Answer:
If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.
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Answer:
26.14 ft/s
Step-by-step explanation:
Assume that the acceleration was constant throughout the whole fall and equal to the acceleration of gravity which is roughly 32.17 ft/s.
If the distance travelled was 26 ft, the time it took him to land was:
At the apex, just before the fall, the skateboarder velocity is zero. The velocity of an object, initially at rest and accelerating at a constant rate, is:
The skateboarder's velocity at the moment he touched down onto the ramp was 26.14 ft/s.
Answer:
x = $3.50; y = $2.25
Step-by-step explanation:
First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.
3x + 2y = 15
3x = 15 - 2y
x = (15 - 2y)/3
Plug in the answer to your second equation.
8(15 - 2y)/3 + 4y = 37
(120 - 16y)/3 + 4y = 37
120 - 16y + 12y = 111
120 - 4y = 111
-4y = -9
y = 2.25
Plug in your answer to find <em>x.</em>
3x + 2(2.25) = 15
3x + 4.5 = 15
3x = 10.5
x = 3.5
Check your equation.
1) 3(3.5) + 2(2.25) = 15
10.5 + 4.5 = 15
15 = 15
2) 8(3.5) + 4(2.25) = 37
28 + 9 = 37
37 = 37
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The major trigonometric ratios at this level include sine, cosine and tangent.
sine is the ratio of opposite to hypotenuse, cosine is the ratio of adjacent to hypotenuse while tan is the ratio of opposite to adjacent. Therefore, in this case our adjacent is 15, To get the hypotenuse we use the pythagoras theorem
15² + 9² = 346, thus the hypotenuse will be √346.
Hence, cos B will be 15/√346