Answer:
w = - 
Step-by-step explanation:
3 1/4 = 1/2 + w
Cross Multiply
31(2 + w) = 4
Divide both sides by 31
=
(simplify) -> 2 + w = 
Subtract 2 from both sides
2 + w - 2 +
- 2 (simplify) -> - 
w = - 
The second one, 69/24 = 23/8 and cannot be simplified further
Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (
), the opposite leg is the height the ladder will reach
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle 
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:


Isolating
:

Adding to this height the extra height of
(since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach
Answer:
B. y = x - 2
Step-by-step explanation:
The sale price (y) is $2 less than the original price (x - 2).
To test this out, if a book's original price is $10..
x = 10
Using y = x - 2 and to test out if it works, we'll plug in x = 10 to discover y.
y = 10 - 2
y = 8
Answer:
B. because the first one has 3 sides second has 4 third has 5 and B. has 6