Area of a circle is PI x r^2
The area is 169PI which means r^2 = 169
Find r by taking the square root of 169:
r - sqrt(169)
r = 13
The radius is 13 m
Move all terms to one sides
3x^2 - 14x - 5 = 0
Split the second term in 3x^2 - 14x - 5 into two terms
3x^2 + x - 15x - 5 = 0
Factor out the common terms in the first two terms, then in the last two terms;
x(3x + 1) - 5(3x + 1) = 0
Factor out the common term 3x + 1
(3x + 1)(x - 5) = 0
Solve for x;
<u>x = -1/3, 5</u>
Step-by-step explanation:
true
and the top and bottom are just circles
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
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h(t) =-4.9t^2+35t+30
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When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
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t = [-35 +- sqrt(637)]/(-9.8)
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To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
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Correct answer is D.
During the first 150 miles, she drove 150 miles at a speed of x<span> miles per hour, so her time was
</span><span>
</span>where

<span>is the time she spent driving the first 150 miles.
</span>
On the second half of the trip, she drove at <span>1.25x</span> miles per hour. There, the equation would be

where

is the time she spent driving the second 150 miles.
Solve both of those equations for the t<span> variables, then add them together. Your answer will be
</span>