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Harrizon [31]
2 years ago
14

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i

s 90pi inches per minute, what is the diameter, in inches, of the circular path?
Mathematics
1 answer:
natima [27]2 years ago
4 0

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

For more explanation, refer the following link:

brainly.com/question/17978382

#SPJ10

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Help me pleaseeeeeeeee<br>​
natka813 [3]

Answer:

20 m

Step-by-step explanation:

Here, we will take,

The distance from top of the building to the tip of the shadow = Hypotenuse = 37 m

The length of shadow of the building = base = 32 m

let, height of the building = perpendicular = p

According to the Pythagoras Theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

<em>h</em><em>²</em><em> </em><em>=</em><em> </em><em>b²</em><em> </em><em>+</em><em> </em><em>p²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>h²</em><em> </em><em>-</em><em> </em><em>b</em><em>²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>37</em><em>²</em><em> </em><em>-</em><em> </em><em>32</em><em>²</em><em> </em>

<em>p²</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>6</em><em>9</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em>2</em><em>4</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>34</em><em>5</em>

<em>p </em><em>=</em><em> </em><em>1</em><em>8</em><em>.</em><em>5</em><em>7</em>

and if we round the solution to nearest tenth it will be 20.

<u>Hence,</u><u> </u><u>height </u><u>of </u><u>the </u><u>building </u><u>is </u><u>2</u><u>0</u><u> </u><u>m.</u>

7 0
3 years ago
What is the distance between the points (–4, 2) and (3, –5)?
luda_lava [24]

Answer:

\sqrt{98}

Step-by-step explanation:

Using the distance formula

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, - 5)

d = \sqrt{(3+4)^2+(-5-2)^2}

  = \sqrt{7^2+(-7)^2}

  = \sqrt{49+49}

  = \sqrt{98}

7 0
4 years ago
Read 2 more answers
If k (x) = x^2 and p (x) = k (x) + n, what is the value of n?
frosja888 [35]

The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6

<h3>How to determine the value of n?</h3>

The equations are given as:

k(x) = x^2

p (x) = k (x) + n


From the graph, we can see that the graph of k(x) is shifted down by 6 units.

This means that the equation of p(x) is

p (x) = k (x) - 6

By comparison;

n = -6

Hence, the value of n in p (x) = k (x) + n is -6

Read more about function transformation at:

brainly.com/question/17586310

#SPJ1

7 0
2 years ago
The diagram shows a partly filled oil tank
Llana [10]
Wheres the digram? its not there
5 0
3 years ago
Read 2 more answers
Please help I will give brainliest!!
irina1246 [14]

Answer:

60

Step-by-step explanation:

lXW

6X10=60

8 0
3 years ago
Read 2 more answers
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