Answer:
shaded area = 8.7 ft²
Step-by-step explanation:
area of circle = πr² = (3.14)(4²) = 50.24 ft²
apothem of hexagon = (sin 60° x 4) = 3.464
area of hexagon = 1/2(3.464)(6)(4) = 41.56 ft²
50.24 - 41.56 = 8.68 ft²
a. Recall that
For , we have
By integrating both sides, we get
If , then
so that
We can shift the index to simplify the sum slightly.
b. The power series for can be obtained simply by multiplying both sides of the series above by .
c. We have
We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º
B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A
We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100
Answer: The measurement of angle A is 100º.
Answer:
-4 i think
Step-by-step explanation:
divide -12 by 3 to get -4
Answer:
11. your choices are correct
12. 132°
Step-by-step explanation:
11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.
A: y = 2x -8 . . . . . slope = 2, an answer
B: y = -2x +1 . . . . . slope = -2, not an answer
C: y = -2x +7 . . . . .slope = -2, not an answer
D: y = 2x +2 . . . . . slope = 2, an answer
E: y = -2x -9 . . . . . slope = -2, not an answer
__
12. The marked angles are supplementary, so ...
(3x -6)° +(x +2)° = 180°
4x -4 = 180 . . . . . . . . . . . divide by °, collect terms
x -1 = 45 . . . . . . . divide by 4
x = 46 . . . . . . . . . add 1
Now, we can find the angle of interest.
∠PQR = (3x -6)° = (3·46 -6)°
∠PQR = 132°
