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A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach?
a. 8 ft
b. 10 ft
c. 12 ft
d. 14 ft
c. The ladder creates a right triangle with the building. The length of the ladder is the hypotenuse and the distance from the base is a leg. The question asks you to answer for the remaining leg of the triangle, or how far up the building the ladder will go. Using the Pythagorean theorem: 92 + b2 = 152; 81 + b2 = 225; b2 = 225 - 81; b2 = 144; b = 12.
Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).
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why is a complimentary angle 90 degres
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limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
Round 14.851 to the nearest tenth? The tenths place is the ?rst number to the right of the decimal. Here the number 8 is in the tenths place. To decide whether to round up or
A number x is chosen at random from the numbers -3, -2, -1, 0 1, 2, 3. What is the probability that | x| Ans : x can take 7 values To get |x| Probability (| x |
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