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Olenka [21]
2 years ago
15

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space in

side so they can also be used to store props. 16 in16\text{ in} 16 in 8 in8\text{ in} 8 in 6 in6\text{ in} 6 in 20 in20\text{ in} 20 in 12 in12\text{ in} 12 in How much space is inside the steps?

Mathematics
2 answers:
Masteriza [31]2 years ago
5 0

Answer:

The answer is 2880

Step-by-step explanation:

TRUsT MEEE

ololo11 [35]2 years ago
3 0

Answer:

The total volume of the space inside the steps is 2880 cubic inches.

Step-by-step explanation:

Given : A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props 16 in, 8 in, 6 in, 20 in, 12 in.

To find : How much space is inside the steps?

Solution :

According to question,

The image form of store props is a prism split into two rectangular prism.

Refer the attached figure below.

The bottom portion of the steps having dimension 16\times 20\times 6

The volume of the bottom portion is

V=l\times b\times h

V=16\times 20\times 6

V=1920 in^3

The top part have a width of 8 inches as entire width of bottom is 16 inches.

Length is 20 inches.

height of the steps is 6 inches as total height is 12 inches.

The volume of the top part is

V=l\times b\times h

V=20\times 8\times 6

V=960 in^3

So, the total volume of the space inside the steps is

1920+960 = 2880 cubic inches.

Therefore, The total volume of the space inside the steps is 2880 cubic inches.

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IRINA_888 [86]

Answer:

1) 15a - 15c + 3

2) -7n + 31 + 13m + 7p  or  13m - 7n + 7p + 31

3) 44x + 6y + 3

4) 9m - 6n + 23

Step-by-step explanation:

1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c

2. Add like terms. You can rearrange them in descending order based off of exponents and variables.

3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.

4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.

8 0
3 years ago
The baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached
marusya05 [52]

Answer:

the giraffe gained 58 pounds each month.

Step-by-step explanation:

do 538-132 then do 406÷7. you will get 58.

hope this helps!

8 0
3 years ago
The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway
marysya [2.9K]

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

d =5

From the question, we have:

1\ unit = 6.4\ miles

So:

d =5 * 6.4\ miles

d =32\ miles

3 0
2 years ago
PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!
dsp73

Answer:

the required answer is 64

Step-by-step explanation:

b/4 =16

b = 16 × 4

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7 0
2 years ago
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Evaluate 2 + 4/5 n for n = 1/4
Sophie [7]

Answer:

2\frac{1}{5}

Step-by-step explanation:

4 0
3 years ago
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