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Juliette [100K]
3 years ago
12

Given that Cos of theta= -0.866, where

frac{\pi }{2}" alt="\frac{\pi }{2}" align="absmiddle" class="latex-formula"> < theta < π, find Sin of Theta
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

sin(theta) = 0.5

tan(theta) = -0.577

Step-by-step explanation:

Cos theta = -0.866

Theta = 2.617943073

(Because in the second quadrant)

sin(theta) = 0.5

tan(theta) = -0.577

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What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
Read 2 more answers
Write the fraction as an equivalent fraction with the given denominator 7/4 = _/20
zzz [600]

Answer:

35/20

Step-by-step explanation:

20 divided by 4 = 5

so our multiple is 5

5 x 4 = 20

so we have to do the same to the numerator

5 x 7 = 35

Simplified= 1 3/5

4 0
2 years ago
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the sys
noname [10]
<h2>Key Ideas</h2>
  • Systems of equations

<h2>Solving the Question</h2>

When both sides of the equal sign are equal, there are infinite solutions.

When you are able to isolate the variable, there is only one solution.

When the equation states an untrue expression, there is no solution.

1=3 is an untrue fact. Therefore, there would be no solutions to the system.

<h2>Answer</h2>

There is no solution

5 0
2 years ago
2/9 of the people on the restaurant are adults. If there are 95 more children than adults, how many children are there in the re
yan [13]
A: Adults
C:children
P: people
A= 2/9 P
C= A+95
P= A+C
= 2/9P + 2/9P+95
= 4/9 P+95, add -4/9P for both sides (same terms, same sides:))
P- 4/9P= 95
5/9P= 95
P= 171 people in the restaurant
Adult= 2/9*171= 38 Adults
Children= 38+95= 133 children
7 0
3 years ago
How many years (to two decimal places) will it take $15000 to grow to $17500 if it is invested at 8% compounded semi- annually?
VLD [36.1K]

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

3 0
3 years ago
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