Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
20, 20, 30 = ?

Answers

Answer 1

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle


Related Questions

The graph below plots the values of y for different values of X:
Which correlation coefficient best matches the data plotted on the graph? (1 point)

Answers

Answer:

0.50

Step-by-step explanation:

we know that

Observing the graph

we have the following points

(1,3),(2,4),(3,9),(4,7),(5,2),(6,18)

Using a Excel tool (Correl function)

The correlation coefficient is equal to r=0.605639

see the attached table

therefore

The correlation coefficient that best matches the data plotted on the graph is 0.50

What is the 8th term of the geometric sequence with this explicit formula?
an= 6.(-2)(n-1)

Answers

Answer:

- 768

Step-by-step explanation:

Substitute n = 8 into the explicit formula, that is

[tex]a_{8}[/tex] = 6 × [tex](-2)^{7}[/tex] = 6 × - 128 = - 768

The answer is -768.

What is the fourth term of the sequence?
ar = 2.41-2
Enter your answer in the box.
HELPPPP!!!!

Answers

Answer:

32

Step-by-step explanation:

Substitute n = 4 into the formula

[tex]a_{4}[/tex] = 2 × [tex]4^{4-2}[/tex] = 2 × 4² = 2 × 16 = 32

Which expression is equivalent to sqrt10/4sqrt8

Answers

Answer:

Step-by-step explanation:

Since it's a division we need to look for a common factor to cancel

so first we try to break the numbers to there prime factors

[tex]\frac{\sqrt{10} }{4\sqrt{8} } = \frac{\sqrt{2.5} }{4\sqrt{2.2.2} }[/tex]

So , now we try to factors that are common in top and bottom

[tex]= \frac{\sqrt{2} \sqrt{5}}{4\sqrt{2}\sqrt{4} }[/tex]

common factor is sqrt 2 so lets cancel it

we get

[tex]\frac{\sqrt{5} }{4\sqrt{4} }[/tex]

[tex]\frac{\sqrt{5} }{8}[/tex]

Let v=−3i
v
=

3
i
and w=2−4i
w
=
2

4
i
. Find v−w
v

w
.

Answers

Answer:

-2 + i

Step-by-step explanation:

v = -3i

w = 2 - 4i

v - w =

= -3i - (2 - 4i)

= -3i - 2 + 4i

= -2 + i

The given value of  v = -3i and w = 2-4i, so v-w = -2 + i.

Given: v = -3i, w = 2-4i

To find: v - w

Solution:

Substitute the values of v and w into the expression v - w.

v - w = -3i - (2-4i)

v - w = -3i - 2 + 4i

v - w = -2 + i

Which is the best first step when solving the following system of equations? X+y=3 4x-y=7

Answers

Answer:

Add the two equations together to eliminate y

Step-by-step explanation:

X+y=3

4x-y=7

I would use elimination since one equation has +y and one equation has -y

Add the two equations together

X+y=3

4x-y=7

-------------------

5x = 10

What is the value of b for the following circle in general form?
x^2+y^2+ax+by+c=0

Answers

Answer:

a = -2 and b=4 and c = -4

Step-by-step explanation:

the center is : A(1 ; -2)

B(1 ; 1) in this circle so ; AB= r  (  ridus)...r =3

note :

an equation of the circle Center at the A(1,-2) and ridus : r is :

(x-1)² +(y+2)² = 3²  

x²-2x+1  +y²+4y +4-9 =0

x²+y² -2x+4y -4 = 0   so : a = -2 and b=4 and c = -4

Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weighs 364 pounds and Kevin weighs 150 pounds. The capacity of the elevator is 2,000 pounds.


If six sacks are to be taken at a time, what should be the weight of each sack?

Answers

Final answer:

Kevin can safely take sacks weighing up to 308.33 pounds each in the elevator, provided he takes six sacks at a time and the elevator's capacity is 2,000 pounds with Kevin weighing 150 pounds.

Explanation:

The student's question is asking for the maximum weight of each sack of grain that Kevin can deliver on the elevator, given the elevator's weight capacity and the additional weight of Kevin himself. To answer this question, we need to consider the weight that the elevator can hold minus Kevin's weight, and then determine how much weight is left for the sacks of grain.

The elevator has a capacity of 2,000 pounds, and Kevin weighs 150 pounds. This means the total weight that the elevator can carry in addition to Kevin is:

2000 pounds (elevator capacity) - 150 pounds (Kevin's weight) = 1850 pounds (available for sacks)

If Kevin needs to deliver six sacks at a time, we can divide the total available weight by six to find the maximum weight for each sack:

1850 pounds / 6 sacks = approximately 308.33 pounds per sack

Therefore, the weight of each sack must be 308.33 pounds or less for Kevin to safely use the elevator without exceeding its capacity.

What is the value of x?

Answers

[tex]x+40=3x\\2x=40\\x=20[/tex]

For this case we have by definition of angles between secant lines that:

[tex]x + 40 = 3x[/tex]

Also, the angle between T and V is equal to the angle between S and W.

Returning to the question, we have to:

[tex]x + 40 = 3x[/tex]

We must know the value of "x":

Subtracting 3x on both sides of the equation we have:

[tex]x-3x + 40 = 0[/tex]

Subtracting 40 from both sides of the equation:

[tex]-2x = -40[/tex]

Dividing between -2 on both sides of the equation:

[tex]x = \frac {-40} {- 2}\\x = 20[/tex]

So, the value of x is 20

Answer:

[tex]x = 20[/tex]

A bag contains 8 red, 4 blue, and yellow marbles.

Answers

[tex]|\Omega|=16\cdot15=240\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{240}=\dfrac{1}{20}=5\%[/tex]

A board that is 2/3 of a yard long needs to be cut into four equal pieces. What will the length of each piece be? yd 2 yd yd yd

Answers

Answer:

Step-by-step explanation:

2/3 yard          2 yd

--------------- = ---------------- = 1/6 yd / piece

4 pieces        12 pieces

Alternatively:  Use inches:

 24 inches

------------------ = 6 inches/piece   = 1/6 yd / piece

 4 pieces

1 + x = 7 − 2x solve the equation

Answers

Answer:

x = 2

Step-by-step explanation:

Given

1 + x = 7 - 2x ( add 2x to both sides )

1 + 3x = 7 ( subtract 1 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

PLEASE HELP !!!!
ivanna's earnings vary directly with the number of hours she works. suppose that she worked 7 hours yesterday and earned $77. if she earned $99 today, how many hours did she work today​

Answers

Answer:

9 hr

Step-by-step explanation:

vary directly means you should think about a constant being multiply to one variable to get another variable.

So we have E=kH

where E=earnings and H=hours and k is the constant of proportionality

So they give us when H=7 we have E=77 giving us 77=k(7) which means the constant of proportionality is 11

So that means no matter what the E and H are k is 11

So we have the equation is E=11H

Replace E with 99 and solve for H

99=11(H)

So H=9

9 hours

Graph y = -|x| + 2. Click on the graph until the correct one appears.

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=-\left|x\right|+2[/tex]

we know that

The graph is inverted V-shaped.

The x-intercepts are the points (-2,0) and (2,0)

The vertex is the point (0,2)

The domain is all real numbers

The range is all real numbers less than or equal to 2

using a graphing tool

The graph in the attached figure

find (fof)(0) f(x)=x^2
a.1
b.0
c.-8
d.-1

Answers

Answer:B

f(0)=0

Step-by-step explanation:

when 0 is squared it’s just 0

Answer: option b.

Step-by-step explanation:

Given the function f(x):

[tex]f(x)=x^2[/tex]

In order to find [tex](fof)(x)[/tex], the first thing you must do is to substitute the function f(x) into the same  function f(x). Observe the procedure:

[tex](fof)(x)=(x^2)^2[/tex]

Now, you need to simplify:

[tex](fof)(x)=x^4[/tex]

Finally, to find  [tex](fof)(0)[/tex] you need to substitute  [tex]x=0[/tex] into  [tex](fof)(x)=x^4[/tex], then you get:

 [tex](fof)(0)=(0)^4[/tex]

 [tex](fof)(0)=0[/tex]

Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes

Answers

if you multiply the number of necklaces sold by 4 for all 4 values in the first column of the table then you should get the value in the second column of the table

Table {4} represents the correct function that represents the profit function.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that Sara sells beaded necklaces she makes a profit of 4 dollars every necklace she sells.

Assume that she sells {x} necklaces in total. So, we can write the function for Sara's profit as -

y = 4x

We can see that table {4} is represented by the profit function.

Therefore, table {4} represents the correct function that represents the profit function.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

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Identify the law illustrated by: 4(3x-7) is equivalent to 12x-28.

Answers

Answer:

Distributive law of multiplication

Step-by-step explanation:

Answer:

Step-by-step explanation

A: No it is not the inverse law of multiplication which has something to do with division.

B: is your answer.

C: It is not the commutative Law. An example of that would be a*b =b*a

D: Identity of multiplication is 1.

27. A watch cost $75.99. If the sales tax
rate is 6.25%, what is the amount of
sales tax?
A $0.48
B $2.19
C $4.75
D $474.94​

Answers

Step-by-step explanation:

75.99 ×.0625=4.749

75.99+4.75(because I rounded)=

$80.74 total cost incase you have another step

75.99 ×.0625 = 4.749

I rounded to get 4.75.

75.99 + 4.75 = $80.74

$80.74 - $75.99 = $4.75

Answer: $4.75

what is the area of a triangle with a base of 7 cm and a hight of 4 cm

Answers

Answer:

14 cm²

Step-by-step explanation:

Using the formula given to calculate the area

with b = 7 and h = 4, then

A = [tex]\frac{1}{2}[/tex] × 7 × 4 = 0.5 × 28 = 14 cm²

find the inverse function of f x equals 2x / 3 - 17​

Answers

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{2x}{3}-17\to y=\dfrac{2x}{3}-17\\\\\text{exchange x to y and vice versa:}\\\\x=\dfrac{2y}{3}-17\\\\\text{solve fro y:}\\\\\dfrac{2y}{3}-17=x\qquad\text{add 17 to both sides}\\\\\dfrac{2y}{3}=x+17\qquad\text{multiply both sides by 3}\\\\2y=3x+51\qquad\text{divide both sides by 2}\\\\y=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}[/tex]

Which is a correct classification for the triangle?

Answers

Step-by-step explanation:

All three sides are equal, so this is an equilateral triangle.

Answer:

This is an equilateral triangle

Step-by-step explanation:

All three sides are equal, making it equilateral

whats 9 plus 10



ps its 21



Answers

Answer:

it is 21 because 9+10=19+2=21-10=11+10=21 its magic

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9 + 10 = 19

It is impossible for it to be 21.

10

9

----

1 9

Hope this helps.

Alice.

find the volume of the sphere centered at O length of CO is 4.5 cm​

Answers

Answer:

V=4/3 πr3

I belive it is.

Answer:

V=121.5pi cm^2

Step-by-step explanation:

V=(4/3)*pi*r^3

V=(4/3)*pi*91.125

V=121.5pi cm^2

What is a fade out transition? A. A scrolling transition B. A transition that happens in the middle of a frame C. A transition that happens as a frame appears D. A transition that happens as a frame disappears

Answers

Answer:

It's between C and D. I would say it's D.

Step-by-step explanation:

Hope my answer has helped you!

Answer:The answer is D.

By: Syrenity Holford

What is the slope of the equation y - 3 = -4(X - 5)?

Answers

Answer:

Step-by-step explanation:

y - 3 = -4(x - 5)

Add 3 to both sides to isolate y

y = -4 ( x - 5 ) + 3

Distribute

y = -4x +20 + 3

Combine like terms

y = -4x + 23

y = mx + b is standard form for which m is slope

m = -4

Please mark for brainliest!! :D Thanks!!

If you have any questions or need more information, please comment below and I'll respond asap!!

Answer:

-4

Step-by-step explanation:

Distribute -4 into the parenthesis and get -4x + 20. The number paired with x is the slope, usually represented by m in y = mx + b. So, the slope is -4. For the full slope intercept format, move the -3 on left side to the right by adding 3. The new equation is y = -4x + 23.

Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment? a. $2,248.75 b. $2,409.75 c. $3,381.00 d. $3,577.00 Please select the best answer from the choices provided

Answers

Answer:

a) $2248.75

Step-by-step explanation:

Susan pays $0.3 per $100

For $483000, she pays $1449 insurance annually : Calculation shown below

483000/100 x 0.3 = $1449

Monthly instalments of the insurance premium for 12 months :

annual insurance premium/ 12 months

1449/12 = $120.75

Monthly mortgage payments = $2128

Monthly total payments = monthly mortgage payments + monthly insurance premium instalment.

                                       = 1449 + 120.75

                                       = $2248.75

!!

What is the explicit formula for this sequence -7, -4, -1, 2, 5

Answers

[tex]a_n=3n-10[/tex]

Answer:

an = -7 + (n - 1) 3

Step-by-step explanation:

8x=2y+5
3x=y+7
what is the solution ?

Answers

Answer: (4.5, 6.5) is your solution

Step-by-step explanation:

You need either the x term or the y term to be the same in both equations so you can eliminate them...

8x=2y+5

6x=2y+14

Now you can subtract the two equations...

2x=9

Divide 9 by 2....

x=4.5 or 4 1/2

Plug in x into one of the original equations to find y...

13.5=y+7

Subtract 7 from 13.5...

6.5=y

Solve for z :2x+6yz=2xz+2y

Answers

Answer:

z = [tex]\frac{y-x}{3y-x}[/tex]

Step-by-step explanation:

2x+6yz=2xz+2y  (rearrange so that z is on one side)

6yz - 2xz = 2y - 2x   (divide both sides by 2)

3yz - xz = y - x   (factor our z from LHS)

z (3y - x) = y - x

z = [tex]\frac{y-x}{3y-x}[/tex]

What is the result when the number 25 is decreased by 20%?

Answers

Answer:

20

Step-by-step explanation:

100% - 20% = 80%.

80% of 25 = 25 x 0.8 = 20

Final answer:

When the number 25 is decreased by 20%, the result is 20.

Explanation:

To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.

20% of 25 is (20/100) x 25 = 5.

Subtracting 5 from 25, we get the result as 20.

Learn more about percentage decrease here:

https://brainly.com/question/29763752

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