Answer:4.068
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
Hit 'em with the Law of Sines.
sin(A)/a = sin(B)/b.
Let's say x is equal to "A", thus 5 is "a".
sin(x)/5 = sin(B)/b.
We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + 20^2 = c^2
25 + 400 = 425
sqrt(425) = about 20.6, which we can now substitute "b" with.
sin(x)/5 = sin(90)/20.6
sin(x)/5 = 1/20.6
sin(x)/5 = 0.04854...
sin(x) = 0.2427...
You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.
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:
2(7) + 5 = 19
Step-by-step explanation:
Okay, so do it like this:
2x+5
x = 7
2(7) + 5
2(7) = 2 x 7
2 x 7 = 14
Now it's 14 + 5
14 + 5 = 19
Your answer is 2(7) + 5 = 19
