Mathematics, 22.03.2020 03:58 tiffg3140

The degree measure of an angle in a right triangle is x, and sin x = 1/3 . Which of these expressions are also equal to 1/3 ? Select all that apply. A) cos(x) b) cos(x - 45°) c) cos(45° - x) d) cos (60° - x ) e) cos(90° - x)

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Answer from: lizdeleon248

The expression that should be equivalent to one-third is cos(90° - x).

Given that,

The degree measure of an angle in a right triangle is x.And sin x = one-third.

Based on the above information, the following information should be considered:

In the case when the two angles are considered complementary so the co-function identified and stated that sine of one should be equivalent to the cosine of the other.

Based on this, the complementary angle of angle x should be equivalent to (90-x) degrees

Therefore we can conclude that the expression that should be equivalent to one-third is cos(90° - x).

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Answer from: Gabejenedu

e) cos(90° - x)

Step-by-step explanation:

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

The complementary angle of angle x is equal to (90-x) degrees

therefore

sin(x^o)=cos(90-x)^o

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

Answer from: Quest

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote

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The degree measure of an angle in a right triangle is x, and sin x = 1/3 . Which of these expression...

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