4 units = blue
1 unit = yellow
total: 5 units = 40
1 unit = 40 ÷ 5 = 8
yellow: 8
blue: 8×4 = 32
Answer:
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Step-by-step explanation:
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Answer: “A” Opportunity cost is “the value of an investment opportunity you pass up in order to take another investment opportunity .” It’s pretty much the sacrifice you make to do something else.
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.
Answer:
a) F= 4
i + 4
j
b) Θ=11.3
c) The work done is 20
Step-by-step explanation:
a) ||F||=8, α=π/4
Fx=||F||·sin(π/4)=8·
Fy=||F||·cos(π/4)=8·
F=Fx i + Fy j = 4
i + 4
j
b) We can find the value of Θ using the equation:
cos(Θ)=
where:
D= 3 i + 2 j
F=4
i + 4
j
The dot product is defined as the sum of the products of the components of each vector as:
F · D= 
||F||= 8
||D||= 
Hence:
Θ=arccos(
)
Θ=arccos(0.981)
Θ= 11.3°
c) Work is equal to:
F · D=
=28.3
Other way of obtainig the work is:
||F||||D||cos(Θ)
where:
||F||= 8
||D||= 
Θ=11.3°
So, ||F||||D||cos(Θ)=8×
×cos(11.3°)=28.3
Answer:
x = 45/4
Step-by-step explanation:
2x - 3/4 + x = 2x + 3/2 + 9
- 3/4 + x = 3/2 + 9
- 3/4 + x = 21/2
x = 21/2 + 3/4
x = 45/4