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IRISSAK [1]
2 years ago
12

Look at the two circles below. They share a center point. The larger circlehas a radius of 10 inches. The distance between the s

maller circle and the larger circle is 2 inches. Which best represents the shaded area between the two circles?
A138 square inches
138 square inches

B36 square inches
36 square inches

C515 square inches
515 square inches

D314 square inches
314 square inches
Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0
B is the answer to the question
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Factor completely, then place the answer in the proper location on the grid. <br> 6х^2 - 3х - 30
Tems11 [23]

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

7 0
3 years ago
Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m
Dimas [21]

Answer:

  A.  $3,984

Step-by-step explanation:

The amount of interest is computed from ...

  I = Prt

For the given values, the interest is ...

 I = $3600×0.08×(16/12) = $384

Then the total amount that needs to be repaid is ...

  Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

8 0
2 years ago
How many solutions does the equation 9(x – 3) = 9x – 27 have?
jarptica [38.1K]

Answer:2

Step-by-step explanation:

4 0
2 years ago
An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30o angle. To
melamori03 [73]

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

sin(theta)=\frac{opposite}{hypotenuse}

sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\

a person travel 50 ft from the bottom to the top of the escalator

6 0
2 years ago
Someone please i need help on my geometry homework !!!!
saveliy_v [14]

Answer:

x= 9

Step-by-step explanation:

13x+2+3x-4+5x-7=180

21x-9=180

21x=189

x=9

3 0
2 years ago
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