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2 years ago

Use the unit circle to find the inverse function value in degrees cos^-1 (sqrt3/2)

1 answer:

3 0

Better to write that as:

-1
cos [ sqrt(3) / 2 ]

since the cosine is defined as "adjacent side over hypotenuse," we know that the adj. side is sqrt(3) and that the hyp is 2. The primary solution will be in Quadrant I because the adj. side is positive.

Think: which angle in Q I has adj. side equal to sqrt(3) and hyp equal to 2?

That'd be 30 degrees. Unfortunately, that's not one of your answer choices. Thus, reflect that angle in the positive x-axis; you'll end up with a ray whose positive angle is 330 degrees.

I'd suggest you ensure that you've copied this problem down correctly.
sqrt(3)
Did you mean sqrt(3/2) or did you mean ---------- ??
2

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At a pressure 41 kPa, the gas in a cylinder has a volume of 16 liters. Assuming temperature remains the same, if the volume of t

DiKsa [7]

If temperature (T) and amount of gas (n) remain constant, but pressure (P) and volume (V) change, then the ideal gas law: PV = nRT becomes
P1V1 = P2V2 --> (41)(16) = P2 (4)
--> P2 (4) = 656
P2 = 656/4 = 164 kPa

6 0

3 years ago

Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

5 0

3 years ago

PLEASE HURRY!!!!!!<br> 10 points !!!!!!!!!!! What is the value of x??

horsena [70]

Answer:

x = 98°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle and 53° and 45° are the opposite interior angles, hence

x = 53° + 45° = 98°

3 0

2 years ago

Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year,

Aleonysh [2.5K]

Answer:

5850

Step-by-step explanation:

300+25x

3 0

2 years ago

2sec^2x - secx - 1 = 0

Ivenika [448]

What are you trying to do here?
Solve the graph, or make it appear as something else?

First, we're going to take one sec (x) out so that we get:
sec (x) (2sec (x) -1 -1) = 0

sec (x) (2sec (x) -2) = 0

Then we're going to separate the two to find the zeros of each because anything time 0 is zero.

sec(x) = 0

2sec (x) - 2 = 0

Now, let's simplify the second one as the first one is already.

Add 2 to both sides:

2sec (x) = 2

Divide by 3 on both sides:

sec (x) = 1

I forgot my unit circle, so you'd have to do that by yourself. Hopefully, I helped a bit though!

8 0

3 years ago