9514 1404 393
Answer:
4.09 seconds
Step-by-step explanation:
The ball is in the air until h(t) = 0. Solving that equation for t, we have ...
0 = -16t^2 +64t +6
t^2 -4t = 3/8 . . . . . . rearrange, divide by 16
t^2 -4t +4 = 4 3/8 . . . add 4 to complete the square
(t -2)^2 = 4.375 . . . . write as a square
t = 2 +√4.375 . . . . . positive square root, add 2
t ≈ 4.09165
The ball was in the air about 4.09 seconds.
Answer:
60 degrees
Step-by-step explanation:
First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)
This works out to 180(4-2)=360 degrees.
Now we can set up the following equation as:
2(120)+2x=360 Subtract 240 from both sides to get:
2x=120 Divide by 2 to get:
x=60 degrees
Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.
Makes sense?
In Euclidean geometry, the sum of the measures of the interior anlges of a pentagon is 540°.
The sum of the measures of the interior angles of a pentagon would be different in spherical geometry because A.) THE SUM WOULD BE GREATER THAN 540°