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:
the value of x is in the solution set of 4x-12<16=8x
Step-by-step explanation:
multiply the 4x take away from 12= 8x
Dax goes to the store to buy milk. There is a sale for milk, and it now costs 3 dollars since it was 60% off. What was the original price of the milk?
3 - 60
x - 100
Cross multiply
300=60x
5=x
The milk original cost 5 dollars.
Answer:
It depends on the size of the
Step-by-step explanation:
Like the width ,length and all that
give me the size of the pool and will assist
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be 
and 
.
