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2 years ago

BRAINLIEST Volume of a cylinder.

Mathematics

2 answers:

astra-53 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Given,

Radius of a cylinder = 2 ft

Height of the cylinder = 7 ft

Therefore, volume of the cylinder

$= \pi {r}^{2} h$

$= \frac{22}{7} \times 2ft \times 2ft \times 7ft$

$88 {ft}^{3} (ans)$

IrinaVladis [17]2 years ago

3 0

Formula: V = (3.14) (r^2)(h)
V= (3.14)(2^2)(7)
V= 87.92

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Eva has borrowed 200 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 w

Alenkasestr [34]

PART A)

The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.

<span>the initial value is 200 at 0 weeks, which means that there are 200 songs to be downloaded at the beginning</span>

PART B)

<span><span><span> <span><span>calculate the slope:
</span><span> m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
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3 years ago

A 10 2/3 inch long pipe is cut into 8 equal length pieces, how long is each piece

storchak [24]

Answer:

$\frac{4}{3}$ inches

Step-by-step explanation:

The total length of pipe is 10 2/3rd inches

It is cut into 8 equal pieces

We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:

$a\frac{b}{c}=\frac{(a*c)+b}{c}$

So,

$10\frac{2}{3}=\frac{32}{3}$

Each piece length is:

$\frac{\frac{32}{3}}{8}\\=\frac{32}{3}*\frac{1}{8}\\=\frac{32}{24}\\=\frac{4}{3}$

So, each piece is $\frac{4}{3}$ inches

6 0

3 years ago

There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet$

Rounding to the nearest foot, we have:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet$

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

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3 years ago

Which inequality explains why these three segments cannot be used to construct a triangle?

Anna11 [10]

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.

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2 years ago

Which of the following are roots of the polynomial function? check all that apply F(x)=x^3-x^2-5x-3

lawyer [7]

Sjjnan snsnsn Jan’s. Ndndnd

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3 years ago