URGENT MATH HELP BRAINLIEST
1 answer:
Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:
-The sides given are 10and 17 and the right angle 90°
Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°
Hence, the measure of w is 36.87°
You might be interested in
Answer:
Below, you can see the graph of the function:
f(x) = x + cos(k*x)
for different values of k, as follows:
red: k = 1
green: k = 2
orange: k = 0.
Now let's find the values of k such that our function does not have local maxima nor local minima.
First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).
This means that if:
f'(x0) = 0.
Then x0 is a maxima, minima or an inflection point.
Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.
Now we have:
f(x) = x + cos(k*x)
then:
f'(x) = 1 - k*sin(k*x)
This function will be zero when:
1 = k*sin(k*x)
1/k = sin(k*x)
now, remember that -1 ≤ sin(θ) ≤ 1
then if 1/k is smaller than -1, or larger than 1, we will not have zeros.
And this will happen if -1 < k < 1.
