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Dafna11 [192]
3 years ago
11

A course for a skateboard race consists of a 200-meter downhill run and a 150-meter level portion. The angle of elevation from t

he finish line to the starting point of the race is 27.4°. Find the angle θ the hill makes with the horizontal.

Mathematics
1 answer:
MrMuchimi3 years ago
8 0
The third choice is the correct one. 
draw a line from the starting point on the hill to the finishing point, suppose the angel formed by this new line and the slope of the hill is x
sinx/150=sin27.4/200
sinx=(150*sin27.4)/200
x=sin-1[(150*sin27.4)/200]
the angle formed by the slope of the hill and the horizontal line is the sum of x and 27.4
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The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

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3 0
1 year ago
For what value of x would the expression below be undefined? 6x − 9 x − 5
Marina86 [1]
6x - 9x - 5 =

combine like terms

6 - 9 = - 3

- 3x - 5 = 

leave x by itself

- 3x - 5 = 
+3x
___
  0
       - 5 = 3x

solve for x (division)

        
- 5 = 3x
       ___
         3
-5/3 = x         OR         x = -5/3
3 0
3 years ago
How many solutions are possible for a system of equations containing exactly one linear and one quadratic equation? (Select all
galina1969 [7]
Remember that a quadratic equation is a parabola. The equation is of the type y = Ax^2 + Bx + C


A linear equation is a straight line. The equation is of the type y = MX + N


The soluction of that system is Ax^2 + Bx + C = MX + N

=> Ax^2 + (B-M)x + (C-N) = 0


That is a quadratic equation.


A quadratic equation may have 0, 1 or 2 real solutions. Those are all the possibilitis.


So you must select 0, 1 and 2.


You can also get to that conclusion if you draw a parabola and figure out now many point of it you can intersect with a straight line.


You will realize that depending of the straight line position it can intersect the parabola in none point, or one point or two points.  
6 0
3 years ago
1. What is the product of one<br> half and two thirds?
Vilka [71]

Answer:

1/3

Step-by-step explanation:

1/2 * 2/3 = 2/6 = 1/3

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3 years ago
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Oduvanchick [21]
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