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3 years ago

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You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions

of the walkway are x. Write a polynomial that expresses the area of the swimming pool.

1 answer:

vredina [299]3 years ago

8 0

Answer:

$A = 4x^2 + 86x + 450$

Step-by-step explanation:

Given

$Walkway = x$

$Length = 18$

$Width = 25$

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

$L = 18 + x + x$

$L = 18 + 2x$

The total width (W) will be:

$W = 25 + x + x$

$W = 25 + 2x$

The area (A) is:

$A = L * W$

$A = (18 + 2x) * (25 + 2x)$

Expand bracket

$A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x$

$A = 450 + 36x + 50x + 4x^2$

$A = 450 + 86x + 4x^2$

Reorder

$A = 4x^2 + 86x + 450$

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Kramer Fabrications stockholders' equity at the beginning of July 2017 was $600,000. During the month, the company earned net in

Ymorist [56]

Answer:

$720,000

Step-by-step explanation:

As per the question,

Kramer Fabrications stockholders' equity at the beginning of July 2017

Stockholders' equity = $600,000

Net income earned = $145,000

Dividends paid = $25,000

Stockholders' equity at the end of of July 2017

= Net income - Dividend + Stockholders’ Equity

= $145,000 - $25,000 + $600,000

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Therefore,

The amount of stockholders' equity at the end of of July 2017 = $720,000.

4 0

4 years ago

The area of a rectangle is 12.65 m^2. the length measures 5.5 m. what is the width of the rectangle?

Nat2105 [25]

Answer:

The width of the rectangle is 2.3 m

Step-by-step explanation:

Now, when we are asked to find the area of the rectangle, we will use the formula: $Area= length * width$ . We should be given with at least two values, and then we can use the above formula and can find the third variable.

Now, we are given that the area of a rectangle is 12.65 $m^2$ and the length measures 5.5 m

So the width is given as:

$Area= length * width\\\Rightarrow 12.56= 5.5 * width\\\Rightarrow width= \frac{12.56}{5.5}\\\Rightarrow width=2.3 ~m$

So this is the required with of the rectangle.

4 0

4 years ago

Read 2 more answers

PLEASE HELP THANKS :)

olga55 [171]

Answer: 15
Explanation: quick maths in the brain

5 0

3 years ago

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

7 0

3 years ago

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Marat540 [252]

So another way to look at is 7x6=__ and so when you do this you get 42. Hope this is helpful.

6 0

4 years ago