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yawa3891 [41]
3 years ago
8

3 parts: List the ratios for using angle A as the angle of reference reduce when necessary

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

Step-by-step explanation:

The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to \sin{A}, is 21/29.

<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So \cos{A}=\sin{C}=20/29. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.

The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here, \tan{A}=21/20. So, our trig ratios for this angle are

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

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Factor the GCF: 12a^3b + 8a^2b^2 — 20 ab^3
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Answer:

GCF is 4ab

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Step-by-step explanation:

Factor the GCF :

12a^3b + 8a^2b^2-20 ab^3

We need to find the common terms that are common in each of the term given above

12,8 and 2 are all divisible by 4

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Read 2 more answers
The following hypotheses are given. H0 : π ≤ 0.70 H1 : π &gt; 0.70 A sample of 100 observations revealed that p = 0.75. At the 0
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Answer:

The null hypothesis can't be rejected.

Step-by-step explanation:

Given information:

Null hypothesis:

H₀ : π ≤ 0.70

Alternative hypothesis:

H₁ : π > 0.70

We need to check whether the null hypothesis is rejected or accepted.

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If P-value ≥ α, then we accept the null hypothesis H₀.

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