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3 years ago

What is tanA? A. 15/17 B. 8/17 C. 8/15 D. 15/8

Mathematics

2 answers:

musickatia [10]3 years ago

8 0

Answer:

D. 15/8

Step-by-step explanation:

In the diagram above, using trig ratio;

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite / adjacent

But you need to know how to identify all the side;

In this case, since our major concern is angle A, that is; since we are to find tan of angle A, then this makes AC to become our adjacent, BC to be our opposite and AC will always be the hypotenuse regardless of whether we are to solve for angle A or angle B. But of course, if we are to solve for angle A the adjacent will not be AC anymore, it will definitely change.

But since we are solving for angle A;

adjacent = AC =8

opposite = BC = 15

Applying our trig. formula;

tanФ = opposite / adjacent

tan A = 15/8

Hoochie [10]3 years ago

4 0

Tangent(Angle) = Opposite / adjacent

Tangent(A) = 15 / 8

The answer is D. 15/8

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3 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

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3 years ago

I need the answer for part b

Softa [21]

Answer:

4/4

Step-by-step explanation:

1/4 plus 1/4 plus 2/4 is 4/4

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3 years ago

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The answer is x=-80.

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Multiply 8 on both sides to isolate x.

-10·8= $\frac{x}{8*8}$

-80=x

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3 years ago