Using the law of cosine:
Cosine(angle) = Adjacent leg / Hypotenuse
You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.
Using the formula above you have:
Cosine(58) = 17 / x
Solve for x by dividing 17 by cos(58)
x = 17 / cos(58)
x = 32.08
Answer:
<em>y=-6</em>
Step-by-step explanation:
<em>Geometric Sequences</em>
Any given sequence is said to be geometric if each term
can be obtained as the previous term
by a constant value called the common ratio.

or equivalently

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios
and we see they both result -3. If we use r=-3 and try to find the second term (y), then
y=2*(-3)=-6
Now we compute the third term: (-6)(-3)=18
Since we got the third term as given in the original sequence.
So y=-6
Answer:
x =7, y = 3
Step-by-step explanation:
We substitute the value of x in terms of y (given) into the equation.
Then we solve for y and plug in the value of y back into the equation for the value of x to find x.
He plans to work 14 hours.
Here's the equation:
490-98= 392
392 divided by 28= 14 hours