8.07 X 5.3 help me please
1 answer:
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Let and
be these consecutive integers. For some base
, we can write
If
then
Now,
Squaring both sides gives
and so
(because the base has to be non-zero)
Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:
a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:
Simplify exponents:
Isolate the variable. Subtract 225 from both sides:
Find the square root of both sides:
The missing leg length is 8.