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
Lets begin with our y=mx+b, our constant(b) is 800 that she earns as a salary, our x represents the amount she sells, m then represents the commission which is 8.25% so converting that to a decimal and replacing it as m gets us y = 0.0825x+800. Replace $4500 for x and we have y=0.0825(4500)+800 solve and we get $1171.25
Question 1)
there’s 180 degrees in a triangle
70 + 70 = 140
180 - 140= 40
A= 40
question 2)
there’s only one line of symmetry, down the middle
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
<h3>Volume of a cone</h3>
The volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
Therefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
learn more on volume here: brainly.com/question/20380818
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