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°.
Answer:
i think 120
Step-by-step explanation:
1 = Hundred tens of thousandths.
0 = tens of thousandths.
6 = thousandths.
5 = hundredths.
3 = tenths.
4 = units.
At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.
<h3>What exactly is simplification?</h3>
Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,
The time will it be after they each have worked 4 shifts;
8 PM + 8 hour =4 AM
4 AM + 8 hour = 12 PM
12 PM+ 8 hour =8 PM
8 PM + 8 hour = 4 PM
Hence, option E is correct.
They will each have worked four shifts by the time it is 8 PM.
To learn more about the simplification, refer to:
brainly.com/question/23509407
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