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Scilla [17]
3 years ago
9

A little boy stands on a carousel and rotates around the ride 4 times if the distance between the little boy and the center of t

he carousel is 6 feet then how many feet did the little boy travel
Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

24 feet is the answer to this problem.

Step-by-step explanation:

cause he traveled 4 times around the distance of 6 feet, so basically all you have to do is 4×6

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Step-by-step explanation:

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What is the area of a rectangle with side lengths of 1/2 and 2/3
ololo11 [35]

Answer:

2/6 square units

Step-by-step explanation:

What is the area of a rectangle with side lengths of 1/2 and 2/3

Step one:

given data

L= 1/2 units

W=2/3 units

Step two:

Area= L*W

substitute

Area= 1/2*2/3

Area=2/6 square units

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2 years ago
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Find the integration of (1-cos2x)/(1+cos2x)
slega [8]

Given:

The expression is:

\dfrac{1-\cos 2x}{1+\cos 2x}

To find:

The integration of the given expression.

Solution:

We need to find the integration of \dfrac{1-\cos 2x}{1+\cos 2x}.

Let us consider,

I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx

I=\int \dfrac{2\sin^2x}{2\cos^2x}dx         [\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]

I=\int \dfrac{\sin^2x}{\cos^2x}dx

I=\int \tan^2xdx                      \left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]

It can be written as:

I=\int (\sec^2x-1)dx             [\because 1+\tan^2 \theta =\sec^2 \theta]

I=\int \sec^2xdx-\int 1dx

I=\tan x-x+C

Therefore, the integration of \dfrac{1-\cos 2x}{1+\cos 2x} is I=\tan x-x+C.

8 0
2 years ago
A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid i
Temka [501]

Answer:

9.48

Step-by-step explanation:

Complete question

<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?</em>

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = <em>h²+</em>8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

<em>Note that the value of the slant height was assumed to solve the problem</em>.

3 0
2 years ago
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