PLEASE HELP ME WITH THIS I NEED TO GET IT DONE WITH

Mathematics

1 answer:

stepan [7]3 years ago

5 0

Answer:

Correct answer: V = 82.5 in³

Step-by-step explanation:

This is a regular five sided prism.

Given:

The base edge a = 4 in

The radius of the inscribed circle or the height of an isosceles triangle

Ri = h = 2.75 in

Prism height H = 3 in

The base consists of five isosceles triangles

The area of one triangle is:

A₁ = a · h / 2

The area of the base is:

B = 5 · A₁ = 5 · a · h / 2

B = 5 · 4 · 2.75 / 2 = 27.5 in²

The volume of the prism is:

V = B · H = 27.5 · 3 = 82.5 in³

V = 82.5 in³

God is with you!!!

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Neko [114]

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6 0

3 years ago

Solve for x. 83 = 35^x Express the answer to the hundredths place (i.e., two digits after the decimal point). x =

devlian [24]

Answer:

x = 1.24

Step-by-step explanation:

In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:

$ln(83)=ln(35)^x$

We can bring the x down in front to give us:

ln(83) = x ln(35)

The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:

$\frac{ln(83)}{ln(35)}=x$