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3 years ago

PLEASE ANSWER QUICKLY ITS TIMED!!! Which is the correct calculation for the volume of the prism

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

$=49.5cm^3$

so B is the answer $49\frac{1}{2} cm^3$

Step-by-step explanation:

$V=whl=2.75*6*3=49.5cm^3$

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Use the long division method to find the result when 12x3 + 1732 + 12x + 4 is<br> divided by 3x + 2.

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3 years ago

Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2

4vir4ik [10]

Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

$\displaystyle g(x)=-\frac{3}{x-2}+2$

Let's find the inverse of g.

Call y=g(x):

$\displaystyle y=-\frac{3}{x-2}+2$

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

$y(x-2)=-3+2(x-2)$

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

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3 years ago

Find the value of x.

castortr0y [4]

The angle x has a measure of 110 degrees

<h3>How to determine the value of x?</h3>

From the question, we have the triangle shape that can be used in our computation:

On the triangle, the external angles are

x, 140 and 110

These angles are on the same straight line with their corresponding internal angles

By the angle on a straight line theorem, we have the internal angles to be

180 - x, 180 - 140 and 180 - 110

The sum of these angles is 180

So, we have

180 - x + 180 - 140 + 180 - 110 = 180

Evaluate

x = 110

Hence, the value of x is 110 degrees