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Ray Of Light [21]
2 years ago
6

If anyone could help

Mathematics
2 answers:
Sholpan [36]2 years ago
7 0
3/4 x 85 is less than 85
2/3 x 85 is less than 85
5/5 x 85 is equal to 85
den301095 [7]2 years ago
6 0

The answer is in the pic.

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Cos y/ 1-sin y= 1+sin y/cos y. Verify the identity. Show All Steps!
Vlada [557]

Answer:

When proving identities, the answer is in the explanation.

Step-by-step explanation:

\frac{\cos(y)}{1-\sin(y)}

I have two terms in this denominator here.

I also know that 1-\sin^2(\theta)=\cos^2(theta) by Pythagorean Identity.  

So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here.  There will be other problems will you have to do this.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

Big note here: When multiplying conjugates all you have to do is multiply fist and last.  You do not need to do the whole foil.  That is when you are multiplying something like (a-b)(a+b), the result is just a^2-b^2.

Let's do that here with our problem in the denominator.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{(1-\sin(y))(1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{1^2-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{1-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{cos^2(y)}

In that last step, I apply the Pythagorean Identity I mentioned way above.

Now You have a factor of cos(y) on top and bottom, so you can cancel them out.  What we are really saying is that cos(y)/cos(y)=1.

\frac{1+\sin(y)}{cos(y)}

This is the desired result.

We are done.

6 0
3 years ago
A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the f
algol [13]

Using linear function concepts, it is found that the correct statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at brainly.com/question/24808124

8 0
2 years ago
Please help. I will give brainliest to the best answer. Thank you!
miskamm [114]

Answer:

y = 3x + 2 is the equation

Step-by-step explanation:

y intercept is where x is 0 that means y intercept is 2.

slope is change in y over change in x which is 3

6 0
2 years ago
Write one way you can read the time. Like 3:55
Ratling [72]

first is 3:56

And is three fivety six

7 0
2 years ago
Read 2 more answers
(80 POINTS) What rule describes a dilation with a scale factor of ½ and the center of dilation at the origin?
lesya [120]

Answer:

C

Step-by-step explanation:

(x, y) -> (1/2x, 1/2y)

When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)

6 0
3 years ago
Read 2 more answers
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