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kodGreya [7K]
3 years ago
8

The length of a rectangular pool is 50 yards, and the width of the pool is 16 yards. What is the approximate length of the diago

nal of the pool
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

52.5

Step-by-step explanation:

You would use the Pythagorean theorem to solve this. Using the formula,

a^2 + b^2 = ^2

You would have an equation of 50^2 + 16^2 = c ^2.

50^2 is 2500, and 16^2 is 256.

There, you have 2500+256 = c^2

add those together, and you have 2756.

Now, you have to find the square root of 2756 (to solve 2756 = c^2)

which leaves you with 52.4976189936 . Rounded to the nearest tenth, you end up with 52.5.

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Rewrite using exponential notation \root(6)((4\pi )^(3))
Nezavi [6.7K]

~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}

5 0
2 years ago
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
4 years ago
What is –36° converted to radians?
Stells [14]

let's recall that there are 180° in π radians, thus


\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ -36&x \end{array}\implies \cfrac{180}{-36}=\cfrac{\pi }{x}\implies -5=\cfrac{\pi }{x}\implies x=\cfrac{\pi }{-5}\implies x=-\cfrac{\pi }{5}

4 0
4 years ago
Joe ate 1/3 of a pizza and jane ate 1/5 of the pizza. How much of the pizza was eaten
NikAS [45]

Answer:

7/15

Step-by-step explanation:

If we're seeing how much pizza they both ate, we would add them together.

\frac{1}{3}+\frac{1}{5}

Find the common denominator

\frac{5}{15}+ \frac{3}{15}

add

\frac{7}{15}

7/15 of the pizza was eaten

5 0
3 years ago
I need help finding y
kolezko [41]

to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:

{t}^{3}

on the right side.

Subtracting 3, and we have successfully isolated y.

It would be impossible to get a quantitative value for y if we don't know the value of t.

4 0
3 years ago
Read 2 more answers
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