Answer:
Step-by-step explanation:
The volume of a cylinder is:
where 
is the radius and 
is the height.
The height is 4 inches greater that the radius, so:
Substituting this in the formula for volume:
the volume is 
thus:
Dividing everything between pi:
We can see that the solution for this is 
since 
We have the radius, now we find the height:
Answer:
5/10
Step-by-step explanation:
5/10 = 1/2
5 + 10 = 15
Answer:
5 felt pads.
7 cards.
Step-by-step explanation:
Remark
- The total number of items is 12
- So let the felt sheets be x
- Let the cards = y
Equations and Solution
x + y = 12
Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.
0.5x + 0.75y = 7.75 Multiply this equation by 2
x + 1.5y = 15.50 write the first equation underneath and subtract.
<u>x + y = 12</u>
.5y = 3 Divide by 0.5
y = 3/0.5
y = 7
So she can get 7 cards.
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
So she can buy 5 felt pads.
<span>Triangles exist:
</span>3 acute angles<span>
2 acute angles, 1 right angle
</span><span>2 acute angles, 1 obtuse angle
</span>
Triangles DON'T exist for:
<span>1 acute angle, 1 right angle, 1 obtuse angle
</span><span>1 acute angle, 2 obtuse angles</span>
Answer:
See explanation
Step-by-step explanation:
Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let
- statement p be "A figure is cube.";
- statement q be "A figure has 8 vertices."
Then the statement "If a figure is a cube, then it has eight vertices" can be written as
Converse (
): If a figure has eight vertices, then it is a cube.
Inverse (
): If a figure is not a cube, then it has not eight vertices.
Contrapositive (
): If a figure has not eight vertices, then it is not a cube.
