20x²-25x-105 factored is 5(x-3)(4x+7)
Sorry I’m not too sure about this
Answer:
a = 38 degrees
Step-by-step explanation:
ok that line is equal to 180 degrees
180 of the line subtract 52 degrees and 90 degrees equal the missing angle
52 + 90 = 142
180 - 142 = 38
a = 38
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
The ratio up to forward is 2:5 (For every two feet the ramp goes up it also goes 5 feet forward).
<span>If this ratio remained constant and we went x feet up and 22.5 feet forward, then x:22.5=2:5,
</span><span>
</span><span>5x=2·22.5,
</span>
5x=45,
x=45÷5,
x=9.
Answer: 9 feet up
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