Answer:
The number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.
Step-by-step explanation:
We will use the sin function for the height of the Ferris wheel.
A = amplitude
C = phase shift
D = Vertical shift
2π/B = period
From the provided information:
A = 15/2 = 7.5 m
Compute the Vertical shift as follows:
D = A + Distance of wheel from ground
= 7.5 + 1
= 8.5
The equation of height is:
Now at <em>t</em> = 0 the height is, h (t) = 1 m.
Compute the value of <em>C</em> as follows:
So, the complete equation of height is:
Compute the number of minutes of the ride that are spent higher than 15 meters above the ground as follows:
h (t) ≥ 15
Thus, the number of minutes of the ride that are spent higher than 15 meters above the ground is 18 minutes.
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
Answer:
Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Step-by-step explanation:
The amount spent on supplies is $20.
The number of cookies baked is = 50.
If the profit to be made is more than $25.00 .
Then we can safely say that all the cookies have to be sold for
= $20.00 + $25.00
= $45.00
Therefor the required inequality can be written as
50 x ≥ $45.00 ⇒ x ≥ ⇒ x ≥ $0.90.
Therefore we can say that each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Answer:
4 dollars and 3 quarters
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Variables:
L = length
W = width
P = perimeter
Equations:
L = W + 13
P = 2(L + W)
P = 2(W + 13 + W)
2(W + 13 + W) = 226
2(2W + 13) = 226
2W + 13 = 113
2W = 100
W = 50
L = W + 13 = 50 + 13 = 63
The length is 63 cm, and the width is 50 cm.