What is the measure of angle x?
1 answer:
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Answer:
Step-by-step explanation:
The area of a sector in terms of radians as opposed to degrees is
Filling in the formula accordingly gives us
The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with
A = 1.75(2) so
A = 3.5 units squared
Hello again! So we will be using the pythagorean theorem (
) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract
from 31. And since there are 2 triangles, you'll need to multiply by 2.
In short, x = 14.0
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
Nextly, we will need to subtract
In short, x = 14.0