The volume of the prism shown is 1,080 inches cubed. A rectangular prism with a length of 15 inches, width of 9 inches, and height of 8 inches. What is the volume of a pyramid with the same base length, base width, and height? 360 inches cubed 540 inches cubed 1,080 inches cubed 3,240 inches cubed

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  (a)  360 inches cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a rectangular prism with the same overall dimensions.

  (1/3)(1080 in³) = 360 in³ . . . . the pyramid volume


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Does proportional and congruent mean the same thing?
Solve, using the substitution method.2x + 4y = 16x – 7 = – 4y
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Shirley received $10 for her allowance. I went to the store to buy journaling supplies. She bought a pen for $1.58 and a notebook for $3.75. How much change did she get from her $10 bill
Which inequality models this situation? The time between two trains must be greater than 37 minutes. A. t < 37 B. 37 > t C. 37 – t = 0 D. t > 37

A system of linear equations is shown below 5x = 3y - 2
y= x + 4
What is the x-coordinate of the solution?

A. 2
B. 4
C. 5
D. 1

Answers

If you would like to find the x-coordinate of the solution, you can calculate this using the following steps:

5x = 3y - 2
y = x + 4
_________
5x = 3 * (x + 4) - 2
5x = 3x + 12 - 2
2x = 10
x = 5

The correct result would be C. 5.

3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Plug in each variable:
3(3)²-(-2)³-(-2)³-(-5)
3(9)-(-8)-(-8)+5
27+21
The answer is 48

Negative 4 plus 8 equals

Answers

Answer:

4

Step-by-step explanation:

You add -4 with 8 so you have -4 + 8 = 4

The answer to that would be 4.

The diameter of a round dinner plate is 10 inches. What is the area of the plate? A. 314 square inches
B. 39.25 square inches
C. 39.25 inches
D. 78.5 square inches

Answers

The area of table is 78.5 square inches.

What is area?

A figure's area is the amount of space it takes up in two dimensions. To put it another way, it is the number that tells how many unit squares cover the surface of a closed figure. Square units, such as square inches, square feet, and so on, are the standard measurement for area.

Given the diameter of dinner plate = 10 inches

shape of plate is circular

area of circle is πr²

where r is radius

r = d/2 = 10/2 = 5 inches

A = πr²

A = 3.14(5)²

A = 3.14 x 25

A = 78.5 square inches

Hence area is 78.5 square inches.

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A=πrˆ2
Since the diameter is 10 inches, the radius must be half of that: 10/2=5.
A=π(5)ˆ2
A=25π
A=25π or 78.54 inches

Choose the correct simplification of the expression (−2x + 8y)(9x − 3y).−18x2 + 78xy − 24y2
18x2 + 78xy − 24y2
−18x2 − 78xy + 24y2
−18x2 + 72xy − 24y2

Answers

For these kinds of expressions use FOIL (first, outside, inside, last).

-2x • 9x = -18x^2
-2x • -3y = 6xy
8y • 9x = 72 xy
8y • -3y = -24y^2

Now combine them all:

-18x^2 + 78xy - 24y^2

Answer:

The answer is A I just took the test

Step-by-step explanation:

Five cakes cost 4.00 how much do 7 cost

Answers

The cost of 7 cakes will be equal to 5.6.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the cost of 5 cakes is 4. The cost of 7 cakes will be calculated as,

5 cakes = 4

1 cake = 4 / 5

7 cakes = ( 4 x 7 ) / 5

7 cakes = 5.6

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you need to divide 5/4 and youll get the price for 1 cake (1.25) then just add 2 more times to 5 (6.5) is the total