Answer: Choice A, -1540 feet
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Explanation:
Multiply the rate (44 ft per sec) by the number of seconds (35) to get 44*35 = 1540
The answer will be negative to indicate that the altitude has gone down. If you put in a positive change, then the altitude would go up. So that's why the answer is choice A
Note: when you multiply 44 ft/sec by 35 sec, the "second" units cancel out leaving just feet.
Another note: if you want, think of the 44 as -44 to indicate that the plane is decreasing at a rate of 44 ft/sec
The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.
To determine the measure of side length EF, you must find the relationship between the 2 side lengths.
You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.
Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.
Just take the horse to the old town road
Yeah dang i have no idea. great question tho
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
