Step-by-step explanation:
Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.
Answer:
x = 24°
Step-by-step explanation:
To find 'x', the Alternate Exterior angle postulate will need to be used.
'4x + 9' and '2x + 27' are alternate exterior angles. Therefore, they must sum up to 180.
180 = 4x + 9 + 2x + 27
Combine like terms:
180 = 6x + 36
144 = 6x
x = 24°
Answer:
B
Step-by-step explanation:
If a=2, then a+5 is still less than 8. This counter example proves that b is not less than 5, but is less than 6.
Answer:
Step-by-step explanation:
Question not written well
The equation of the ball is meant to be in a parabola or trajectory form.
So, h = -4.912t² + 24.5t + 1
The ball will hit the ground when the height is 0
I.e. h= 0
Therefore,
-4.912t² + 24.5t + 1 = 0
Using almighty formula,
a = -4.912 b = 24.5 c = 1
t = (-b±√b²-4ac) / 2a
t = (-24.5±√24.5²-4×-4.912 × 1) / 2 × -4.912
t = (-24.5±√600.25 + 19.648) / 9.824.
t = (-24.5 ± 24.898) / 9.824
So,
t = (-24.5 + 24.898) / 9.824
t = 0.398 / 9.824
t = 0.04seconds
Or
t = (-24.5 - 24.898) / 9.824
t = -5.03 seconds
So, we are going to discard the negative time,
t = 0.04 second is the correct time the ball will hit the ground
9514 1404 393
Answer:
A. 266.13 mL
Step-by-step explanation:
The number of milliliters in 9 fluid ounces will be 9 times the number in 1 fluid ounce.
(9 floz)(29.57 mL/floz) = 266.13 mL