Answer:
2.44 miles
Step-by-step explanation:
Give the following :
Average miles to school = 12 miles per hour
Average Miles from school = 15 miles per hour
Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667
Recall:
Speed = distance / Time
Time = distance / speed
Let distance = d
For the scenario described :
d/12 + d/15 = 0.3667
(5d + 4d) / 60 = 0.3667
5d + 4d = 22
9d = 22
d = 22/9
d = 2.44 miles
Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.
or 
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
According to the empirical rule, roughly 68% of the scores fall between z = -1 and z = 1
You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
Alright, so for AB and CD to be parallel, CX and DX would have to be equal, as is with AX and BX. In addition, for CD and AB to be parallel, all sides in both triangles are either equal or not all sides in even one triangle are equal. Therefore, CD is not 3. In addition, two sides of a triangle combined must be greater than the third, so that leaves 5, 4, and 2 for CD. If it was 5, that would mean that all sides are equal, so that leaves 4 and 2. However, I don't see anything to prove either one right, sorry:/
Answer:
This is not a right triangle because 7^2 + 17^2 does not equal 20^2
Step-by-step explanation:
