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2 years ago

Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

5 0

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

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Solve inequality for x -4(2x+4)>8x+64

Mkey [24]

Answer:

x< - $\frac{16}{3}$

Step-by-step explanation:

x 8x_16>8x+64

Add similar elemants:x - 8x= -7x

-7x - 16 > 8x + 64

Add 16 to both sides

-7x- 16 + 16 > 8x + 64 + 16

Simplify

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Subtract 8x from both sides

-7x - 8x > 8x + 80 - 8x

Simplify

-15x > 80

Multiply both sides by - 1 ( reverse the inequality)

(-15x) ( - 1) < 80 ( - 1 )

simplify

$\frac{15x}{15} < \frac{-80}{15}$

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expeople1 [14]

Answer:

Step-by-step explanation:

we know that

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In this problem

$m\angle ACF=m\angle FCD$ ---> given problem

$m\angle ACD=m\angle ACF+m\angle FCD$ ---> by addition angle postulate

CF is an angle bisector of angle $m\angle ACD$

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Consider independent simple random samples that are taken to test the difference between the means of two populations. The varia

Arturiano [62]

Answer:

d. t distribution with df = 80

Step-by-step explanation:

Assuming this problem:

Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:

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b. t distribution with df = 81.

c. t distribution with df = 41.

d. t distribution with df = 80

Solution to the problem

When we have two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$