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Anestetic [448]
3 years ago
11

The length of which line segment is equal to the exact value of the sine if theta?

Mathematics
1 answer:
Ainat [17]3 years ago
4 0
<h3>Answer: Option 2. Segment TS</h3>

====================================================

Explanation:

Recall that the sine of an angle is equal to the ratio of opposite over hypotenuse.

In other words,

sin(angle) = opposite/hypotenuse

With respect to reference angle theta, the side TS is opposite this angle. It is the leg furthest from the angle. The hypotenuse is the longest side segment TO. The hypotenuse is always opposite the 90 degree angle.

For a unit circle, the radius is 1, so segment TO is 1 unit long.

Therefore,

sin(angle) = opposite/hypotenuse

sin(theta) = TS/TO

sin(theta) = TS/1

sin(theta) = TS

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What is the rate of change of function g?
Natasha2012 [34]

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

5 0
3 years ago
Evaluate 21/a+4 when a=3
DochEvi [55]

Answer:

11

Step-by-step explanation:

All you have to do is plug in a. In this case, a=3.

21/a+4

21/(3)+4

21/3+4

7+4

11

If this helps please mark as brainliest

5 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
victus00 [196]

Answer: y=-5/2x-4

Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.

Hope this helps you out! ☺

5 0
3 years ago
Write x2 - 8x - 3 in vertex form.
crimeas [40]
Vertex form:

y = a(x - h)² + k

I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:

Y = (x - 4)² - 19

I believe so :/
6 0
4 years ago
What is x for Unknown angle problems with algebra?
yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

x+2x+(x+10)=90

Solving and finding value of x

x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20

So, the value of x=20

Keywords: Angles

Learn more about angles at:

  • brainly.com/question/3202836
  • brainly.com/question/7151553

#learnwithBrainly

5 0
3 years ago
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