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Bingel [31]
2 years ago
6

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha

t is the area of the roof? What is the lateral area of the roof?
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
5 0

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
(r: radius, h: height, πr^2 is the area of the base of the cone, πr\sqrt{h^{2}+r^(2) } is the lateral area of the cone). So:

A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

AL=15\pi \sqrt{30^{2} +15^{2} } ≈ 1580.58 ft^2.

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How do you find the area of a polygon in a coordinate plane
inna [77]

Step-by-step explanation:

The way that I would do it, would be to use the point distance formula to find the length of each side.

Distance formula: \sqrt{(x2-x1)^{2} (y2-y1) ^{2} }

After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.

Area of Triangle: A= 1/2 base times height

Area of Rectangle: A= length times width

Area of Square: A= s^2 where s is the length of the side

Area of Parallelogram: A= base times height

Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides

Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)

Area of Regular Polygons: A= 1/2 (apothem times perimeter)

6 0
3 years ago
Help please <br> Show work if you can
grin007 [14]

Answer:

answer is 350 square cm sry can't give explanation

Step-by-step explanation:

8 0
3 years ago
A university has 750 female students and 2250 male students. Thirty per cent of female students study chemistry and 60% of male
UNO [17]

Answer:

1/7 or 14.3%

Step-by-step explanation:

30% of 750 = 225  (females who study chemistry)

60% of 2250 = 1350  (males who study chemistry)

1575 = total students studying chemistry

P (female chemistry student) = 225/1575 = 1/7 (simplified)

1/7 = 14.3%

7 0
2 years ago
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A U B?
Phoenix [80]

Answer:

Answer is A U B = {3,5,7}

3 0
3 years ago
Does anyone know how to solve this?
masya89 [10]

Answer:

b = -125/9

Step-by-step explanation:

1 + log5 ( -9b) = 4

Subtract 1 from each side

1 -1+ log5 ( -9b) = 4-1

log5 ( -9b) = 3

Raise each side to the base 5

5^  log5 ( -9b) = 5^3

This will cancel the log5

-9b = 125

Divide each side by 9

-9b/-9 = 125/-9

b = -125/9

3 0
3 years ago
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