9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
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<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.
Given that the concentration has been modeled by the formula:
C(t)=50t/(t^2+25)
where:
t is time in hours.
The concentration after 5 hours will be given by:
t= 5 hours
plugging the value in the equation we get:
C(5)=(50(5))/(5^2+25)
simplifying the above we get:
C(5)=250/(50)=5 mg/dl
Answer: 5 mg/dl
We know, C = 2πr
So, 34.5 = 2 * 3.14 * r
r = 34.5 / 6.28
r = 5.49 m
In short, Your Answer would be 5.49 m
Hope this helps!
Answer:
-2x - (-5 - 4x) = -5(2x - 7)
-2x + 5 - 4x = -5 * 2x - 5 * (-7)
-6x + 5 = -10x - 35
-6x + 5 + 10x = -10x - 35 + 10x
4x + 5 = -35
4x + 5 - 5 = -35 - 5
4x = -40
4x/4 = -40/4
x = 10
Step-by-step explanation: