One of the roots of the equation 5x2−36x+t=0 is five times as big as the other root. Find the value of t.
1 answer:
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First, we are going to use the formula of the circumference of a circle: 
where
is the circumference of the circle.
is the radius of the circle.
We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be:
. Lets replace that value in our formula:
miles
Next, we are going to use the distance speed time formula:
where
is time
is distance
is speed
We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore,
. We also know for our previous calculation that the circumference of the crater is 3.14 miles, so 
. Lets replace those values in our formula to find :
hours
We can conclude that it will take Latisha 1.6 hours <span>to walk all the way around the crater.</span>
where
We know for our problem that the diameter of Ubehebe Crater is 1 mile. Since the radius of a circle is half its diameter, the radius of our crater will be:
Next, we are going to use the distance speed time formula:
where
We know for our problem that Latisha walks around its rim at a rate of 2 miles per hour, so her speed is 2 mph; therefore,
We can conclude that it will take Latisha 1.6 hours <span>to walk all the way around the crater.</span>