In the right triangle shown, what is the cosine of angle C?
2 answers:
The cos(C) = 
we first need to find the actual lengths of the sides.. to do this we will use the Pythagorean theorem:
(x + 15)² + (x + 1)² = (x + 17)² and now after simplifying both sides and moving everything to one side we get the following quadratic equation:
x² - 2x - 63 = 0 and solving by factoring we get solutions of x = 9 and x = -7, but x = -7 does not make sense in this problem.
Using x = 9 we see the sides of the triangle are 10, 24, and 26
the cos(c) =
which is about 0.9231
we first need to find the actual lengths of the sides.. to do this we will use the Pythagorean theorem:
(x + 15)² + (x + 1)² = (x + 17)² and now after simplifying both sides and moving everything to one side we get the following quadratic equation:
x² - 2x - 63 = 0 and solving by factoring we get solutions of x = 9 and x = -7, but x = -7 does not make sense in this problem.
Using x = 9 we see the sides of the triangle are 10, 24, and 26
the cos(c) =
You might be interested in
Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula
where x is the number of inches of rainfall.
Differentiating with respect to x
Again differentiating with respect to x
Now we set N'(x)=0
Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
Answer:
the answer is contained in the attachment
Step-by-step explanation:
for complete explanation kindly check the attachment.
Answer:
Step-by-step explanation:
difference of a number and 9 means to subtract
twice that means multiply by 2
at least is greater than or equal to