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Lerok [7]
3 years ago
14

To the nearest hundredth, what is the value of x? 42.15 43.11 52.07 54.26

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

52.07

Step-by-step explanation:

sin of an angle is the opposite side over the hypotenuse

sin 51 = x/67

Multiply each side by 67

67 sin 51 = x

52.06877942 =x

Rounding to the nearest hundredth

52.07 =x

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Blizzard [7]
Half the distance of AC (6)
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3 years ago
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David can proofread 15 reports in an hour, while Armando can proofread 37 reports in an hour. If they have 400 reports to proofr
Goshia [24]

In order to know how much time will David and Armando take, you need to write down the given and solve them with the given solution.

David – 15 reports

Armando – 37 reports

Total Reports = 52 reports in total

Total Reports in an hour = 52

Overall total reports = 400

Time to finish = ?

If you try to evaluate, if you have 50 reports in an hour with a total of 400 reports, you could have gain 8 hours by doing the reports.

So to expand more, 52 reports will be divided into 400, giving a total of 7.6

<span>So the answer is that they will take 7 hours and a half in doing the reports.</span>

6 0
3 years ago
Select all expressions equivalent to 162x^2 – 72.
Lana71 [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
Reduced form of 2ab^2-a^2 b^2/5
Ket [755]

Answer:

2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}

Step-by-step explanation:

Given the expression

2ab^2-\frac{a^2b^2}{5}

\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}

2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

                 =\frac{2ab^2\cdot \:5-a^2b^2}{5}

                 =\frac{10ab^2-a^2b^2}{5}

Thus,

2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}

7 0
3 years ago
(-11x+31y) - 2(-x + 5y)
Cerrena [4.2K]

<u>Answer:</u>

Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y Hence option C is correct

<u>Solution:</u>

Given expression is (-11x+31y) - 2(-x + 5y)

Need to find equivalent expression from four given option.

Let’s first simplify the given expression

(-11x+31y) - 2(-x + 5y)

On opening the brackets we get

-11x + 31y + 2x -10y

Now bringing similar terms together and performing appropriate operation, we get

-11x + 2x + 31y + -10y

Taking common terms out we get,

=> (-11 + 2) x + (31 -10) y

= -9x +21y

Therefore Equivalent expression of (-11x+31y) - 2(-x + 5y) is -9x +21y.

5 0
3 years ago
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