1. 
- Cone
2. 
- Sphere
3. 
- Cylinder
4. 
- Pyramid
5. 
- Prism
Solution:
1.
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere = 
where r is the radius of the sphere.
3.
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.
Answer: 25 + 15x ≤ 150
Step-by-step explanation: For this problem we will write an inequality to represent this situation.
Let x equal each additional day.
25 + 15x ≤ 150
The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.
I am guessing Jack is 51 and Lacey is 17.
Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
Answer:
c
Step-by-step explanation:
