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xeze [42]
3 years ago
8

Look at the image below plz correct answers Surface area of cones 15 points

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

A\approx 282.7\ m^2

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

a^2+b^2=c^2

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

a^2+b^2=c^2

a^2+5^2=13^2

Simplify,

a^2+5^2=13^2

a^2+25=169

Inverse operations,

a^2+25=169

a^2=144

a=12

h=12

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

A=\pi r(r+\sqrt{h^2+r^2})

Where (\pi) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

A=\pi r(r+\sqrt{h^2+r^2})

A=\pi 5(5+\sqrt{12^2+5^2})

Simplify,

A=\pi 5(5+\sqrt{12^2+5^2})

A=\pi 5(5+\sqrt{144+25})

A=\pi 5(5+\sqrt{169})

A=\pi 5(5+13)

A=\pi 5(18)

A=\pi 90

A\approx 282.743

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alina1380 [7]

Answer:(g,h)=(-2,2)

Step-by-step explanation:

Given

Midpoint is (-2,3)

Endpoints are G(g,4) and H(-2,h)

Mid point of any two point is given by

x=\frac{x_1+x_2}{2}

and y=\frac{y_1+y_2}{2}

So,-2=\frac{g+(-2)}{2}

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g=-2

Also

3=\frac{4+h}{2}

6=4+h

h=2

Therefore (g,h)=(-2,2)

4 0
3 years ago
What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
ivann1987 [24]

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

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8 0
2 years ago
Please help answer A and B
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Answer:

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Step-by-step explanation:

4 0
2 years ago
The screen on a computer monitor has a length of 15 inches and a width of 12 inches. What is the length of the diagonal to the n
Mekhanik [1.2K]

Answer:

19.2

Step-by-step explanation:

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15^2+12^2=369

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5 0
3 years ago
At Taylor Street School, 40% of the students bought lunch in the cafeteria today. Of the students who bought lunch in the cafete
leva [86]

Answer:

  Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

Explanation:

  Let number of students be 100.

  At Taylor Street School, 40% of the students bought lunch in the cafeteria today

 Number of students bought lunch = 100 x 40/100 = 40

 Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree

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 Probability of an outcome = Number of favorable outcome/ Total number of outcome

 Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students

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  Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%

4 0
3 years ago
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