Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
The answer is 2 all you have to do is go to any point and do rise over run it rose 2 times and ran only once so it would be 2/1 which equals 2
Answer:
n = -9
Step-by-step explanation:
4(0.5n − 3) = n − <u>0.25(12 − 8n)</u>
2n - 12 = n - <u>3 + 2n</u>
2n - 12 = 3n - 3
2n - 3n = - 3 +12
-1n = 9
n = -9
Answer:
The correct option is Option A: Yes, that is the correct step
Step-by-step explanation:
Wane was asked to solve the inequality 
He decides that he needs to multiply both sides by 3.
We need to tell if the step is correct?
So, solving the inequality
We need to multiply both sides by 3, to get value of x i.e.
So, Wanes step is correct.
The correct option is Option A: Yes, that is the correct step
Answer:
y = (√3)/2
Step-by-step explanation:
The unit circle has equation ...
x^2 +y^2 = 1
For x = 1/2, the value of y can be found to be ...
(1/2)^2 +y^2 = 1
y^2 = 1 - 1/4 = 3/4 . . . . . subtract 1/4
y = √(3/4) . . . . . . . . . . take the square root (y > 0 here)
y = (√3)/2
