Answer:
78.10 cm^2
Step-by-step explanation:
The area of the shaded region is the area of the rectangle subtracted from the area of the circle.
area of circle = (pi)r^2
area of rectangle = LW
shaded area = area of circle - area of rectangle
shaded area = (pi)r^2 - LW
shaded area = (pi)r^2 - LW
shaded area = (3.14159)(6 cm)^2 - (7 cm)(5 cm)
shaded area = (3.14159)(36 cm^) - 35 cm^2
shaded area = 113.097 cm^2 35 cm^2
shaded area = 78.097 cm^2
Answer: 78.10 cm^2
Answer: the answer is 20
Step-by-step explanation:
Use order of operations and divide 8 by 2 and you get 4. Then use the PEMDAS (parentheses,exponents,multiplacation,division,addition, subtraction) method. Go left to right. And solve. :) I hope this helps
Answer:
x=8.
Step-by-step explanation:
x+(-13)=-5 makes x =8.
reason:
(-13)+??=-5.
-5+8=-13
therefore x=8
Answer:
x = 23
y = 7
z = 11
Step-by-step explanation:
Since ∆PRS ≅ ∆CFH, therefore,
m<R = m<F
13y - 1 = 90° (substitution)
Add 1 to both sides
13y - 1 + 1 = 90 + 1
13y = 91
Divide both sides by 13
13y/13 = 91/13
y = 7
Since ∆PRS ≅ ∆CFH, therefore,
PS = CH
2x - 7 = 39 (substitution)
Add 7 to both sides
2x - 7 + 7 = 39 + 7
2x = 46
Divide both sides by 2
2x/2 = 46/2
x = 23
Since ∆PRS ≅ ∆CFH, therefore,
m<S = m<H
Find m<S
m<S = 180 - (m<P + m<R) (sum of ∆)
m<S = 180 - (28 + (13y - 1)) (substitution)
Plug in the value of y
m<S = 180 - (28 + (13)(7) - 1))
m<S = 180 - (28 + 91 - 1)
m<S = 180 - 118
m<S = 62°
Therefore, since m<S = m<H,
62° = 6z - 4 (substitution)
Add 4 to both sides
62 + 4 = 6z - 4 + 4
66 = 6z
Divide both sides by 6
66/6 = 6z/6
11 = z
