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Answer:
12/5
Step-by-step explanation:
tan is given by the opposite side divided by the adjacent side, so:
tan = 24/10 = 12/5
Answer:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Step-by-step explanation:
On plotting on graph all form right angled triangle.
Dimension of all triangles and tanФ
- Base=2 Height=5 tanФ 2.5
- Base=5 Height=3 tanФ 1.6
- Base=8 Height=5 tanФ 1.6
- Base =2.5 Height=4 tanФ 1.6
[Here base and height can be interchanged if needed]
Ratio of perpendicular and base of last two triangle is equal.
First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .
Their coordinates are:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Let's first calculate the roots of f(x) = x³-18x²+101x-180
a) f(4) = 4³ - 18.(4²) +101.(4) -180 =0, then x=4 is a root.
b) to find the 2 other roots divide x³-18x²+101x-180 by (x-4) = x²-14x+45
c) this quadratic equation has the following roots: x=5 and x=9. Hence:
f(x) = x³-18x²+101x-180 = (x-4)(x-5)(x-9)
the x-intercepts are x₁ = 4, x₂ = 5, x₃ = 9.
To find the y intercept plug x= 0 in f(x) = x³-18x²+101x-180
f(x) = y = -180 (y intercept
The graph starts from - ∞ to + ∞ and passes through one maximum and one minimum
Answer: Each golf ball weights 45.93g
Step-by-step explanation:
divide 551.16 by 12