Mathematics: What is the length of be in the right angle

Let J and K be the times of Jeff and Kirk respectivelyTo know the time it takes two people to perform a task together use the equation:We also know from the problem that J=K-1, soNow get common denominatorsTake reciprocalsBy the quadratic equation:K=20.512J=K-1=19.512Putting these into the original formula for two people working together on a taskSo it checks out....

What is the length of be in the right angle - id1058406, oneicyahdaley10

Ответ:

ahicks2004

13.03.2022

Mathematics

|BC| is found using the Pyth. Thm.

16^2 + 12^2 = |BC|^2
256 + 144 = 400

Thus, |BC| = sqrt (400) = 20

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Ответ:

taylorb9893

08.12.2021

Mathematics

Let J and K be the times of Jeff and Kirk respectively
To know the time it takes two people to perform a task together use the equation:
$\frac{1}{J}+ \frac{1}{K}= \frac{1}{10}$
We also know from the problem that J=K-1, so
$\frac{1}{K-1}+ \frac{1}{K}= \frac{1}{10}
$
Now get common denominators
$\frac{K}{K(K-1)}+ \frac{K-1}{K(K-1)}= \frac{1}{10}$
$\frac{K+K-1}{K(K-1)}= \frac{1}{10}$
Take reciprocals
$\frac{K(K-1)}{2K-1}=10$
K(K-1)=10(2K-1)

$K^{2} -K=20K-10$
$K^{2} -21K+10=0$
By the quadratic equation:
K=20.512
J=K-1=19.512
Putting these into the original formula for two people working together on a task
$\frac{1}{20.512}+ \frac{1}{19.512}= \frac{1}{10}$
So it checks out.

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What is the length of be in the right angle

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