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ladessa [460]
3 years ago
13

Please help me with this ASAP Don’t ANSWER With links please ****

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

10^2=(6)^2+h^2

100=36+h^2

100-36=h^2

64=h^2

Taking square root on both sides, we get

\sqrt{64}=h

8=h

The lateral area of a cone is:

A_L=\pi rl

A_L=\pi (6)(8)

A_L=48\pi

The surface area of a cone is:

A_S=\pi rl+\pi r^2

A_S=\pi (6)(8)+\pi (6)^2

A_S=48\pi +36\pi

A_S=84\pi

Volume of cone is:

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\pi (6)^2(8)

V=\dfrac{288}{3}\pi

V=96\pi

Therefore, the lateral area of a cone is 48\pi sq. units, the surface area of a cone is 84\pi sq. units and the volume of the cone is 96\pi cubic units.

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Sveta_85 [38]

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8 0
3 years ago
What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?
victus00 [196]

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

7 0
3 years ago
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Angelina_Jolie [31]
Use Photomath or desmo to give you the answer
7 0
3 years ago
The length of a rectangle is 7 inches longer than it's width. The area of the rectangle is 260 square inches. What is the length
bulgar [2K]

Answer:

The width cannot be negative, so w = 9, l = 16.

Step-by-step explanation:

w = the width

l = w +7

A = l · w

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144 = w2 + 7w

0 = w2 + 7w - 144

0 = ( w - 9 )( w + 16 )

The width cannot be negative, so w = 9, l = 16.

3 0
3 years ago
What is the y-intercept of the graph of 4y = 2x + 8?<br> 4<br> 2<br> 6<br> 00<br> N
Jet001 [13]

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

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8 0
3 years ago
Read 2 more answers
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