<span>Two cylinders are shown. One is 216in^3 and one is 343in^3. Divide the smaller number (216) by the larger number (343). The answer is .629. That means that the smaller figure is approximately 63% the size of the larger figure.</span>
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
Answer: X= -7
Step-by-step explanation: A negative time a negative is a positive so -12x-7 is equal to 84. 84 plus 16 is equal too 100.
Answer
Find out the how long will it take the submarine to descend to the ocean floor
To proof
Formula
where d = distance traveled (or descended),
r = rate of travel , t = time
As given
A submarine descends at a rate of 2.6 kilometers per hour. If the ocean floor is 6.24 kilometers below sea level .
put all the values in the above formula
t = 2.4 hour
it take 2.4 hours the submarine to descend to the ocean floor .
Hence proved
Answer:
7
Step-by-step explanation:
We have that x1=−1, y1=5, x2=3, y2=7.
Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=5−(12)(−1)=112
Finally, the equation of the line can be written in the form y=b+mx:
y=112+x2
ANSWER
