Answer:
60 mph because the cheetah runs at 4/3 of the lion's pace, which is 45 mph. 4/3 x 45 is 60.
C. 3:00 p.m.
Low tide occurred at 5:00 a.m. (t=5) and the graph shows that high tide occurred at both 12:00 a.m. (t=0) and 10:00 a.m. (t=10).
That means that between high tide and low tide, 5 hours pass (5-0=5 and 10-5=5).
So if the last high tide was at 10:00 a.m., the next low tide will happen another 5 hours later. 5 hours after 10:00 a.m. is 3:00 p.m.
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
£12.25 should be the correct answer.
Comment
We should try the very simplest way of finding triangular areas first.
Formula
A = 1/2 b * h
Substitute
Area = 60 in^2
b = x
h = 2x - 1
60= 1/2 * x * (2x - 1)
Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0
Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.
x - 8 = 0
x = 8
Area (Check)
base = 8
height = 16 - 1 = 15
Area = 1/2 * 8 * 15 = 60 as it should
Answer
Use Area = 1/2 * b * h to find the base and the height.
