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3 years ago

Find the surface area of the cylinder. Round to the nearest tenth.

Mathematics

1 answer:

OleMash [197]3 years ago

5 0

Hello!

To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.

The formula for the surface area of a cylinder is SA = 2πrh + 2πr².

In this formula, r is the radius and h is the height.

In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.

In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.

SA = 2π(9)(6) + 2π(9)²

SA = 54(2π) + 2(81π)

SA = 108π + 162π

SA = 270π

SA ≈ 848.2 m²

Therefore, the surface area of the given cylinder is choice A, 848.2 m².

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lapo4ka [179]

It's easiest to start with the point-slope form of an equation, $y-y_1=m(x-x_1)$ , where m is the slope and $(x_1, y_1)$ is the point given.

We have m = 3, $x_1 = 5$ , and $y_1 = 10$ .

We plug in these values to get
$y-10=3(x-5)$ .

We now rearrange to get this into slope-intercept form, $y=mx+b$ , by solving for y.

$y=3(x-5)+10\\y=3x-15$

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3 years ago

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Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.

kramer

Answer:

500 *32

Step-by-step explanation:

So the circumference of the whole circle is 500 and they are asking for the whole thing

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3 years ago

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A student working on a summer internship in the economic research department of a large corporation studied the relation between

OverLord2011 [107]

Answer:

Step-by-step explanation:

Hello!

Y: sales of a product in a marketing district (million dollars)

X: population in a marketing district (million persons)

The objective is to test if there is a linear association between the sales of a product and the population of a marketing district.

Parameter; Estimated Value; 95 Percent Confidence limits

Intercept 7.43119 -1.18518 16.0476

Slope 0.755048 0.452886 1.05721

To test if there is or not an association between these two variables, you have to do a hypothesis test for the slope. If the slope is equal to zero, there is no linear association between the two variables, if the slope is different from zero, then there is a linear association between the variables.

So the student's hypotheses are:

H₀: β = 0

H₁: β ≠ 0

The data the student used to conclude is the 95%CI for the slope [0.452886;1.05721]

To be able to decide over an hypothesis test using a confidence interval there are several conditions to be met, one of them is that the confidence level and the significance level should be complementary, this means that if the interval was constructed using 1 - α= 0.95, then the hypothesis test should be conducted with a significance level of α= 0.05.

Considering that the value of the slope stated in the null hypothesis is not included in the given interval, i.e. zero is not included in the CI, then the decision is to reject the null hypothesis.

Then it can be concluded that there is a linear association between the sales of a product and the population in a marketing district.

Although in the context of the variables of study it makes no sense that the estimate of the intercept takes negative numbers, keep in mind that mathematically if possible and correct. This means that obtaining a negative estimate of the intercept does not represent a calculation error or problem for the regression model. In general, when this occurs, a footnote is made indicating has no biological meaning or sense in context.

After all, what you have done with the estimate is a mathematical assertion of the social variables.

I hope it helps!

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3 years ago

[y = 4x] [x + y = 5]

alexandr1967 [171]

X=1, y=4

Substitute 4x in for y in the second equation and you get 5x=5. Divide out 5 and you get x=1. Then, you can plug 1 in for x into either equation and solve for y.

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3 years ago

Which number produces a irrational number when added 0.25

Helen [10]

I think the easiest way to think about this is to put 0.25 into fractional form. 0.25 = 1/4 because 4 divided into 1 = 0.25

So 1/4 added to 2/9 will give us a fraction (rational number). Of course to determine what the fraction is, we have to get a common denominator.
(In case you wanted to know what that rational number is: The least common denominator would be 36. So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.)

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3 years ago