9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
The derivatives for this problem are given as follows:
a) 
b) 
.
<h3>What is the derivative of the sum?</h3>
The derivative of the <u>sum is the sum of the derivatives</u>.
In this problem, the function is:
Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:
What is the product rule?
The derivative of the product is given as follows:
In this problem, we have that:
.
.
Hence the derivative is:
.
More can be learned about derivatives at brainly.com/question/2256078
#SPJ1
Answer: -75
Explanation: In this problem, we're given the function f(x) = 7x - 5 and we're asked to find f(-10).
To find f(-10) or the value of the function when <em>x = -10</em> we simply substitute -10 in for <em>x</em> in our function.
So we have 7(-10) - 5 or -70 - 5 which equals -75.
So f(-10) or the value of the function when <em>x</em> <em>= 10</em> is -75.
Since your answer to this problem was <em>a</em>, your answer is correct.
Answer:
690
Step-by-step explanation:
the 8 is in the tens place
so we look at the 9
it is 5 or higher
so we round the 8 up to 9
690
