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Mathematics

1 answer:

Brums [2.3K]2 years ago

6 0

Answer: sqrt(2)/2 which is choice D

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Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the

AveGali [126]

The true statement is h(2)=16.

<h3 /><h3>What is domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function. The range of a function is the set of values that the function assumes.

Given:

domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25,

Also, h(8) = 19 and h(-2) = 2,

Now,

2=h(-2)< h(2)<h(8) =19

h(8)=19≠21

h(13)> h(8) =19

h(-3)< h(-2) =2 [1 ≤ h(x) ≤ 25]

Hence, h(2)=16

Learn more about domain and range:

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5 0

1 year ago

I need help I will give BRAINLEST

GREYUIT [131]

Answer:

25%

Step-by-step explanation:

To solve this, we can use the percent change formula shown in the picture attached below. $x_{2}$ is the new value, $x_{1}$ is the old value, and $C$ represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change: