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SSSSS [86.1K]
3 years ago
5

Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place

Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

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Step-by-step explanation:

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What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
12345 [234]

\huge\text{$k=\boxed{117}$}

\displaystyle\frac{k}{3}-5=34

To find the value of k, we need to isolate it on one side of the equation. Add 5 to both sides of the equation, then multiply both sides of the equation by 3.

\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}

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