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musickatia [10]
3 years ago
10

What is the area of the shaded region of the circle?

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.

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Simplify 4(x+7) - 7x+ 2.<br> A. 11x+9<br> B. 11x+30<br> C. -3x+30<br> D. -3x+9
Tanya [424]

Answer:

The answer is B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. What is the value of the car after th
Sliva [168]
A reduction of 15% per year means 100-15=85% reducing factor.
1st year: 0.85×18000=$15300.
2nd year: 0.85×15300=$13005.
3rd year: 0.85×13005=$11054.25.
So after 3 years the value of the car is $11054.25 or $11054 to the nearest dollar.
6 0
3 years ago
A3-b3=(a-b)(a2+an+b2) 64x6-27
olga nikolaevna [1]
<span>a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³, 
x⁶ = (x²)³
27 = 3³

</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³.  Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) =  (4x² -3)(16x⁴ +12x² + 9) 
<span>
Answer: </span>64x⁶ - 27=  (4x² -3)(16x⁴ +12x² + 9) <span>

</span>
4 0
3 years ago
A batch of 20 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 10 of the chips do not conform to custome
Hatshy [7]

Answer:

A batch of 20 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 10 of the chips do not conform to customer requirements.

a) Number of different samples = 20C3 =  \frac{20!}{3!(17!)} =1140

b) 2 good and one bad chip

Number of samples = 10C2 * 10C1 = 45 * 10 =450

c) 2 good 1 bad + 1 good 2 bad + 3 bad

Number of samples = 10C2 * 10C1 + 10C1 * 10C2 + 10C3

= 450+450+120=1020

6 0
3 years ago
A right triangle has a hypotenuse of 70 feet and a leg of 35 feet. What is the length of the other leg? Select one:
saveliy_v [14]
H = 70ft.
P = 35ft.
B = ?

H^2 = P^2 + B^2
70×70 = (35×35) + B^2
B^2 = 4900-1225
B = √3675
B = 35√3 ft.
3 0
3 years ago
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