Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
<em>∠5 = 118</em>
Step-by-step explanation:
If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.
A straight line is equal to 180 so if we do...
= 118.
<u>∠5 will be equal to 118.</u>
If we go even further, because vertical angles are congruent...
∠7 = 62
∠8 = 118
There are 3.5 pounds of fruit all together
Answer:
1: 9
2: 7
3: 5
4: 3
5: 1
Step-by-step explanation:
You have to substitute the x in y=-2x+11 for the numbers under the x column.
For example, for 1, you would do y=-2(1)+11, which would equal y=-2+11, which equals 9. You would do this for all of the x values.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
