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Alex
3 years ago
9

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet pe

r second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

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3 years ago
two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)

diagonal^2 = 53.284

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So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

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3 years ago
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Answer:

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4 0
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