Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
The number of <span>possible combinations can be calculated by formula
.
</span>
<span>There are eight different concert dates that Jen could attend, then n=8.
</span>
Jen <span>can only afford to see three shows, then k=3
</span>
and<span>
</span>
<span /><span /><span>
</span><span />
<span>Answer: 56 possible combinations.</span>
Answer:
A. a little more than 1/4 of the students prefer video games
B. I think the most reasonable prediction is 25
Answer:
47
Step-by-step explanation:
2 to the 3rd power is 8. 5x8=40, and 40 +7 =47.
