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3 years ago

The circumference of a circle is 13π m. What is the area, in square meters? Express your answer in terms of π π.

Mathematics

2 answers:

Nuetrik [128]3 years ago

7 0

Answer:

42.25π

Step-by-step explanation:

The circumference is the diameter times pi.

This means that 13π/π=13 (the diameter)

The radius is diameter/2, so it is 13/2 which is 6.5

The area is the radius squared times pi

6.5^2 = 42.25

42.25π is the area

Deffense [45]3 years ago

4 0

Answer:

13×(22/7)whole square

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2 years ago

A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons

hammer [34]

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe = 6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x = 7200 - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800 so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

3 0

3 years ago

if twice the opposite of a number us increased by 5, the result is the opposite of the number. What is the number?

Likurg_2 [28]

Answer:

If twice the opposite of a number increased by five, then the result is the opposite of a number.

The asiest way to solve this is the guess and check method. It is asking you what a number doubled then by adding five is the opposite of that number. Now go through a few SINGLE digit numbers to try and solve. I hope this helps.

6 0

2 years ago

Solve the equations

ASHA 777 [7]

Answer:

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

$x = \frac{-36}{4}$

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

$x = \frac{65}{5}$

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

$x = \frac{44}{4}$

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

$x = \frac{-30}{2}$

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

$\frac{1}{2}(4x-10)+5=x-11$

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

$x = \frac{-22}{2}$

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

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2 years ago