<h3>
Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.
Answer:
20ln(3)
Step-by-step explanation:
Put 15 for A and solve for t.
15 = 45e^(-.05t)
15/45 = 1/3 = e^(-.05t) . . . . divide by 45
ln(1/3) = -.05t . . . . . . . . . . . take natural logs
20ln(3) = t . . . . . . . . . . . . . . multiply by 20, simplify
It will take 20·ln(3) years for the area to decrease to 15 km^2.
Answer:
CLICK THE ADD ATTACHMENT
Step-by-step explanation:
Answer:
second one
Step-by-step explanation:
Answer:
4.11 * 10⁷ square miles
Step-by-step explanation:
Let P = pacific ocean
A = Atlantic ocean
P = 63,780,000 = 6.38 * 10⁷
Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,
The area of A = 6.38 * 10⁷ - 2.27 * 10⁷
The area of the atlantic ocean = 4.11 * 10⁷ square miles
