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3 years ago

What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm?

2 answers:

7 0

Hey there! :)

Tho formula for finding volume of a pentagonal prism → area × height

Area = 5.16
Height = 9

<em>All you have to do is multiply</em>

5.16 × 9 = 46.44

Your answer is the 1st choice = 46.44 cm³

Hope this helps :)

Vikki [24]3 years ago

3 0

The volume of a pentagonal prism is given by the following formula:

$V = ah$

a is the base area, and h is the height of the prism.

We already have our base area and height, so plug them into the equation:

$a = 9, h = 5.16$

$9 \times 5.16 = 46.44$

The volume is 46.44 centimeters cubed.

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Anyone know the area?

Elina [12.6K]

Answer: The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = ( $\frac{1}{2}$ ) * b * h ;

in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;

= (13 cm * 5 cm) / 2 ;

= [ (13 * 5) cm²] / 2 ;

= 65 cm² / 2 ;

A = " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________

5 0

3 years ago

A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function

Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

$m(t) = 120e^-^0^.^0^1^8^(^5^0^)$

$m(t) = 120e^-^0^.^9$

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

#SPJ1

7 0

1 year ago

There are 98 balls in a box. 25 of them are red, 19 of them are green, 30 of them are purple,and 24 of them are blue. Suppose Ha

dlinn [17]

Answer:

Since the balls are drawn with replacement, it means the individual probability remain constant,

I have solved this problem on paper (Figures Attached).

Thanks.

6 0

3 years ago

Read 2 more answers

Pants are 25% if pants are $50 what is the new price

Contact [7]

Answer: $37.50

Step-by-step explanation: Assuming you mean 25% off and not 25% of the original price, first convert 25% to a decimal by dividing by 100. 25%/100=0.25. Multiply the price by 0.25. 50*0.25=12.5. Subtract the discount from the original price. 50-12.5=37.5.

3 0

3 years ago

PLEASE HELP!!!!

3241004551 [841]

Answer: Correct

Step-by-step explanation:

The conclusion is valid. Since $\overline{AB} \parallel \overline{DC}$ and $\overline{AD} \parallel \overline{BC}$ , we know that ABCD is a parallelogram because it has two pairs of parallel sides. Also, since $\overline{AB} \cong \overline{BC}$ , we know that ABCD is a parallelogram with a pair of consecutive congruent sides, making it a rhombus.

3 0

2 years ago