Answer:
The magnitude of the resultant force is:
The direction is:
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
<u>Sum of x-component vector forces.</u>
<u>Sum of y-component vector forces.</u>
The magnitude of the resultant force is:
The direction is:
I hope it helps you!
Answer:
The circumference of Dan's circle is approximately 50.27 inches.
Step-by-step explanation:
The length of the circumference (), measured in inches, is determined by the formula:
(1)
Where is the radius, measured in inches.
If we know that , then the length of the circumference is:
The circumference of Dan's circle is approximately 50.27 inches.
It will be positive 1/2x and an easy way to find multiplicative inverse is like this
5x would be 1/5x -5x would be -1/5x 3x would be 1/3x -3x would be -1/3x
so 2x would be 1/2x
Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is:
Answer:
A burger cost five times as much as a fries.
Step-by-step explanation:
Let F represent fries
Let b represent burgers
From the question:
An order of fries and five burger can be written as:
f + 5b
Three orders of fries and two burgers can be written as:
3f + 2b
But an order of fries and five burgers cost twice as much as three orders of fries and two burgers. This can be written as:
f + 5b = 2(3f + 2b)
Now, we shall make b the subject of the above equation. This is illustrated below:
f + 5b = 2(3f + 2b)
Clear bracket
f + 5b = 6f + 4b
Collect like terms
5b – 4b = 6f – f
b = 5f
Thus, a burger cost five times as much as a fries.