to the nearest whole number. Which of the following is a fragment? A. The piata was filled with candy. B. Brownies and ice cream at the party. C. All of the games had prizes. D. Before we ate, we sang Happy Birthday. y varies inversely with x k = 0.6 What is the value of x when y is 0.6? A. x = 0.36 B. x = 1 C. x = 3.6 D. x = 10 Your friend has signed up for a dance class and thinks you should join to get more cardio exercise. What type of peer pressure is this? Positive Negative Destructive Neutral Predict how the addition of hydrogen gas would affect the initial rate of the reaction below, and explain your prediction. H2 (g) + I2 (g)->2 HI The ordered pair(1,0) is a solution to the inequality y true or false? Which two statements provide examples of US intervention in Latin American affairs? A:The United States helped overthrow the leader of Chile. B:The United States refused to help fight drug cartels. C: The United States backed rulers who helped US corporations. D: The United States executed Oscar Romero. Which sets of values can be the measures of the exterior angles of a triangle? Click all that apply.120, 110, 13035, 103, 122123, 87, 220120, 120, 120123, 157, 90 A shift to a more expansionary monetary policy will generally _________ in the short run, but if the rapid monetary expansion persists, the long-run result will be ______.(fill in the blanks.) In related linked diversified firms, ____ are a complex set of resources that link the different businesses through managerial and technological knowledge, experience, and expertise.a. corporate core competenciesb. strategiesc. support activitiesd. intangible assets After working a 12-hour day, Cary told Ted she was tired when they got into bed. Ted assumed Cary was rejecting him. This is an example of Steam Workshop Downloader