(5) to the 7 over 3 power

Mathematics

1 answer:

Maksim231197 [3]2 years ago

4 0

$5^{7/3} = 42.75$ (approximately)

using the formula $x^{a/b}=\sqrt[b]{x^a}$ we can solve the problem

so we rewrite it as $\sqrt[3]{5^7}$ and get ~42.75

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svp [43]

The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.

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3 years ago

What is one possible solution for the triangle below?

elixir [45]

Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

$\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}$

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

$\frac{sinZ}{43} = \frac{sin68}{40}$

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°

3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

$\frac{x}{sin(26.64)} = \frac{40}{sin(68)}$

From which: x = 40 × sin(26.64°) / sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

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3 years ago

Read 2 more answers

You are planning a survey of starting salaries for recent business major graduates from your college. From a pilot study you est

xxTIMURxx [149]

Answer:

1245

Step-by-step explanation:

-Given the standard deviation is $9000 and the margin of error is $500.

-the minimum sample size at a 95% confidence level can be calculated using the formula:

$n\geq( \frac{z\sigma}{MOE})^2\\\\\\\geq (\frac{1.96\times 9000}{500})^2\\\\\\\geq 1244.6784\approx 1245$