Answer:
3
Step-by-step explanation:
Vlookup is a technique in excel which enables users to search for criterion values. It is vertical lookup function in excel which return a value from a different column. The formula for Vlookup function is:
=Vlookup'select cell you want to look up in' select cell you want to lookup from' select column index number' true/false.
where true is approximate match and false is exact match.
This is a vector problem so we will split it by components and add them.
x direction
200sin(240) + 60sin(25) = -147.847985
y direction
200cos(240) + 60cos(25) = -45.6215327
To find the actual speed we now find the magnitude
(-147.847985)^2 + (-45.6215327)^2 = c^2
c = 154.72669748 mph
To find the direction we can do arctan of the different directions:
arctan(-147.847985/-45.6215327) = 252.85 degrees.
So the plane is going 154.73 mph at 252.85 degrees :)
Answer:
200 students attended the basketball game
Step-by-step explanation:
The complete question in the attached figure
Let
x ------> the number of students in fourth grade
s -----> the number of students at the basketball game
we know that
The number of students at the basketball game is four times the number of students in fourth grade
so
The linear expression is
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y
therefore
200 students attended the basketball game
The solution would be like
this for this specific problem:
A = (l + 20) · (w + 10)
The area of the pool is 1800 square feet and can be computed
also like l · w. Then l · w = 1800, and therefore l = 1800 w.
We plug in the values:
A = (1800 / w + 20) · (w + 10) = 1800 + 18000 / w + 20w +
200 = 18000 / w + 20w + 2000
dA /dw = − 18000 / w2 + 20
w = 30
l = 60
Since A = (l + 20) · (w + 10):
A = (60 + 20) · (30+ 10)
A = 3,200
<span>A(x) = 1800 + 2*10(x+10)+ 2*5(1800/x) </span><span>
<span>= 1800 + 20x + 200 + 18000/x </span>
<span>= 2000 + 20 x + 18000/x </span></span>
<span>20 - 18000/x^2 = 0 </span><span>
<span>x = sqrt (900) = 30 </span>
<span>Pool length dimension = 1800/x = 60 </span>
Lot dimensions: 80 x 40</span>
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
