Answer:
(For the first two questions I do believe that you will need a protractor to calculate the angles.)
15) 
measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)
The first image attached shows where the angle should be located.
16) 
is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))
17) 350° is 
or 6.11 (the answer depends on the format the professor wants.)
18) 240° is 
radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)
Answer:
9
Step-by-step explanation:
(-9)^1/3 * (-81)^1/3
We can rewrite -81 as 9 * -9
So it can be rewritten as:
(-9)^1/3 * (9*-9)^1/3
Since they are all raised to the 1/3, we can combine the bases:
(-9*9*-9)^1/3 =
(9*9*9)^1/3, because the two negatives turn into a positive:
So this is basically:
(9^3)^1/3 = 9^1 = 9
Answer: 907.92 ft²
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:
Where r is the radius of the circle.
2. You know the radius of the circle B, therefore, when you susbtitute it into the formula, you obtain that the area of the circle B is:
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
_____
<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
