Because Line 1 is parallel to Line 2, angle "a" should also be 46 degrees. b is complementary so it would be 180-46=134(degrees).
The area formula of a circle is
× π.
With that being said, we can solve both problems!
Starting with part A:
-The radius we know is 21cm. From there, we can substitute in our formula with the new value.
x π
From there, we can square our radius:
(21 x 21) x π
(441) x π
And finally, we can multiply by pi to get our answer.
(441) x π
1385.44236023
Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.
The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!
<em>Hope this helped! :)</em>
Answer:
The expression that represents the population of elk is:
. It'll take 6 years for the population to reach 1,458 individuals.
Step-by-step explanation:
Since the number of elks triples every year and starts at
, then after the first year the population will be:

While on the second year, it'll be:

On the third year:

And so on, therefore the expression that describes the population of elk as the years passes is:

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

The population will reach 1,458 elk in 6 years.
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
<h2>7.5%</h2>
Step-by-step explanation:

