Answer:
The angle between the ladder and the wall is of approximately 32 degrees 
, which agrees with the answer marked as "B" in the list of options.
Step-by-step explanation:
Notice that the wall and the floor make a right angle, and the ladder lining against the wall makes the hypotenuse of a right angle triangle.
See the attached image for explanation, and for the angle 
that we are trying to find, which is formed between the ladder and the wall.
Notice as well that the 8 ft section of the wall, is an "adjacent" side of the angle , and that the 5 ft segment between the wall and the base of the ladder is the "opposite" side to the angle.
We can then use the "tangent" of the angle which is defined as the quotient between the opposite side divided the adjacent side to investigate the measure of the angle . We will use the "arctangent" to solve for the angle:
which can be rounded to 
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
Venus is a planet, hence is spherical shaped.
Formula for Volume of a Sphere: 4/3πr^2
Apply this formula
4/3π(3760.4)^2=59232040.95 miles^3
Answer:
Step-by-step explanation:
The area of a rectangle is given by 
where 
is the length of the rectangle and 
is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:
.
The perimeter of a rectangle is given by 
. Therefore, the perimeter of the rectangle is:
.
I think it’s the last one
