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nataly862011 [7]
3 years ago
12

Find the circumference of the circle below use 3.14 for

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer:

31.4

Step-by-step explanation:

R= 5

2 x 3.14 x 5= 31.4

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The equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is
nydimaria [60]
The equation of a circle:
(x-h)^2+(y-k)^2=r^2
(h,k) - the coordinates of the center
r - the radius

The center is the midpoint of the diameter.
(-3,1) \\
x_1=-3 \\ y_1=1 \\ \\
(5,7) \\
x_2=5 \\ y_2=7 \\ \\
\hbox{the midpoint: } (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\
\frac{x_1+x_2}{2}=\frac{-3+5}{2}=\frac{2}{2}=1 \\
\frac{y_1_y_2}{2}=\frac{1+7}{2}=\frac{8}{2}=4 \\
\Downarrow \\
(1,4) \\ h=1 \\ k=4

The radius is half the diameter, or the distance from one of the endpoints to the center.
r=\sqrt{(x_1-h)^2+(y_1-k)^2}=\sqrt{(-3-1)^2+(1-4)^2}=\\
=\sqrt{(-4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5 \\ \Downarrow \\
r^2=5^2=25

The equation of the circle:
\boxed{(x-1)^2+(y-4)^2=25}
8 0
3 years ago
Read 2 more answers
What’s equal to 2/32
Vilka [71]

Answer:

1 / 16

Step-by-step explanation:

Divide each term by 2.

2 / 2 = 1

32 / 2 = 16.

1 / 16 = 2 / 32

5 0
4 years ago
I need help fast!!!!!!!!
erica [24]

Answer:

first one is 65 second one 75 third one 25

Step-by-step explanation:

5 0
3 years ago
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Solve each system by substitution​
xeze [42]

Answer:

x=2,y=5

Step-by-step explanation:

y=8x-11 ----(1)

y=-7x+19----(2)

Replace (1) in (2)

8x-11 =-7x+19

8x+7x=19+11

15x =30

x =30÷2

x =2

If x=2,then replace x=2 in (1)

y=8(2)-11

y=16-11

y=5

8 0
3 years ago
5/12 gallon, to travel 12 1/2 miles.
polet [3.4K]

Answer:

A car is more fuel efficient and it goes 30 miles per gallon (5/12 gallon to travel 12 1/2 miles)

Step-by-step explanation:

A car : 5/12 gallon to travel 12 1/2 miles

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 =

30 miles per gallon

B car : 5/7 gallon to travel 20 5/7 miles

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

most fuel efficient is A car....it gets 30 miles per gallon

3 0
3 years ago
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