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miss Akunina [59]
3 years ago
8

Find the area of each sector. Use exact answers

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

B) 54π in²

Step-by-step explanation:

area of full circle = πr² = 81π in²

area of 4π/3 segment = (81)(4π/3)/2π = 54π in²

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The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 sea
Mashcka [7]
A unicycle has 1 wheel. u unicycles have u wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

In u unicycles and b bicycles, there are a total of
u + 2b wheels.

We are told there are 28 wheels, so u + 2b must equal 28.

The answer is choice C. u + 2b = 28
8 0
3 years ago
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Which expression shows the result of applying the distributive property to 3(1/5 x - 1/7)
steposvetlana [31]

Answer:

o.6x- 0.42857142857

Step-by-step explanation:

7 0
2 years ago
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one
wel

Answer:

Amanda > Todd > Derrick

Step-by-step explanation:

Amanda's IQR- 3.5

Derrick's IQR- 2

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4 0
2 years ago
A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

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The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
A bus company changes a fixed amount plus a fee based on the distance traveled what is the fixed amount x =0,1,2 and y is 4,9,14
Rus_ich [418]

Answer:

$4

Step-by-step explanation:

Because with no distance traveled, the fixed amount charged would be $4. For every mile traveled, there is an additional $5. So your correct answer is $4.

8 0
3 years ago
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