Answer:
a =12*sqrt(2)
Step-by-step explanation:
3. The Pythagorean theorem states
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +21^2 = 27^2
a^2 +441 =729
Subtract 441 from each side
a^2 +441-441 = 729 -441
a^2 =288
Take the square root of each side
sqrt(a^2) = sqrt(288)
sqrt(xy) = sqrt(x)sqrt(y)
a = sqrt(144)sqrt(2)
a =12*sqrt(2)
Answer:
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Step-by-step explanation:
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Given:
Employee earns $10.90 per hour for the first 40 hours he works in 1 week.
He is paid 1.5 times that rate for each additional hour that he works.
To find:
How much money does he earn working for 43 hours in 1 week?
Solution:
Earning for first 40 hours = $10.90 per hour
Earning for additional hours after 40 hours = 1.5 × $10.90 per hour
= $16.35 per hour
In 43 hours, 3 hours are additional after first 40 hours.
Earning for first 40 hours = 40 × $10.90
Earning for additional 3 hours = 3 × $16.35
Now,
Therefore, the total earnings for 43 hours in a week is $485.05.
Answer:
r=d/t
Step-by-step explanation:
Step 1: Flip the equation.
rt=d
Step 2: Divide both sides by t.
rt/t=d/t
r=d/t