Answer:
B
Step-by-step explanation:
Evaluate the numerator/ denominator using order of operations
numerator = 16 + 2(4 × 2)
using the order parenthesis, multiplication followed by addition
= 16 + 2(8) ← evaluating parenthesis
= 16 + 2 × 8
= 16 + 16 ← performing multiplication
= 32 ← addition
denominator = 8 + 2³
using the order exponents then addition
= 8 + 8 ← evaluating exponent
= 16 ← addition
Hence
=
= 2 → B
Answer:

Step-by-step explanation
The given point
tells us that the terminal side of
is in the fourth quadrant.
From the diagram in the attachment,
We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.
Let the hypotenuse be
. Then,




Now we use the sine ratio;
.
But since the terminal side of
is in the fourth quadrant, the sine ratio must be negative.
This implies that;
.
We rationalize the denominator to get;
.
Since this is a right triangle, we can use Pythagorean theorem. Pythagorean theorem is a^2 + b^2 = c^2
a = one leg of the triangle
b = the second leg of the triangle
c = the hypotenuse of the triangle
in this problem,
a = 8 in
b = 6 in
c = ?
We need to plug our numbers into the pythagorean theorem and solve for c
8^2 + 6^2 = c^2.
Square each term on the left side.
64 + 36 = c^2
Add the terms together on the left side.
100 = c^2.
Take the square root of each side
10 = c
The missing side is 10 inches
The only step that arena make wrong is step number 2