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2 years ago

Find the total surface area of this cone.

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

Answer:

$SA = 70\pi$

Step-by-step explanation:

Given

See attachment for cone

Required

The total surface area

This is calculated as:

$SA = \pi r\² + \pi rl$

From the attached cone:

$r = 5$ -- radius

$l = 9$ --- slant height

So, we have:

$SA = \pi * 5^2 + \pi * 5*9$

$SA = 25\pi + 45\pi$

$SA = 70\pi$

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3 years ago

A colony of bacteria doubles every minute. If

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3 years ago

The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w

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The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

$h(x) = 15$

Substitute the value of h(x) in the equation,

$\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0$

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

$\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45$

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

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2 years ago

Use the net to find the surface area of the cylinder, give your answer in terms of pi.

postnew [5]

Answer:

The correct answer is last option

surface area = 104 yd²

Step-by-step explanation:

Formula:

Surface area of cylinder = 2πr² + 2πrh

Where r is the radius and h is the height of cylinder

To find the surface area of cylinder

Here r = 4 yd and h = 9yd

Surface area = 2πr² + 2πrh = 2π * 4 * 4 + 2π *4 *9

= 32π + 72π = 104π yd²

Therefore the total surface area of given cylinder = 104π yd²

The correct answer is last option .

5 0

3 years ago

Read 2 more answers

What's the least common multiple of 6, 12 and 30

Licemer1 [7]

Answer:

the answer is 2

Step-by-step explanation:

2×4=6

2×6=12

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3 years ago