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pentagon [3]
3 years ago
7

A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x

+1200 square feet. What are the dimensions of the pool?
a. 100 ft by 60 ft c. 55 ft by 70 ft
b. 30 ft by 40 ft d. 15 ft by 80 ft
...?
Mathematics
1 answer:
Archy [21]3 years ago
8 0
So when X is 0, the area of the pool is 1200. That makes A and C impossible... then you can plug in numbers...say the boardwalk is 1 ft wide, add 2 to each dimension and plug in 1 for X. (You're adding 2 because there is a tile on either side of each dimension, including corners).

32x42=1344=4+140+1200

Therefore the answer is B.
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nirvana33 [79]

Answer:

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Step-by-step explanation:

Your budget requires ...

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The maximum price tag is $30.57.

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3 years ago
What would be the solution to this Pythagorean/Trigonometric equation? (csc² A - 1) sen² A = cos² A
Anna007 [38]

Answer:

(csc^2 A -1) sin^2 A = cos^2 A

We know that csc x= \frac{1}{sin x} and using this identity we have:

\frac{sin^2 A}{sin^2 A} - sin^2 A = cos^2 A

1 = cos^2 A + sin^2 A

And if we remember the equation above represent the fundamental identity in trigonometry and is satisfied for every real number and we can say that the solution for this case is:

A= [X | x \in R]

Step-by-step explanation:

For this case we have the following equation given:

(csc^2 A -1) sin^2 A = cos^2 A

We know that csc x= \frac{1}{sin x} and using this identity we have:

\frac{sin^2 A}{sin^2 A} - sin^2 A = cos^2 A

1 = cos^2 A + sin^2 A

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A= [X | x \in R]

8 0
4 years ago
Which of the following rational numbers is equal to 4.2 never ending
8090 [49]
Hey!

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8 0
4 years ago
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vovangra [49]

The new price of stock of Widget industries is 43 \frac{7}{8}

<u>Solution:</u>

Given that, Widget Industries had stock that sold at 36\frac{5}{8} points.  

The stock rose 7\frac{1}{4} points.  

We have find what is the new price of the stock ?

Now, we know that, new price of the stock will be combination of sold value of the stock and the new rise of points to the stock  

Then, new price of the stock = sold price of stock + rise in points

\text { New price of stock }=36 \frac{5}{8}+7 \frac{1}{4}

Converting the mixed fractions, we get

\begin{array}{l}{=\frac{38 \times 8+5}{8}+\frac{7 \times 4+1}{4}} \\\\ {=\frac{293}{8}+\frac{29}{4}=\frac{293}{8}+\frac{58}{8}=\frac{293+58}{8}=\frac{351}{8}=\frac{344+7}{8}=43 \frac{7}{8}}\end{array}

Hence, the new price of the stock is 43 \frac{7}{8}

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0.31, 0.35, 0.38, 0.425, 0.8, 32.5 from least to greatest
weeeeeb [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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