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stiv31 [10]
3 years ago
5

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer: x=10.25

Step-by-step explanation:

8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25

You might be interested in
Calculate gross pay for 42 hours worked at $8.00 per hour.
ololo11 [35]

Answer:

$336

Step-by-step explanation:

Gross Pay is pay before taxes. We get that by multiplying number of hours worked with hourly rate.

Net Pay is the gross pay LESS taxes. We get that by subtracting the tax from gross pay.

Here, we just need gross pay. We have:

Hourly Rate = 8

Hours Worked = 42

Gross Pay = Hourly Rate * Hours Worked = 8 * 42 = 336

Hence, Gross Pay = $336

6 0
3 years ago
Andrew solved the following inequality, and his work is shown below:
Nana76 [90]

Answer:

<h2>2.) When dividing by −2, he did not change the direction of the sign. </h2>

Step-by-step explanation:

-4(x + 8) ≤ -2x + 50         <em>use the distributive property: a(b + c) = ab + ac</em>

-4x - 32 ≤ -2x + 50       <em>add 2x to both sides</em>

-4x + 2x - 32 ≤ -2x + 2x + 50

-2x - 32 ≤ 50          <em>add 32 to both sides</em>

-2x - 32 + 32 ≤ +50 + 32

-2x ≤ 82         <em>divide both sides by (-2) / </em><em>flip the inequality sign</em><em>/</em>

x ≥ -41

Andrew's mistake:

2.) When dividing by −2, he did not change the direction of the sign.

8 0
3 years ago
Please help i dont know
brilliants [131]

Answer:

a/4x-3

Step-by-step explanation:

4 'x' box means: 4x, 3 '-' box means: -3

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20The%20value%20of%20%7D%20%5Clim%20_%7Bn%20
12345 [234]

You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write

\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}

7 0
2 years ago
Help please and thank you!
Usimov [2.4K]

Answer:

Option A

Explanation:

\rightarrow \sf sin\left(\dfrac{7\pi }{6}\right)

\rightarrow \sf \sin \left(\pi +\dfrac{\pi }{6}\right)

\rightarrow \sin \left(\pi \right)\cos \left(\dfrac{\pi }{6}\right)+\cos \left(\pi \right)\sin \left(\dfrac{\pi }{6}\right)

\rightarrow \sf 0 *  \dfrac{\sqrt{3}}{2}+\left(-1\right) * \dfrac{1}{2}

\rightarrow \sf -\dfrac{1}{2}

7 0
2 years ago
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