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ss7ja [257]
3 years ago
8

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height

of 7cm. The pyramid has a height of 13 cm find the volume of the composite space figure
A. 1,500 cm^3
B. 500 ^3
C. 975 cm^3
D. 850 cm^3
Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

D: 850 cm^3

Step-by-step explanation:

You sum the volumes.

Prism is 15*5*7 = 525

Pyramid is 15*5*13/3  = 325

Sum is 850

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Step-by-step explanation:

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IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

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The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

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Make y the subject

y  =2x - 12+17

y  =2x +5

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Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

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The total profit for a company in February was 15% higher than it was in January. The total profit for the two months was $122,9
stepladder [879]

Answer:

The profit for January is $57,200.

Step-by-step explanation:

The total profit for the two months would be the result of adding up the profit in January plus the profit in February:

Total profits=Profit in January+Profit in February

Also, you can say that profits in January can be represented by x and you know that the profit for a company in February was 15% higher than it was in January which can be expressed as: 1.15x. Moreover, you know that the total profit for the two months was $122,980. Now, you can replace the values on the formula:

122,980=x+1.15x

Now, you can solve for x:

122,980=2.15x

x=122,980/2.15

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According to this, the answer is that the profit for January is $57,200.

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