Answer:
The second time when Luiza reaches a height of 1.2 m = 2 08 s
Step-by-step explanation:
Complete Question
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.
H(t) = -0.6 cos (2pi/2.5)t + 1.5.
What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.
Solution
Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as
H(t) = -0.6cos(2π/2.5)t + 1.5
What is t when H = 1.2 m
1.2 = -0.6cos(2π/2.5)t + 1.5
0.6cos(2π/2.5)t = 1.2 - 1.5 = -0.3
Cos (2π/2.5)t = (0.3/0.6) = 0.5
Note that in radians,
Cos (π/3) = 0.5
This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,
Cos (5π/3) = 0.5
So,
Cos (2π/2.5)t = Cos (5π/3)
(2π/2.5)t = (5π/3)
(2/2.5) × t = (5/3)
t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.
Hope this Helps!!!
Answer:
x= 8 inches
Step-by-step explanation:
you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-
dimensions of the box:
12 in x 2 in x ?
=272 square inches
and we know that there are 6 faces
area= 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Answer:105
Step-by-step explanation:55-66=74 74times
Kacie has a balance of $10,000 on a loan with an annual interest rate of 8%. To pay off the $10,000 in four years, Kacie will have to make a minimum payment is $244.13 per month. How much will kacie pay in interest over the four year period?
A.) $1.088.20
B.) $1,718.24
C.) $2,971.99
D.) $11,718.24
Answer:
$54
Step-by-step explanation:
An expression for the total cost would be:
1($32) + ($32-$10) = $32 + $22 = $54