= <u>187.3 yards</u>
Step-by-step explanation:
The set-up will represent a triangle whereby the :
- Width = Height = 150 yards
- Diagonal = Hypotenuse = 240 yards
- Length = Base = ?
I think its 61.64 im not 100% sure but I hope this helps
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
To make a prediction as to how much you can climb in 5 hours we can find the line of regression (or line of best fit) for the data given, with time as the explanatory (or independent) variable and height as the response (or dependent) variable. Putting this data into the calculator we get:
Height (ft) = 33.153 + 2.333*Time (min)
Now if we want to predict the distance you are able to climb in 5 hours, we need to convert this to minutes first (as those are the units in the formula) - 5 hours = 300 minutes, thus:
Height (ft) = 33.153 + 2.333*300
= 733.053 ft
733.053 < 1000, therefor it is predicted that it will not be possible to climb a 1000 ft rock formation within 5 hours
