Answer:
The answer to your question is 39 lb
Step-by-step explanation:
Data
Force = 60 lb
angle = 40°
vertical component = ?
Process
To answer this question, we must imagine a right triangle where the force gave is the hypotenuse, and the vertical component will be the opposite side to the 40° angle.
1.- Look for a trigonometric function that relates the opposite side and the hypotenuse
sin Ф = Opposite side / hypotenuse
- Solve for Opposite side
Opposite side = hypotenuse x sin Ф
- Substitution
Opposite side = 60 x sin 40
- Simplification
Opposite side = 60 x 0.64
- Result
Opposite side = 38.56 ≈ 39 lb
We have been given an expression 
. We are asked to factor the given expression by grouping.
First of all, we will make two groups of our expression as:
Now we will factor of greatest common factor from each group.
Now we will factor out common terms 
as:
Therefore, the factorized form of our given expression would be .
Answer:
8 slices
Step-by-step explanation:
of pizza widnwksdbwn
Answer:
55+8.5x=123
Step-by-step explanation:
The 55 represents the flat fee, the 8.5 represents the daily charge, x represents the number of days she rented it for, and 123 is the total amount
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
