No, they are not equivalent. The numerators are equals, but the denominators are not, they are not equivalent. If the first one would be 6/8, they would be equivalent, because we can simplify the fractions by 2 and we got 3/4 again. Good luck !
Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
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<em>Additional comment</em>
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.
Answer:
2x = 5
Step-by-step explanation:
Find the invers of f(x)
f(x) = 2x - 6
y = 2x - 6
y + 6 = 2x
2x = y + 6
x = (y + 6)/2
f⁻¹(x) = (x + 6)/2
Solve f⁻¹(x) for x = 2
Subtitute x with 2
f⁻¹(x) = (x + 6)/2
f⁻¹(x) = (2 + 6)/2
f⁻¹(x) = 8/2
f⁻¹(x) = 4
The answer is 4
Answer:
B. x=7
Step-by-step explanation:
(2x+5) = (x+12)
2x = x+7
x=7