Answer: point, line, and plane.
Step-by-step explanation:
Answer:
Hope it helps In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. A line is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions.
Step-by-step explanation:
2 question 7 in picture :)
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
M is the Mid Point of HS and GT
To Prove:
Δ GMH ≅ Δ TMS
Proof:
In Δ GMH and Δ TMS
M is the Mid Point of HS and GT ........{Given}
GM ≅ MT ....……….{ M is the Mid Point of GT }
HM ≅ SM …………..{ M is the Mid Point of HS }
∠ GMH ≅ ∠ TMS ....……….{ Vertical opposite angles are equal}
Δ GMH ≅ Δ TMS ..........….{ By Side-Angle-Side test} ...Proved
Janis is at the store shopping for snacks for her trip to the zoo. She purchases 9 / 11 pound of grapes, 1 3/4 pounds of bananas and 2 5/6 pounds of apples.
(A) what is the weight of each type of fruit in decimal form?
(B) Does the weight of each type of fruit in decimal form represent a rational number? Explain.
Answer:
A. What is the weight of each type of fruit in decimal form?
Grapes in decimal form = 0.8181 pounds
Bananas in decimal form = 1.75 pounds
Apples in decimal form = 2.8333 pounds
B. Does the weight of each type of fruit in decimal form represent a rational number? Explain.
Of course, each of the weights of the fruits in decimal form represent a rational number. The weights can be expressed as a fraction where both the numerator and the denominator in the fraction are integers, like we checked with 9/11, 1 3/4 and 2 5/6. The denominator in a rational number cannot be zero.
Step-by-step explanation:
1. Let's check the information provided to us to answer the questions correctly:
Janis purchased:
9/11 pounds of grapes
1 3/4 pounds of bananas
2 5/6 pounds of apples
2. What is the weight of each type of fruit in decimal form?
Grapes in decimal form = 0.8181 pounds
Bananas in decimal form = 1.75 pounds
Apples in decimal form = 2.8333 pounds
3. Does the weight of each type of fruit in decimal form represent a rational number? Explain.
Of course, each of the weights of the fruits in decimal form represent a rational number. The weights can be expressed as a fraction where both the numerator and the denominator in the fraction are integers, like we checked with 9/11, 1 3/4 and 2 5/6. The denominator in a rational number cannot be zero.
is the product of (a - b)(a - b) is a perfect square trinomial.
Use the formula (b/2)² in order to create a new term in order to find the perfect square trinomial.
a² - 2ab + b²
Answer:
The answer is never
Step-by-step explanation:
I hope this helps
Given: ΔPQR; ∠Q = 52°; p = 3; and q = 4. Find ∠P to the nearest tenth of a degree.
Answer:
36.2
Step-by-step explanation:
each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the triangle. PLEASE HELP QUICK!
Answer:
The area of the region inside the circumcircle of the triangle but outside the triangle is
[tex]A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of triangle
we have an equilateral triangle
Applying the law of sines
[tex]A_t=\frac{1}{2}(b^2)sin(60^o)[/tex]
where b is the length side of the equilateral triangle
we have
[tex]b=9\ units[/tex]
[tex]A_t=\frac{1}{2}(81)sin(60^o)[/tex]
[tex]A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}[/tex]
[tex]A_t=81\frac{\sqrt{3}}{4}\ units^2[/tex]
step 2
Find the area of circle
The area of the circle is equal to
[tex]A_c=\pi r^{2}[/tex]
The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to
[tex]r=b\frac{\sqrt{3}}{6}[/tex]
where b is the length side of the equilateral triangle
we have
[tex]b=9\ units[/tex]
substitute
[tex]r=(9)\frac{\sqrt{3}}{6}[/tex]
[tex]r=3\frac{\sqrt{3}}{2}\ units[/tex]
Find the area
[tex]A_c=\pi (3\frac{\sqrt{3}}{2})^{2}[/tex]
[tex]A_c=\frac{27}{4} \pi\ units^2[/tex]
step 3
Find the area of the shaded region
we know that
The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle
so
[tex]A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2[/tex]
Simplify
[tex]A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2[/tex]
Use the distributive property to write each expression as an equivalent expression. Then evaluate it. (5+1)3
Answer:
18
Step-by-step explanation:
(5+1)3=5*3+1*3=15+3=18
When ringing up a customer ,a cashier needs 27 seconds to process payment as well as 4 seconds to scan each item being purchased .If it takes 43 seconds to ring up a customer, how many items are being purchased
Answer:
The number of items are being purchased is 4 .
Step-by-step explanation:
Given as :
The time taken to process the payment = 27 seconds
The time taken to scan each items = 4 seconds
The total time taken to ring up a customer = 43 seconds
Let The number of items being purchased = n
Now, According to question
The total time taken to ring up a customer = The time taken to process the payment + The time taken to scan each items × The number of items being purchased
i.e 43 = 27 + 4 × n
Or, 4 × n = 43 - 27
Or, 4 × n = 16
∴ n = [tex]\dfrac{16}{4}[/tex]
I.e n = 4
So, The number of items being purchased = n = 4
Hence, The number of items are being purchased is 4 . Answer
Frank rolled a die 7 times and recorded his results in the
ames and recorded his results in the tally chart below. What is the experimental
probability of rolling a 2?
Answer:
Rolling a 2 seven times = [tex]3.57\times 10^{-6}[/tex]
Step-by-step explanation:
Given:
A die is rolled seven times.
Number of possible outcomes in a die = {1, 2, 3, 4, 5, 6}
So, n(S) = 6
Now, rolling a '2' is given as:
[tex]P(2)=\frac{\textrm{Favourable outcome}}{\textrm{Total possible outcomes}}=\frac{1}{6}[/tex]
Now, rolling a die seven times resulting in a '2' is given as the product of the probability at each time.
Therefore, the experimental probability of rolling a 2 seven times is given as:
[tex]=[P(2)]^7\\\\=(\frac{1}{6})^7\\\\=3.57\times 10^{-6}[/tex]
The number of transitions double every 24 months ,what type of relationship is it ?
Answer: gay
Step-by-step explanation: y = mc2
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 3?
A. 4:1
B. 1:4
C. 3:1
D. 1:3
PLEASE ANSWER
Option B
When you roll two number cubes, the odds in simplest form against getting two numbers greater than 3 is 1 : 4
Solution:The probability of an event is given as:
[tex]\text {probability of an event }=\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}[/tex]
Given that,
Tow number cubes are rolled
To find: Probability of getting two numbers greater than 3
On a number cube there are 6 numbers {1, 2, 3, 4, 5, 6} Out of which 3 numbers are greater than 3 {4, 5, 6}
So, total number of possible outcomes = 6
Favourable outcomes = number greater than 3 = 3
When you roll one number cube, probability of getting number greater than 3:
[tex]\text { Probability (number greater than } 3 \text { ) }=\frac{3}{6}[/tex]
When you roll two number cubes, probabilty is given as:
[tex]\text { Probability (number greater than }3)= \frac{3}{6} \times \frac{3}{6}=\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}[/tex]
[tex]Probability = \frac{1}{4}[/tex]
In ratio form we can write as 1 : 4
Option B is correct
Answer:
Actually... It's A
Step-by-step explanation:
Odd against is not 1:4, it's most likely 4:1
1:4 is odds in favor, not odds against.
Kevin and Levi go to the movie theater and purchase refreshments for their friends.
Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.
Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Answer:
The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]
Step-by-step explanation:
Let the Cost of bags of popcorn be 'x'.
Let the Cost of drinks be 'y'.
Given:
Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.
Now Total Money Spend by Kevin is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.
framing in equation form with given details we get;
[tex]3x+4y=44.50[/tex]
Also Given:
Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.
Now Total Money Spend by Levi is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.
framing in equation form with given details we get;
[tex]4x+8y=84.00[/tex]
Hence The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]
Nikko is printing 500 one-page flyers for a car wash. He is using two
printers. One printer can print 500 pages in 20 minutes. The other printer
can print 500 pages in 25 minutes. About how long will it take Nikko to
print the 500 flyers for the car wash using both printers?
-)
A
23 minutes
1)
B
11 minutes
) ©
9 minutes
-
D
5 minutes
Answer:
11 minutes.
Step-by-step explanation:
To print 500 pages the first printer takes 20 minutes.
Then in one minute it can print [tex]\frac{500}{20} = 25[/tex] pages.
Again, to print 500 pages the first printer takes 25 minutes.
Then in one minute it can print [tex]\frac{500}{25} = 20[/tex] pages.
So, working together both the printer will print (20 + 25) = 45 pages in 1 minute.
Therefore, they will print 500 pages in [tex]\frac{500}{45} = 11.11[/tex] minutes ≈ 11 minutes. (Answer)
can someone help me please
Answer:
a. 1200 f. 900
b. 600 g. 5700
c. 900 h. 4800
d. 300 i. 8300
e. 800 j. 8500
Step-by-step explanation:
First of all, you need to compute the sums. I find a calculator handy for this.
To round to hundreds, you can examine the digit in the next place to the right of the hundreds place. That digit in the tens place needs to be compared to 5. If it is 5 or greater, add 1 to the digit in the hundreds place. After you have done that, set the digits to the right of the hundreds place to zero.
__
Alternatively, you can add 1/2 of 100 to the sum, then set the digits to the right of the 100s place to zero. (Adding 50 will only change the 100's place digit if the 10's place digit is 5 or more.) This method doesn't require you do any thinking about the size of the digit; it is purely mechanical.
The sums and their rounded values are ...
a. 1221 ⇒ 1200
b. 568 ⇒ 600
c. 931 ⇒ 900
d. 347 ⇒ 300
e. 798 ⇒ 800
f. 911 ⇒ 900
g. 5681 ⇒ 5700
h. 4766 ⇒ 4800
i. 8328 ⇒ 8300
j. 8507 ⇒ 8500
Sam claims that cos X=sin Y if X and Y are congruent angles. Is Sam correct?
No, Sam is not correct. Cosine and sine are not always equal for congruent angles.
Explanation:No, Sam is not correct. Congruent angles have the same measure, but cosine and sine are not always equal for congruent angles. Cosine measures the ratio of the adjacent side to the hypotenuse in a right triangle, while sine measures the ratio of the opposite side to the hypotenuse. These ratios are not the same in most cases, so cos X will not equal sin Y for congruent angles.
7. If angle A is supplementary to angle B, angle A
and angle C are vertical angles, and the measure of angle C =
45, what is measure of angle B?
Answer:
angle b is 135 degrees
Step-by-step explanation:
lets work backwards to solve this
if angle c is 45, c is vertical to angle a, and we know vertical angles equal each other, we can reduce that angle a equals 45
if angle a is supplementary to angle b, and we know angle a is 45 degrees, we can make the equation 45+b=180. subtracting 45 from 180, we get 135 degrees for angle B
A young sumo wrestler decided to go on a special diet to gain weight rapidly
W represents the wrestlers weight (in kilograms) after t months
W=80+5.4t
What was the wrestlers weight before his special diet
The weight of wrestler was 80 kg before the special diet
Step-by-step explanation:
Given function is:
[tex]W=80+5.4t[/tex]
We can substitute the values of t to find the weight after t number of months
When we have to find the initial weight , t has to be put equal to zero
So,
[tex]W = 80+5.4t\\t = 0\\W = 80 + 5.4(0)\\W = 80+0\\W = 80[/tex]
Hence,
The weight of wrestler was 80 kg before the special diet
Keywords: Functions, variables
Learn more about functions at:
brainly.com/question/6465937brainly.com/question/6431715#LearnwithBrainly
Answer:
80
Step-by-step explanation:
i'm not sure but the answer for people on khan
7=1/3(8x+3)
Solve for x in simplest form
Answer:
x=2 1/4
Step-by-step explanation:
Let's swap it around so its 1/3(8x+3)=7
Now you multiply both sides by 3 to make it 1(8x+3)=21
That means its 8x+3= 21
Subtract both sides by 3 to get rid of it
Now you have 8x=18
Which equals to x= 18/8
Which equals 2 1/4
If f(x) = 6x2 - 4 and g(x) = 2x+ 2, find (f - g)(x).
O A. 6x2 - 2x - 6
O B. 6x2 - 2x-2
O c. 44²-6
O D. 2x - 5x2 - 2
Answer:
A
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 6x² - 4 - (2x + 2) ← distribute parenthesis by - 1
= 6x² - 4 - 2x - 2 ← collect like terms
= 6x² - 2x - 6 → A
Answer:
A. 6x^2 - 2x - 6.
Step-by-step explanation:
( f - g)(x)
= 6x^2 - 4 - (2x + 2)
= 6x^2 - 4 - 2x - 2
= 6x^2 - 2x - 6.
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of the roast drops to 135°F.
The temperature of the room is 70°F.
How long does it take for the temperature of the roast to drop to 110°F?
Use the Newton's Law of Cooling equation, T(t)=TA+(T0−TA)ekt .
Enter your answer in the box. Round your answer to the nearest minute.
Please help me get to this answer?
Answer:
55 minutes :)
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min
Answer:
34 minutes
Step-by-step explanation: I just took the test
Which adjustment would turn the equation y= -3x^2+4 into a linear function
take 4 out of the equation
switch the variables x and y
make an exponet 1 insted of 2
change -3 into a postive number
Answer: Third option.
Step-by-step explanation:
It is important to know the following:
1. The Slope-Intercept form of a Linear function is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
Notice that the highest exponent of the variable "x" is 1.
2. The General form of a Quadratic function is:
[tex]y=ax^2 + bx + c[/tex]
Where "a", "b" and "c" are known values ([tex]a\neq 0[/tex])
Notice that that the highest exponent of the variable "x" is 2.
The equation given in the exercise is:
[tex]y= -3x^2+4[/tex]
Observe that highest exponent of the variable "x" is 2. Therefore, it is a Quadratic equation.
Therefore, making an exponent 1 instead of the exponent 2 would turn the given equation into a Linear function.
Final answer:
To turn the quadratic equation y = [tex]-3x^2[/tex] + 4 into a linear function, the exponent on the x term must be changed from 2 to 1.
Explanation:
The equation y =[tex]-3x^2[/tex] + 4 is a quadratic function due to the exponent 2 on the x term. To turn this equation into a linear function, we need to have the highest exponent of x equal to 1 since linear functions are of the form y = mx + b, where m and b are constants, and x is raised to the first power.
Therefore, the adjustment that would turn the equation into a linear function is to make the exponent 1 instead of 2.
There are 5280 feet in 1 mile. How many feet are in 3.5 miles?
Answer:
6
Step-by-step explanation:
Answer:
[tex]5280 \: feet \: = 1 \: mile \\ \\ = > 1 \: mile \: = 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 3.5 \times 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 18480 \: feet[/tex]
the legs of a right triangle measure 7 units and 24 units. what is the measure of the hypotenuse? round to the nearest tenth is necessary
The measure of the hypotenuse is 25.0 units
Step-by-step explanation:
Let us revise how to find the length of the hypotenuse in a right Δ
If the two legs of a right triangle are x and yIf the hypotenuse is zAccording to Pythagoras Theorem [tex]z=\sqrt{x^{2}+y^{2}}[/tex]∵ The legs of a right triangle measure 7 units and 24 units
∴ x = 7 units and y = 24 units
∵ [tex]z=\sqrt{x^{2}+y^{2}}[/tex]
- Substitute the values of x and y in the rule to find z
∵ [tex]z=\sqrt{(7)^{2}+(24)^{2}}[/tex]
∴ [tex]z=\sqrt{49+576}[/tex]
∴ [tex]z=\sqrt{625}[/tex]
∴ z = 25 units
∵ z is the hypotenuse
∴ The measure of the hypotenuse = 25 units
The measure of the hypotenuse is 25.0 units
Learn more:
You can learn more about the right triangle in brainly.com/question/11236033
#LearnwithBrainly
How many solutions does the system have?
x=y-2
-3x+3y=6
Answer:
Infinitely many solutions.Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x=y-2&(1)\\-3x+3y=6&(2)\end{array}\right\qquad\text{substitute (1) to (2)}\\\\-3(y-2)+3y=6\qquad\text{use the distributive property}\\-3y+6+3y=6\qquad\text{combine like terms}\\(-3y+3y)+6=6\\6=6\qquad\bold{TRUE}\\\\\text{That is why the system of equations has infinitely many solutions.}[/tex]
Write The Mixed Number As A Fraction Or The Fraction As A Mixed Number
Answer:
14.06=703/50
Step-by-step explanation:
14.06=703/50
Answer:
what is the number in the word problem
Step-by-step explanation:
A large office desk has an area of 42 ft2. If the width is 3.5 feet write an equation to represent the area
Answer:
Step-by-step explanation:
A = L * W
A = 42
W = 3.5
now sub
42 = 3.5L <=== ur equation
Please help me I beg you substituteion with negative number & order of operations unite 2
Answer:
see explanation
Step-by-step explanation:
(10)
To evaluate f(- 4) substitute x = - 4 into f(x)
f(x) = 7x - 4x + 3 = 3x + 3
f(- 4) = 3(- 4) + 3 = - 12 + 3 = - 9
(11)
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = 2(- 2)² - 8 = 2(4) - 8 = 8 - 8 = 0
(12)
To evaluate g(- 3) substitute x = - 3 into g(x)
g(- 3) = - 2(- 3)² + 3(- 3) = - 2(9) - 9 = - 18 - 9 = - 27
PLZ help reaally super fast
Answer:
The Value of tan x is the option E.
[tex]\tan x=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Given:
[tex]\textrm{Opposite side to angle x}= 8[/tex]
[tex]\textrm{Adjacent side to angle x}= 6[/tex]
To Find:
[tex]\\tan x=?[/tex]
Solution:
In a Right Triangle Tangent Identity is
[tex]\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}[/tex]
Substituting the values we get
[tex]\tan x= \dfrac{8}{6}=\dfrac{4}{3}[/tex]
The Value of tan x is the option E.
[tex]\tan x=\dfrac{4}{3}[/tex]
Expand the expression:
7(10s-10)=
Answer:
70s-10 s=7
Step-by-step explanation:
first you want to multiply 7 * 10 which will give you 70 s -10 then you want to divide the 70 by 10 and you will get seven as your answer
Answer:
Step-by-step explanation:
7(10s-10)
= 70s - 70
i need help. i dont understand-
Answer:
39 degrees
Step-by-step explanation:
The square indicates a right angle, or 90 degrees. 90-51=39.
The ratio of Geoff’s to Ethan’s age is 1:10.If the total of their ages is 88, how old is Ethan
Answer:
80 years old
Step-by-step explanation:
the ratio is 1:10 and their total is 88. Just by looking at it you can see that Geoff's age is 8 and Eathan is 80. The total is 88 and the ratio also matches.
1:10 1 times 10 is 10
8:80 8 times 10 is 80
Answer:
hi there!
The correct answer to this question is: 80 years old
Step-by-step explanation:
you first need to set up to equations:
in this case: I will use the variable "e" for Ethan and "g" for Geoff
e=10g
g + e = 88
since e = 10g, substitute that into the second equation and you get 10g + g = 88
you add the variables and you get 11g=88 then you divide 11 on both sides and you get 8 so geoff is 8
then you plug 8 back into the second equation and you get ethan's age which is 80