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3 years ago

Find the total surface area of this cone

Mathematics

1 answer:

fenix001 [56]3 years ago

3 0

Answer:

S.A. = 1,017.36

Step-by-step explanation:

S.A. = $\pi r^{2} + \pi rl$

12 x 12 x 3.14 = 452.16

3.14 x 12 x 15 = 565.2

565.2 + 452.16 = 1,017.36

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gladu [14]

Answer:

17+7=24

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

A student has 6 nickel 14 dimes and 8 quarter. What is the total number of coins?

S_A_V [24]

There is 28 coins total

7 0

3 years ago

Based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this obse

Aleks [24]

Answer:

d. H0: melanoma mortality rate is not linearly related to latitude

Ha: melanoma mortality rate is linearly related to latitude

Step-by-step explanation:

The linear regression equation is

y=α+βx where α=intercept and β=slope.

β=slope demonstrates the change in dependent variable due to unit change in independent variable.

If the slope is zero then we can say that Y and X are not linearly related.

Thus, the hypothesis for testing significance of linear relationship two variables can be written as

Null hypothesis: The two variables are not linearly related i.e. β=0

Alternative hypothesis : The two variables are linearly related i.e. β≠0.

Thus, in the given scenario the hypothesis are

H0: melanoma mortality rate is not linearly related to latitude

Ha: melanoma mortality rate is linearly related to latitude.

5 0

3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

3 years ago

Which of the following best represents the highest potential for nonresponse bias in a sampling strategy? Describe why this opti

natta225 [31]

Answer:

c. Asking people leaving a local election to take part in an exit poll

Step-by-step explanation:

Asking people leaving a local election to take part in an exit poll best represents the highest potential for nonresponse bias in a sampling strategy because of the importance of the local election compared to the exit polls.

It is worthy of note that nonresponse bias occurs when some respondents included in the sample do not respond to the survey. The major difference here is that the error comes from an absence of respondents not the collection of erroneous data. ...

Oftentimes, this form of bias is created by refusals to participate for one reason or another or the inability to reach some respondents.

7 0

3 years ago