The number of people attended dinner is 102.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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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:
365
Step-by-step explanation:
alright so technically everybody says it is 365 days so there you go
Answer:
45.5
Step-by-step explanation:
Use pyth theorem to find the whole bottom side. Then sub 16 by 13. # is the small segmented area. The small segmented tri is 10.5 area. The big tri is 56. Sub 10.5 from 56 to get 45.5.
