A system of equations is shown below:
1 answer:
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Hi there! :)
So, to find the surface area, all you need to do is find the area of each surface on the shape.
Theres 5 different shapes in the model, so you're going to need to find the area of each one.
There is:
1. left side triangle
2.right side triangle
3.slanted rectangle
4.bottom rectangle
5. back rectangle
all the rectangles are simple, so let's start with them.
the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.
the dimensions of the bottom rectangle are 5m and 7m, so its 35.
the back rectangle has 5m and 7m so it is 35.
Halfway done!!
Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.
the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.
20+20+35+35+56=166
and that's about it!
I hope this helps, sorry it took so long to answer, but I hope you have a good day!
-Scarlet
(see photo for my paper work)
{CHECK REPLIES!}
Answer:
The $1 belongs to the cash box
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine if the $1 belongs to the cash box or not
Represent singles with s and couples with c.
From the attachment, we have:
--- total attendance
--- ticket sold
Solve for s and c.
Make s the subject in (1)
Substitute 47 - c for s in (2)
Open bracket
This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.
<em>So, we can conclude that the $1 belongs to the cash box</em>
The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.
<h3>What is green's theorem?</h3>The theorem states that,
Where C is the curve.
<h3>Calculation:</h3>The given line integral is
Where curve C is a circle x² + y² = 4;
Applying green's theorem,
P = 9y³; Q = -9x³
Then,
⇒
Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as
0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π
Then the integral becomes
⇒
⇒
⇒
⇒
⇒
⇒ -216π
Therefore, the required value is -216π.
Learn more about green's theorem here:
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