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2 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?

Mathematics

2 answers:

atroni [7]2 years ago

6 0

Answer:

46.44 cm /\ 3 hope you got it right.

Step-by-step explanation:

strojnjashka [21]2 years ago

4 0

The volume of a pentagonal prism that has a base area of 5.16 cm^2 and a height of 9cm is 46.44cm^3

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A runner completed a 26.2-mile marathon in 210 minutes.Estimate the unit rate, in minutes per mile. Round your answer to the nea

ELEN [110]

Answer:

The unit rate in minutes per miles be 8.02 minutes per miles .

Step-by-step explanation:

Step 1. 26.2 miles/ 210 mins = x miles / 1min

1 * 26.2 / 210 = .12 miles / min

Step 2. 26.2. 0.13

÷210.

210. 1

(The amount miles ran in 1 minute is 0.13 miles.)

Step 3. 26.2/210= .125 miles per minute

210/26.2= 8.02 minutes per mile

Step 4. 1) Cross multiply. (26.2 = 210x)

2) Divide 210 from each side. (26.2/210 = .1247619048 , 210x/210 = x)

3) Round to the nearest 100th. (.12)

4) X=.12

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1 year ago

What is the x-coordinate of point P on the coordinate grid?

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2 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

<u>To find the value of b, </u>

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

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