<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
Answer:
2π feet
Step-by-step explanation:
9:30 PM to 1:30 AM is 4 hours.
It is 1/3 of a complete revolution.
A full 12 hours would be 2×r×π=2×3×π
1/3 of that is:
1/3×2×3×π=2π
≈6.283185307 feet
Answer:
178° 35'
Step-by-step explanation:
∠ACB and ∠ACD are supplementary, so they add up to 180°.
First, convert to degrees (there are 60 minutes in a degree).
∠ACB = 1°25' = 1° + (25/60)° = 1.4167°
Now find the supplementary:
∠ACD = 180° − 1.4167°
∠ACD = 178.5833°
∠ACD = 178° 35'
Answer:
If I have x cars and sell 12 how many cars do I have left.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.
6x+3y=6(6)+3(-1)=36-3=33
Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.
