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Black_prince [1.1K]
3 years ago
10

The arched interior is comprised of a semi-circle and a rectangle. The diameter of the semi-circle is 20 inches. The length of t

he rectangle is 30 inches. What is the area of the arched interior? Use 3.14 for π.
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Step-by-step explanation:

A semicircle is a half circle. That means a semicircle will have half of the area of a circle. You might think that means it will have half the perimeter of a circle, but that is not true.

To make a semicircle, take any diameter of the circle. Remove one half of the circle along that diameter. You have a semicircle (half of a circle).

A semicircle is half the circumference of a full circle plus the diameter of a cricle,

(

d

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:

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Sure you could as long as you have the point.

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we know that:
y = mx + b
plug in the values given
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in this case
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Which of the numbers below is greater than 36.785 Select all that apply
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Multiply and reduce to lowest terms. Convert into a mixed number if necessary.<br> 4 x 3/5 = ?
Gnesinka [82]

Answer:

2 2/5

Step-by-step explanation:

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3. The table gives the coordinates of a
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3 years ago
Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to the line through the pair of points.
ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m=\frac{-1}{4}

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

m = \frac{0-(-4)}{0-(-1)} =4

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

m_{1} = m_{2}

Therefore the slope of the line that is parallel to the another line

m_{1} =m_{2} =4

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

m_{2} =\frac{-1}{4}

Therefore the slope of the line is perpendicular to the another line is

m=\frac{-1}{4}

3 0
3 years ago
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