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3 years ago

14

A rectangle has an area of 204.8 square inches and a height of 16 inches. What is the length of the base?

1 answer:

Vlada [557]3 years ago

3 0

The length of the base of the rectangle is 12.8 inches.

Here's an explanation:

The problem has stated that the area of the rectangle is 204.8 square inches, and that the height of the rectangle is 16 inches. The equation for finding the area of a rectangle is height *length = area. If you insert the values that we know, then the equation becomes 16*length = 204.8. We can alter the equation, and we can isolate the variable by dividing each side by 16. The equation then becomes length=204.8/16. 204.8/16 is equal to 12.8 inches, and that is the length of the rectangle.

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What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor

bulgar [2K]

Answer:

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

Step-by-step explanation:

Given

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

Required

Fill in the gaps

Going by the given parameters, we have that

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

$x^2 - 9x + 8$ , when factorized is $(x-1)(x-8)$

Hence; the expression becomes

$\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}$

Combine Fractions

$\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}$

Simplify the denominators

$4x + 2 = A + B$

By direct comparison

$A = 4x$

$B = 2$

Hence, the complete expression is

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

3 0

3 years ago

Read 2 more answers

Help please. no clue what I'm doing

Ugo [173]

Answer:

Option second!!!!!!!

4 0

3 years ago

A bricklayer is able to set 2.5 bricks in one minute. How many bricks can he set in 8 hours?

pochemuha

Given:

A bricklayer is able to set 2.5 bricks in one minute.

Required:

To find the number of bricks can he set in 8 hours.

Explanation:

8 hours =480 minutes.

2.5 bricks in one minute.

So for 480 minutes,

$\begin{gathered} =2.5\times480 \\ \\ =1200 \end{gathered}$

Final Answer:

1,200 bricks can he set in 8 hours.

5 0

1 year ago

Please help! I will mark brainliest if correct!

Sergeeva-Olga [200]

There is no solution so C.

4 0

3 years ago

Solve the system of equation 8x+5y=24<br> y=-4x

Natasha_Volkova [10]

Answer:

x=-2, y=8. (-2, 8).

Step-by-step explanation:

8x+5y=24

y=-4x

----------------

8x+5(-4x)=24

8x-20x=24

-12x=24

x=24/-12

x=-2

y=-4(-2)=8

8 0

3 years ago

Read 2 more answers