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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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o.75, 75/100, 3/4, 15/20

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7 0
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Is the value of the first 4 ten times as great as the value of the second 4 in 4,043? Explain. What can you generalize about the
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As per the the question we need to calculate the value of first 4 multiplied by 10.

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Multiplying the value of first 4 by 10 we get:

4000 \times 10=40,000

Now, the second 4 in the digit 4,043 is at the tens place. So the place value of second 4 in the digit 4,043 is 40.

We can see that two of them are not equal and the value of first 4 times ten is far greater than the value of second 4.

It can be said that two of the 4s in the digit 4,043 are at two different places, first is at thousands place and second is at tens place. So if the numbers are two places apart their place value will have difference of 100 folds.

5 0
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A gallon of gas costs g dollars. paul puts 12.5 gallons of gasoline in his car and 0.75 gallon of gasoline in a portable tank. w
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6 0
3 years ago
Write the equation of a line that is perpendicular to x=3x=3x, equals, 3 and that passes through the point (0,-4)(0,−4)left pare
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Let n be the slope of the required line, then

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Equation of line with slope n and passers through (a,b) is

(y-b)=n(x-a)

Equation of line with slope n= \dfrac{-1}{3} and passes through point ( 0,-4) :

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Hence, Required equation : x+3y=12

8 0
3 years ago
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