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Bingel [31]
3 years ago
11

A circle has a sector with area 64/5 pi

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

The area of the circle is 16\pi\ units^2

Step-by-step explanation:

we know that

The area of complete circle subtends a central angle of 2pi radians

so

using proportion

Find the area of the circle

\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2

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Solve each system by substitution.<br> y=-4x-9 y=3x+19
Alekssandra [29.7K]

Answer:

x=-4, y=7

Step-by-step explanation:

According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.

y = 3x + 19

-4x - 9 = 3x + 19

Add 9 to both sides

-4x = 3x + 28

Subtract 3x

-7x = 28

Divide by -7

x = -4

Plugging this into the equation, we have:

y = -4x - 9

y = -4(-4) - 9

y = 16 - 9

y = 7

5 0
2 years ago
Find the distance between the points (1,3) and (5,0).
Irina18 [472]

distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2

I.e,[{5-1)^2+(0-3)^2]^1/2

[16+9]^1/2

[25]^1/2

5

5 0
3 years ago
Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee
Brilliant_brown [7]

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

4 0
3 years ago
What are the x and y intercepts of 3y=2x-6
sasho [114]
How to find the x intercept of 3y=2x-6: (when y is 0)

3(0) = 2x - 6

     0 = 2x - 6
   +6        + 6
-------------------------
     6 = 2x
  ------ -----
     2     2
      
     x = 3


How to find the y intercept of 3y=2x-6: (when x  is 0)

 3y = 2(0) - 6

 y = 0 - 6

  3y = -6
------  -----
   3      3

   y = -2















8 0
3 years ago
Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?
I am Lyosha [343]

Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

7 0
3 years ago
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