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
Answer:
<em>d</em><em> </em><em>.</em><em> </em><em>49</em>
Step-by-step explanation:
<em>180-131</em><em> </em><em>(</em><em> </em><em>supplementary</em><em> </em><em>angle</em><em>)</em>
<em>=</em><em> </em><em>49</em><em>°</em>
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = 9, d = 8 in the equation
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Answer: ↓↓↓
Step-by-step explanation:
1. EF || HG, HE || FG
2. Reflexive Property
3. Alternate Interior Angles
4. SAS
