2 years ago

ABC and ACD are both right angled triangles. a) explain why the length of AC is 13cm.

1 answer:

6 0

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Step-by-step explanation:

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Step-by-step explanation:

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate