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Julli [10]
2 years ago
7

What is the angle e in the triangle below? (Hint: Use an inverse trigonometric

Mathematics
2 answers:
yuradex [85]2 years ago
5 0

Answer:

A

Step-by-step explanation:

sin θ=3/8

θ=sin ^{-1}(3/8)

≈22.02 °

pshichka [43]2 years ago
5 0

Answer:

About 22 degrees

Step-by-step explanation:

Since we are given the opposite side measurement to the angle we wish to find and the hypotenuse measurement, we will want to use sine.

sin(theta)=3/8

theta=arcsin(3/8)

theta=22.024 approximately

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F(x) = - |x| +4 Define the key features of the graph to the provided absolute value function
Kisachek [45]

Answer:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

Step-by-step explanation:

We are given the function  f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.

The f(x) = - |x| +4 has two important caracteristics:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.

Attached you can find the graph

8 0
2 years ago
a circle has a circumference of 20. it has an arc length of 4, what is the central angle of the arc, in degrees?
tatyana61 [14]

Answer:

let Φ be the central angle of the arc

pi*2r = 20

r = 10/pi

arc length= 2pi*r*(Φ/360°)

4 = 2pi*r*(Φ/360°)

Φ=2/10 * 360° =72° degree




8 0
2 years ago
Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0). 3. 1 = -2 3. 1 =
Alexus [3.1K]

(\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y=\cfrac{1}{3}(x+6)\implies y=\cfrac{1}{3}x+2

3 0
2 years ago
If r = 2,440, then what is 29.3r?
olga nikolaevna [1]

Answer:

29.3r

29.3x2440

=71,492

3 0
2 years ago
Given: A = {(0,0), (2,1), (3,1.5), (4,2)} Is A a function and why?
Veronika [31]

Hello there! Yes, A is a function. Something is a function is when it has no repeating x values. In the given equation, there are no repeating x values. This makes it a function.

I hope this helps!

6 0
2 years ago
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