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bixtya [17]
3 years ago
8

Misha measured a distance of 60 feet from her kitchen to her bedroom. What is the equivalent number of meters (rounded to the ne

arest hundredth)?
Mathematics
1 answer:
algol133 years ago
8 0
One foot  = 0.3048  meters

so 60 feet = 0.3048 * 60 = 18.29 meters to nearest 1/100
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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
3 years ago
We can use the right outside diagonal of the empty Lacsap's triangle as the coefficients of a polynomial: $$t^3 + 6t^2 + 12t + 8
Vanyuwa [196]
The given equation with t -1 is:
(t – 1)^3 + 6 (t – 1)^2 + 12 (t – 1) + 8

Expand each term before combining for easier visualization:
(t – 1)^3 = t^3 – 3 t^2 + 3t – 1
6 (t – 1)^2 = 6 t^2 – 12 t + 6
12 (t – 1) = 12 t - 12

Then substitute and combine:
-> t^3 – 3 t^2 + 3t – 1 + 6 t^2 – 12 t + 6 + 12 t – 12 + 8

t^3 + 3 t^2 + 3 t + 1 (ANSWER)
7 0
3 years ago
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mr Goodwill [35]

That would be choice 2. One acute angle is the complement of the other

eg in a 90-60-30 triangle sine 30 = cos 60

8 0
3 years ago
Read 2 more answers
6-2x??? NEED AN ANSWER ASAP!!!
JulijaS [17]

Answer:

2(3-x)

Step-by-step explanation:

3 0
3 years ago
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vovangra [49]
3.25 cubic cm per gram
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3 years ago
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