Problem 9
r+h = 9
SA = 2*pi*r^2 + 2*pi*r*h = 54pi
2*pi*r^2 + 2*pi*r*h = 54pi
2pi*r(r + h) = 54pi
r(r+h) = 27
r(9) = 27
9r = 27
r = 27/9
r = 3
r+h = 9
h = 9-r
h = 9-3
h = 6
Answers: r = 3 and h = 6 are the radius and height respectively.
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Problem 10
d = diameter = 68 mm
r = radius = d/2 = 68/2 = 34 mm
SA = surface area of a sphere
SA = 4*pi*r^2
SA = 4*pi*34^2
SA = 4264pi
Answer: 4264pi square mm
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Problem 11
Plug V = 3000 into the sphere volume formula and isolate r.
V = (4/3)pi*r^3
3000 = (4/3)pi*r^3
(4/3)pi*r^3 = 3000
4pi*r^3 = 3*3000
4pi*r^3 = 9000
r^3 = 9000/(4pi)
r = cube root( 9000/(4pi) )
r = ( 9000/(4pi) )^(1/3)
r = 8.947002 approximately
Now we can determine the surface area of this sphere.
SA = 4pi*r^2
SA = 4*pi*( 8.947002 )^2
SA = 1005.923451
Answer: 1005.923451 square feet approximately
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Problem 12
We'll follow the same idea as problem 11, but in reverse.
SA = 4*pi*r^2
400pi = 4pi*r^2
r^2 = (400pi)/(4pi)
r^2 = 100
r = sqrt(100)
r = 10
Luckily we get a nice whole number for the radius r. Use it to find the volume.
V = (4/3)*pi*r^3
V = (4/3)*pi*10^3
V = (4000/3)pi
Answer: (4000/3)pi cubic inches exactly
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Problem 13
The diagram is missing. I don't have enough info to be able to answer.
Answer:
There is no solution to this equation.
Step-by-step explanation:
We know this because when we go to eliminate a term, both terms cancel out resulting in an incorrect statement. This makes the answer no solution.
-2x - 5y = 13
2x + 5y = -3
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0 = 10
you'll first need to understand the symbols, I've attched a cheat sheet :)
you'll need to see if AB is linked to CD reversed.
If not then it's not A
For B you'll have to see if the angles are parralel to each other.
and for C you'll have to see if the angles are the same.
and D is the same as C
so the answer is ab=cd
<h2>now you understand :)</h2>
Answer:
A Kite is a shape with two perpendicular lines and 1 line of symmetry.
Step-by-step explanation:
A Kite is a shape with two perpendicular lines and 1 line of symmetry.
Answer:
B. (8-9)(x) = x2 + 4x+ 3
Step-by-step explanation: Hi there! So the question is what is (f-g)(x)?
So let's start off with what is f(x) and g(x)?
f(x) is 2x²-5 while g(x) is x²-4x-8
So how do we do this? We subtract the two!
2x²-5 - (x²-4x-8) let's look at the g(x) function
-(x²-4x-8) (let's break it apart!
-(x²)= -x² -(-4x) = +4x -(-8)= +8 => -x²+4x+8 replace the original with the new for the problem
2x²-5-x²+4x+8 alrighty we have that the first thing to do is to combine like terms. Is there anything number or vairable that are the same? yes there is!
We see a 2x² and a negative x² => 2x²-x² would equal to x²
Next we see an -5 and a positive 8 => -5+8 equals to 3
Lastly, we have 4x. Where the other x variable? That's the thing? There is no. So in this case 4x is all alone.
With the answers we need to put them together. We would have...
x²+ 4x +3. That is the answer to (f-g)(x) in other words B.
Sorry about typing a lot. I love to explain in details lol. But if you have any questions or comments please don't be afraid to say anything! I really do hope I helped in any kind of way. Have a great day! :D
