Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as
. So let's plug in known values:

Multiply both sides by x

divide both sides by sin(43)

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

simplify the fraction

I’m not sure if it’s add or multiple the sides of each I don’t know if this even helped lol
Answer:

Step-by-step explanation:
We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.
We know that direction of vector with components
can be determined by
.
Upon substituting the components of given vector in above formula, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the direction angle for vector v is 31 degrees.
Answer:
D
Step-by-step explanation:
0=3x-7
0=3x+7
7=3x/3
7/3=x
Answer:
B
Step-by-step explanation:
x³ + y³ ← is a sum of cubes and factors in general as
x³ + y³ = (x + y)(x² - xy + y²)
with trinomial factor (x2 - xy + y2) → B