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3 years ago

What is the exact value of sin 60° as found on the unit circle?

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

The answer is $\frac{\sqrt{3} }{2}$

In order to find this, you need to draw a 30-60-90 triangle in the first quadrant with a 60 degree angle closest to the origin. Once you have that, you will note that, Sin is equal to the opposite side length over the hypotenuse. The opposite side is equal to the square root of 3 and the hypotenuse is equal to 2. So we just express it as such.

$\frac{\sqrt{3} }{2}$

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If x² + xy – 3y = 3, then at the point (2, 1), dy/dx

Scilla [17]

Answer:

Step-by-step explanation:

We have the equation:

$x^2+xy-3y=3$

Take the derivative of both sides with respect to x:

$\frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3]$

Implicitly differentiate:

$2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0$

Solve for dy/dx:

$\frac{dy}{dx}(x-3)=-2x-y\\$

Divide:

$\frac{dy}{dx}=-\frac{2x+y}{x-3}$

To find dy/dx at (2, 1), substitute 2 for x and 1 for y. So:

$\frac{dy}{dx}_{(2, 1)}=-\frac{2(2)+1}{2-3}=-\frac{5}{-1}=5$

Hence, our answer is A.

4 0

3 years ago

What’s this answer ????????

Paraphin [41]

2= f/8

Mutiply both sides by 8

(2/(8)= 16

f/8(8)= f ( crossed out 8 and 8)

Answer: f= 16

3 0

3 years ago

Read 2 more answers

A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water

Aloiza [94]

Answer:

The answer is $\frac{1}{256}$

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

8 of 9 people identified correctly or
9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

$0.5^9$ = $\frac{1}{512}$

So we have $2*\frac{1}{512}$ = $\frac{1}{256}$

6 0

3 years ago

Use the graphing calculator to graph the quadratic function y = 2x2 – 6x – 8. Which values are solutions of 0 = 2x2 – 6x – 8? Ch

SashulF [63]

4 is your answer. hope its correct

7 0

2 years ago

Read 2 more answers

Help me pls i will give brainiest answer

rjkz [21]

Answer:

table; occur; tally mark

Step-by-step explanation:

You would use a table to keep track of a distribution of data. You would have to wait for such data to occur. You could use tally marks to keep track to the data.

Hope this helps.

Sorry if it's wrong though.

7 0

2 years ago