The answer to this question is true
Answer:
13.708
Step-by-step explanation:
9 : 2 = 18 : 4
As: 9 x 2 : 2 x 2 = 18 : 4
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36 : 8 = 18 : 4
As: 18 x 2 : 4 x 2 = 36 : 8
--------------------
72 : 16 = 18 : 4
As: 18 x 4 : 4 x 4 = 72 : 16
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Rate for Sally is 1 room per 8hrs
rate for Steve is 1 room per 7hrs
combined rate:
1/8 + 1/7 = 1/T
7/56 + 8/56 = 1/T
15/56 = 1/T
56/15 = T
3 11/15 = 3 hrs 44 min
