Answer: 875
Step-by-step explanation:
Answer:
Here it is. The table is on the first one at the bottom.
Step-by-step explanation:
Answer:
∠2 = 51°
Step-by-step explanation:
The sum of supplementary angles = 180°
Equate the sum of the angles to 180 and solve for a
11a + 19 + 6a - 9 = 180
17a + 10 = 180 ( subtract 10 from both sides )
17a = 170 ( divide both sides by 17 )
a = 10
Hence
∠2 = (6 × 10) - 9 = 60 - 9 = 51°
Answer:
linear function growth rate: 8.5
Step-by-step explanation:
The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)
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The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...
g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8
It is a constant.
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters