Answer:
t = 2secs
Step-by-step explanation:
Given the height above the surface expressed as h = -16t^2 + 64 t + 80.
The velocity of the rocket at its maximum height is zero. Hence;
v(t) = dy/dt = 0
dy/dt = -32t + 64
0 = -32t + 64
32t = 64
t = 64/32
t = 2secs
Hence the rocket will hit the lake after 2 secs
Answer:
about 137 degrees
Step-by-step explanation:
see attached picture
Answer: Weeeell, 35
Step-by-step explanation:
1. By definition, the perimeter of a triangle is the sum of the lenght of each side.
2. Then, the perimeter of the triangle LMK is:
P_{LMK}=14+17+11\\P_{LMK}=42
3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.
4. Then, you have that the perimeter of the triangle GHJ is:
P_{GHJ}=42*\frac{5}{6}=35
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Answer:
table C
Step-by-step explanation:
The constant of proportionality k= y/x
table C shows constant proportionality :
90/9=140/14=240/24=10
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
