A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?A.156 cubic feet
B.278 cubic feet
C.300 cubic feet
D.324 cubic feet

Answers

Answer 1

Answer: The best answer would be letter C. The volume or the amount of liquid that the pyramid can hold would be 300 cubic feet. I got this answer through solving for the volume of a pyramid with a rectangular base, which formula is '(lwh)/3'. So i multiplied everything given in the problem and divided it by 3.

Answer 2

Answer:

Answer :

A. 156 cubic feet

B. 278 cubic feet

C. 300 cubic feet

D. 324 cubic feet

Explanation :

Volume of pyramid is $V = (1)/(3) * BaseArea*Height$

[ L = 10 , w = 6 , h = 15 ] Ft. each

Base Area $A_(b)$ = 10.6 x 6 = 60 Sq. Ft.

Volume Of Pyramid :

$V = (1)/(3) *60*15 = 300Cubic Ft.$

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Point P was rotated by 120(the center of rotation is indicated)

Answers

After rotating point P by 120 degrees around the indicated center of rotation, the new position of point P can be calculated using trigonometric principles and the fraction of a full rotation it has undergone, resulting in its new coordinates.

To find the new position of point P, we can use the following steps:

Draw a line segment from the center of rotation to point P.

Measure the angle between the initial position of the line segment and the final position after the rotation. In this case, the angle is 120 degrees.

Divide the angle of rotation by the number of equal parts in a full circle (360 degrees). This will give us the fraction of a full rotation that the point has undergone. In this case,

120/360 = 1/3 of a full rotation.

Using trigonometric functions (sine and cosine), calculate the new coordinates of point P based on its distance from the center of rotation and the fraction of the circle it has rotated through.

To know more about rotation here

brainly.com/question/34828607

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Answer:

I think it is

hope this helps

Use the discriminant to determine the number and type of solutions to the quadratic equation. Show all work for full credit! 2+ 8= 13

Answers

Answer:

The equation has two different real solutions

Step-by-step explanation:

The discriminant of the quadratic equation ax² + bx + c = 0 is Δ = b² - 4ac, it used to find the number and type of solutions

Δ > 0, means two different real solutions
Δ = 0, means one real solution
Δ < 0, means no real solutions

∵ The equation is a² + 8a = 13

- Put it in the form ax² + bx + c = 0

- Subtract 13 from both sides

∴ a² + 8a - 13 = 0

∴ The coefficient of a² = 1, the coefficient of a = 8 and the

numerical term = -13

∵ Δ = (coefficient of a)² - 4(coefficient of a²)(numerical term)

∴ Δ = (8)² - 4(1)(-13)

∴ Δ = 64 + 52

∴ Δ = 116

∵ Δ > 0

∴ The equation has two different real solutions

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'? (5 points)A.C' (2, −3)
B.C' (−2, −3)
C.C' (−2, 3)
D.C' (2, 3)

Answers

After rotation the output for point C´ would be ( - 2 . -3 ). There is also a graph showing rotation in the attachment.

On a blueprint of a house, 48 millimeters represents 7 meters. The length of the living room is 60 millimeters on the blueprint. what is the actual length

Answers

Here is the equation 48/7=60/x, 48÷7=6.8571428571. Now we know that every one meter in real life is equal to 6.8571428571 millimeters so, 60÷6.8571428571= 8.75 meters. The living room is 8.75 meters

What is 2.9% of 1000

Answers

' 2.9% ' means ' 0.029 '

' of ' means ' times '

' 2.9% of 1,000 ' means ' 0.029 x 1,000 '

0.029 x 1,000 = 29

1000 x 2.9 %= 29. This is how my math teacher told me how to do it.

I don't understand how to do this. can someone please help me? and show me HOW to do it? thank you <3

Answers

If you are asking about the second one..the answer would be 146.3 meters. An easy way to do this is to remember that every yard equals 0.9144. All I did was multiply 160 by 0.9144, and I got my answer!

Hope this helps!

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