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s344n2d4d5 [400]
2 years ago
15

A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism

with height labeled h. the pentagonal base has side edge labeled 12 millimeters. apothem from center to a base edge is labeled 5 millimeters. the height of the prism is millimeters.
Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon =  (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem,  P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area  of the base  = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

            = 2850 / 150

            = 19 mm.

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Natalija [7]

Answer:

3/2

Step-by-step explanation:

7 0
3 years ago
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Someone help me out please
enot [183]

Hey there!

150 = 8x + 6y

↠ 150 = 8x + 6(9)

↠ 8x + 6(9) = 150

↠ 8x + 54 = 150

SUBTRACT 54 to BOTH SIDES

8x + 54 - 54 = 150 - 54

CANCEL out: 54 - 54 because that gives you 0

KEEP: 150 - 54 because helps solve for x

↣150 - 54 = 96↢

NEW EQUATION: 8x = 96

DIVIDE 8 to BOTH SIDES

8x/8 = 96/8

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96/8 = x

x = 12

Answer: x = 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
Emily had $56 in her account. She deposited a $265 check, and bought three equally priced backpacks for her children. The next d
Slav-nsk [51]
56+265= 321
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6 0
3 years ago
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Select the correct answer.
likoan [24]

Answer:

C

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

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7 0
3 years ago
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The expression 148 – 24d gives the number of pizzas a store has in stock, where d is the number of days. How many pizzas will th
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Explanation

A function is defined as a relation between a set of inputs having one output each,in this case our independent variable is the number of days( d) and the dependent variable would be the number of pizzas

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Step 1

let the function

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therefore, to know the number of pizzas are in the stock after 5 days we need to evaluate the equation for d=3

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\begin{gathered} P=148-24d \\ let\text{ d=5 and evaluate} \\ P=148-24(5) \\ P=148-120=28 \\ P=28 \end{gathered}

so, after five day there willbe 28 pizzas in stock

I hope this helpsyou

6 0
1 year ago
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