Answer:
- h = 0 when the ball hits the ground
- about 3.464 seconds
Step-by-step explanation:
The formula gives h = 192 when t=0, so we assume that h represents the height above the ground. The ball will have a height of 0 when it hits the ground.
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Using that in the equation, we can solve for t.
0 = 192 -16t^2
0 = 12 -t^2 . . . . . . divide by 16
t^2 = 12 . . . . . . . . add t^2
t = √12 = 2√3 ≈ 3.464 . . . . take the square root
It will take 2√3 seconds, about 3.464 seconds, for the ball to hit the ground.
Answer:
24 units
Step-by-step explanation:
In this problem, the area of this shape is measured in units.
1 unit = 1 little square
So, lets count all of the full squares. There are 20 of them.
Now lets count all of the half squares. There are 8 half squares.
Now, if we divide 8 over 2, we get 4 full units.
Now we just add up the units: 20 + 4 = 24 units
Hope this helps!
<h3>
Answer: 35 inches</h3>
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
Answer:
1) the angles are congruent, or the same
2) the angles are complementary, or add up to 90 degrees
3) the angles add up to 180 degrees
4) the angle is a right angle
5) they are congruent
6) they are complementary angles, or add up to 90 degrees
7) they are supplementary angles, or add up to 180 degrees
8) angle 1 is congruent to angle 4
9) angle K is supplementary to angle L
Step-by-step explanation:
8 and 9 are transitivity
The other statements correspond with the sentence starters.
