Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:

In this case you can identify that:


Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:

The length of the wooden board is: 12.20 feet.
Answer:
1/2
Step-by-step explanation:
(2,1)(4,2)
x1-y1/x2-y2
slope:m=1/2
<span>2(8x - 4) = 32 distribute through parenthesis
16x - 8 =32 add 8 on both sides to isolate x
16x = 40 divide by 16 on both sides to isolate x
x= 40/16 simplify, Divide 40 by 16
x = 2.5 this is your final answer, I hope it helps!</span>
Answer:
5000
Step-by-step explanation:
Since we’re trying to find minutes, concert all known information to minutes
1 hr 15 mins = 75 mins
1 hr 30 mins = 90 mins
Next, calculate how many total minutes Gage has skated in the first 8 days
75(5) + 90(3) = 645 mins
Create an equation to find the average of Gage’s minutes of skating. Add up all the minutes and divide by the total amount of days and set equal to 85, the average we are trying to get.
(645 mins + x mins)/9 days = 85
Solve for x
645 + x = 765
x = 120
So, in order to have an average of an 85 minute skate time, Gage would need to skate 120 minutes on the ninth day.