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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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A die has six sides, with the numbers 1, 2, 3, 4, 5, and 6. What is the probability of rolling a number greater than 2? ​
Vinil7 [7]

Answer:

1/2

Step-by-step explanation:

There are 3 numbers greater than 2: 3, 4, 5, and 6. There are 6 numbers, so it is 3/6=1/2.

8 0
2 years ago
What is the value of the arithmetic series below?
xxTIMURxx [149]

Answer:

(A)-494

Step-by-step explanation:

Given the arithmetic series

S_{19}=\sum_{k=1}^{19}4-3k

The terms in the sequence are:

  • When k=1, 4-3k=4-3(1)=1
  • When k=2, 4-3k=4-3(2)=-2
  • When k=3, 4-3k=4-3(3)=-5

Therefore, the terms in the sequence are: 1, -2, -5, ...

First term, a =1

Common difference, d=-2-1=-3

The sum of an arithmetic series, S_n=\dfrac{n}{2}[2a+(n-1)d]

Therefore:

S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494

The correct option is A.

6 0
3 years ago
Use properties to find the sum or product
Taya2010 [7]
Use Commutative Property: a + b = b + a
and Associative Property: (a + b) + c = a + (b + c)

34 + 0 + 18 +26 = (34 + 26) + 18 = 60 + 18 = 78

4 0
4 years ago
24(height) cm 3.5(length) cm 13(width) cm find the surface area of the prism
Kitty [74]

Answer:

2395 cm²

Step-by-step explanation:

You need to find the area of each side of the prism.

the first side is 3.5x24 which equals 840. there are two of those sides since it's a prism, so multiply by 2. 840x2=1680.

the second side is 13x3.5 which is 45.5. multiply that by 2 for the other side, 45.5x2=91.

repeat for the third side: 24x13=312. 312x2=624.

add all of the sides up to get total surface area. 624+91+1680=2395. :)

5 0
3 years ago
EASY BRAINLIEST PLEASE HELP!!
Galina-37 [17]

Answer: B

Step-by-step explanation: its B

8 0
3 years ago
Read 2 more answers
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