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yulyashka [42]
3 years ago
10

Given a circle with a radius of 0.85 meters, find the area of 1/3 of the circle. Use 3.14 for pi and round to the nearest hundre

dth.
Mathematics
2 answers:
laiz [17]3 years ago
8 0

Answer: 0.76 square meters

Step-by-step explanation:

The area of circle is given by :-

\text{Area}=\pi r^2, where r is the radius of the circle.

Given: Radius of circle = 0.85

The area of circle will be :-

\text{Area}=(3.14) (0.85)^2=2.26865\ m^2

Now,  area of 1/3 of the circle is given by :-

A=\dfrac{1}{3}\times2.26865=0.7562166666\approx0.76\ m^2

olga_2 [115]3 years ago
7 0
1/3 x pi x radius squared 
1/3 x pi x 0.7225 = 0.7566002307 

0.76 to nearest hundredth 
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Find equation of a line through 5 -3 that is parallel to y=1/2x+3
xxTIMURxx [149]

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line  is:   y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2  = -1

⇒ m 1 x ( 1/2)  = -1

⇒ m 1  = - 2

Also, the point son the line 1 is given as: (x,y)  = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) +  C

or, C = -3 + 10 = 7

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The general line equation is given as:  y = m x + C

Substituting  the values of C and m, we get:

y = - 2 x  + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

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8 0
3 years ago
Mr. Shaw wants to replace the flooring his family room. The floor has an area of 262.8 square feet. If the room is 18 feet long,
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Answer:

14.6

Step-by-step explanation:

The area of a rectangle is area=length*width

so we can substitute the numbers here, 262.8=18w

divide 262.8 by 18 to isolate the variable.

You get 14.6.

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Answer:

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