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Ber [7]
3 years ago
12

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

B

Step-by-step explanation:

since the tan is opposite over adjacent

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Solve the equation sin theta = 0.3 to the nearest tenth. Use the restrictions 90degrees < theta < 180degrees.
Alexxandr [17]
We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°

To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.
5 0
3 years ago
What is the equation of a line that passes through the point?
Artist 52 [7]
<h3>Answer: 3x-2y = 5 (choice A)</h3>

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

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0
3 years ago
Identify the interval that is not equal to the other three 15-19 30-34 40-45 45-49
Lunna [17]

Answer:

45-40

Step-by-step explanation:

The first interval is 15-19.

The width of this interval is: 19-15=4

The second interval is 30-34.

The width of this interval is: 34-30=4

The third interval is 40-45.

The width of this interval is: 45-40=5

The fourth interval is 45-49.

The width of this interval is: 49-45=4

<h3>Therefore the interval that is not equal to the other three is 45-40</h3>
5 0
2 years ago
What is the inverse of f(x)=(-2x+2)/(x+7)?
Nana76 [90]

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

x \to y

f(x) \to x

x = \frac{-2\cdot y + 2}{y+7}

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

g(x) = \frac{- 7\cdot x + 2}{x + 2}

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0
1 year ago
3(x - 5) – 3 = 5(x - 2) + 2x
Arlecino [84]

Answer:

x=−2

Step-by-step explanation:       Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

3x+−15+−3=5x+−10+2x

(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)

3x+−18=7x+−10

3x−18=7x−10

Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

−4x=8

Step 4: Divide both sides by -4.

−4x

−4

=

8

−4

x=−2

6 0
3 years ago
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