Answer:
(a) The time to complete 1 cycle and return is 16/3
(b) The minimum height is 30 inches and the maximum is 54 inches
Step-by-step explanation:
Given
Solving (a): Time to complete 1 cycle and return
This implies that we calculate the period. This is calculated using:
Where:
So, we have:
Solving (b): The maximum and the minimum height
To do this, we have:
Which means:
So, the minimum is:
And the maximum is:
Recall that the height is:
So, the maximum and the minimum of are:
and
Answer:
x = 4
Step-by-step explanation:
note the exact value of tan60° =
Since the triangle is right use the tangent ratio to find x
tan60° = =
multiply both sides by x
x × = 4
divide both sides by
x = = 4 × = 4
Answer:
x + y = 4,000
0.1x + 0.04y = 352
Step-by-step explanation:
Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.
Turn 1 7/8 into 15/8
15/8 times 4/5 is60/40
60/40 is 1.5