For the first one it’s either negative as it’s going down or it’s none as it’s usually a straight line. if it was positive the line would be going up
Answer:
9' - 1.29"
Step-by-step explanation:
Total rise = 5' - 2"
Total run = 7' - 6"
1' = 12" = 1 feet = 12 inches
5' = 5 * 12 = 60"
3' = 7 * 12 = 84"
Total rise = 60" + 72" = 62"
Total run = 84" + 6" = 90"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(62² + 90²)
Hypotenus = 109.28860"
Convwrting back to feet and inches
= 9' - 1.29"
The triangle in this problem is an equilateral triangle. Equilateral Triangles have 3 equal sides and 3 equal angles. So, the side of x is equal to 16.
Answer:
30 trees/acre
Step-by-step explanation:
Let n = the number of trees added to 1 acre
Let Y(n) = the yield in bushels/acre
Yield in bushels/acre = [bushels/tree] x [trees/acre]
Y(n) = (40-n)*(20+n)
= 800 - 20n + 40n - n^2
= n^2 + 20n + 800 ---------------------(1)
The n-value of the vertex ( which is a peak ) is given by the formula:
n(max) = -b/2a
Putting values from equation (1) gives us
n(max) = 10
The grower started with 20 tree/acre and adds 10 more for max yield, so she should plant: 30 trees/acre
and
Maximum yield is 900 bushels/acre.
width = 2n+8
length = 3 * width = 3*(2n+8) = 6n+24
Perimeter = 2(l+w)
= 2( 6n+24 + 2n+8)
= 2( 8n+32)
96 = 16n +64
-64 -64
--------------------------------------
32 = 16n divide by `16
2 = n
width = 2n+8 = 2*n + 8= 4 + 8 = 12
length = 3*width = 3*12 = 36
