Answer:
<h2>The side DE is 4.2 units long, approximately.</h2>
Step-by-step explanation:
In the given triangle, side DE is the hypothenuse. So, we can use Pythagorean's Theorem, where both legs are 3 units long.
Therefore, the side DE is 4.2 units long, approximately.
Answer:
530.66 cm^2.
Step-by-step explanation:
Area = 3.14 *r^2
= 3.14 * 13^2
= 530.66 cm^2
Answer:
a)
We know that:
a, b > 0
a < b
With this, we want to prove that a^2 < b^2
Well, we start with:
a < b
If we multiply both sides by a, we get:
a*a < b*a
a^2 < b*a
now let's go back to the initial inequality.
a < b
if we now multiply both sides by b, we get:
a*b < b*b
a*b < b^2
Then we have the two inequalities:
a^2 < b*a
a*b < b^2
a*b = b*a
Then we can rewrite this as:
a^2 < b*a < b^2
This means that:
a^2 < b^2
b) Now we know that a.b > 0, and a^2 < b^2
With this, we want to prove that a < b
So let's start with:
a^2 < b^2
only with this, we can know that a*b will be between these two numbers.
Then:
a^2 < a*b < b^2
Now just divide all the sides by a or b.
if we divide all of them by a, we get:
a^2/a < a*b/a < b^2/a
a < b < b^2/a
In the first part, we have a < b, this is what we wanted to get.
Another way can be:
a^2 < b^2
divide both sides by a^2
1 < b^2/a^2
Let's apply the square root in both sides:
√1 < √( b^2/a^2)
1 < b/a
Now we multiply both sides by a:
a < b
Answer:
1.00 one is the answer ghbcjxtk NC fygvcgu HD drthh
Answer:
$18,000
Step-by-step explanation:
9% of 10,000 is 900.
900 (annual interest) x 20 (years)= 18,000
