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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.
Let u = sin(x). Then du = cos(x) dx. So you can now antidifferentiate e^u du. This is e^u + C = e^sin(x) + C. Then substitute your range 0 to pi. e^sin (pi)-e^sin(0) =0-0 =0
An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month
Question: Use Gauss elimination method to solve the following system of equations. -y +3z=4 2x-y-2z= 2 2x-2y+z =6 4x-y-7z= 0
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
Is this given matrices are called equal Matrices?
I need to follow the pattern .125,.25,.375,.5, ?
Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of
Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser
Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?
round 64 to the nearest 10
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