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zalisa [80]
3 years ago
9

Question is 15 points

Mathematics
2 answers:
Korvikt [17]3 years ago
4 0
I think the answer is B
algol133 years ago
4 0

I'm assuming 0.766 is just sin 58.

sin of an angle is the opposite measure divided by the hypotenuse.

sin 58 = x/12, your second option

To keep going and solve, you would multiply both sides by 12 to isolate the variable x and cancel out 12 on the right side, leaving you with x = 12(sin 58)

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3 0
3 years ago
It’s worth 10 points if you answer!
Maksim231197 [3]

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°.

8 0
3 years ago
There are 8 ducks swimming in a pond. If 6 have green wings and 2 have blue wings, what fraction of the ducks have blue wings?
harina [27]

Total ducks = 8

blue winged ducks =2

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You buy four packages of shoelaces. You pay with a $10 bill and receive $3.24 in change. Determine the price of each package.
Mnenie [13.5K]
I think each package would be $1.69. first you subtract 3.24 from 10 to get what you payed then divide that by 4 to get 1.69
8 0
3 years ago
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