Answer:
Step-by-step explanation:
The given expression is 
Comparing to 
, we have 
We add and subtract 
This implies that:
The expression in the rectangle is a perfect square
Therefore
M=1/1 b=-6... since there is no picture of the the graphs i just drew what the graph would look like
The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
<h3>What is the Volume of a Cone?</h3>
Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.
Given the following:
- Volume = 1/18 π ft³
- Diameter = 2/3 ft
- Radius = (2/3)/2 = 1/3 ft
- Height (h) = ?
Plug in the values into the volume formula:
1/18π = 1/3π(1/3)²h
1/18π = 1/3π(1/9)h
1/18π = (πh)/27
Divide both sides by π
1/18 = h/27
Cross multiply
27 = 18h
27/18 = h
h = 1.5
Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
Learn more about volume of cone on:
brainly.com/question/13677400
To do this, start simple first.
Add 10 and 2
10 + 2 = 12
Now add the fractions:
9/12 + 1/12 = 10/12
Simplify: 5/6
Nate will be 12 and 5/6 years old.
Answer:
377 choices
Step-by-step explanation:
From the above question, we are told that
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
M = Main meal = 8
D = Dessert = 5
a) The combination of the 3 choices together
AMD=6 × 8 × 5=240
b) AM= Appetizer and Main meal
= 6 × 8 = 48
c) AD= Appetizer and Dessert
= 6 × 5 = 30
d) MD = Main meal × Dessert
= 8 × 5 = 40
e) A,M,D (each alone)=
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19
Assuming all choices are available, how many different possible meals does the restaurant offer?
This is calculated as:
AMD + AM + AD + MD + A,M,D
240 + 48 + 30 + 40 + 19
= 377 choices
