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Nady [450]
2 years ago
5

A water sprinkler covers the area shown in the figure.

Mathematics
1 answer:
charle [14.2K]2 years ago
3 0

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is <u>36 seconds</u>.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

\omega = \mathbf{\dfrac{\theta}{t}}

Therefore;

t = \dfrac{\theta}{\omega}

Which gives;

t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s

The time it takes the sprinkler to reach the far right position, t = <u>36 seconds</u>.

Learn more here:

brainly.com/question/14753185

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What is the surface area of this composite solid?______________ square feet 242 319 363 517
jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

V_{prims}=11 \times 11 \times 2=242 \ ft^{3}

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

7^{2}=h^{2} +(5.5)^{2}\\  49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}

The sum of both figures represents the total volume of the composite figure

V_{total}=242+173.4=415.4ft^{3}

Therefore, the right answer is 415.4 cubic feet.

3 0
3 years ago
Read 2 more answers
The base is 3 and the height is 2 what is the area of the triangle
Scorpion4ik [409]

Answer:

area = 3

Step-by-step explanation:

area of a triangle = 1/2 base x height

1/2 x 3 x 2 = 1/2 x 6 = 3

6 0
3 years ago
PLEASE help a girl out! :)What is the actual area of the room?
andrey2020 [161]

Answer:

=75ft^{2}

Step-by-step explanation:

Area is found by mulitplying width and height.

A=7.5(5)\\

A=37.5\\in

The ratio is 0.5in : 1ft, so if you multiply that ratio to the answer, you should get the answer in feet.

37.5in x \frac{1ft}{0.5in} =75ft^{2}

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goblinko [34]
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What is the constant of proportionality in the equation y=2xy
dybincka [34]

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

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3 years ago
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