The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.
<h3>What is curved surface area?</h3>
The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".
Here,
Curved surface area of cone=πrl
=140π
l=5 cm
140π=πr*5
r=140/5
r=28 cm
The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.
To know more about curved surface area,
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Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
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Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
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Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
Change the equation to slope intercept form:
-5y=-x+10
y=1/5x-2
The y intercept is -2
0.45+0.45= $0.90 + 5.50x2+2.25=$13.25 13.25+0.90 =$14.50 he would get $5.50 back out of the 20$ spent
To get the inverse, first off do a quick switch on the variables, and then solve for "y".
