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3 years ago

What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.

Mathematics

2 answers:

Delicious77 [7]3 years ago

5 0

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

$2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)$

gizmo_the_mogwai [7]3 years ago

3 0

Answer: 414.69 m2

Step-by-step explanation:

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two airplanes are flying in the air at the same height: airplane a is flying east at $$ mi/h and airplane b is flying north at $

olga55 [171]

The distance between the airplanes changing is -390.

<h3>Calculation:</h3>

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

<h3>Similar to airplane A, airplane B's distance from the airport can be expressed as...</h3>

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

<h3>Depending on the passage of time, we have...</h3>

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

<h3>The values of its variables at t=0 must be determined in order to determine the numerical value of this</h3>

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

<h3>How far apart are the equation's two planes?</h3>

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

<h3>How widely apart are commercial airplanes?</h3>

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

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4 0

1 year ago

What’s the correct answer?

Julli [10]

Answer: 6 m

This statement:

"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:

$18km.\frac{2}{3}=12km$

This means two-thirds of 18 km is equivalent to 12 km

If we substract this value to the total, we have the values of the kilometers left to run:

$18km-12km=6km$

Therefore the correct option is D

8 0

3 years ago

What is the slope of the linear relationship shown in this table of values?

KATRIN_1 [288]

Answer:

Step-by-step explanation:

To find the slope m use any 2 ordered pairs from the table.

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1)

m = $\frac{-1-11}{2+4}$ = $\frac{-12}{6}$ = - 2 → B

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4 years ago

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The population of a city is expected to

Furkat [3]

$\huge\boxed{1.0925p}$

Since the population is going to increase by a certain percentage, we have to add $100\%$ to the percentage to keep the original population.

$9.25\%+100\%=109.25\%$

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

$109.25\longrightarrow 1.0925$

Now, just multiply that by $p$ .

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3 years ago

Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4

densk [106]

Answer: OPTION B

Step-by-step explanation:

The equation of a line that passes through the origin is the following:

$y=mx$

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.

Then, this is:

$f(x)=\frac{3}{4}x$

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