Answer:
<h3>
BC = 32</h3>
Step-by-step explanation:
B being midpoint of AC means:
BC = AB = 32
You should use curly braces instead of parenthesis to indicate set notation. The answer is {101, 404} as these two values are in both set A and set B at the same time. The upside down U symbol means "intersection" which is where the two sets overlap. In terms of a Venn Diagram, you'll have two overlapping circles. In the overlapping region is where 101 and 404 are written. In the region of circle A that is outside of B, you'll have 202, 303, and 505. There is nothing to write in the region of B that is outside of A (since all of B is inside A)
Once again, the answer is {101, 404}
The value of b in the equation is -2
<h3>What is an algebraic equation?</h3>
An algebraic equation is an expression that consists of numbers, variables with their arithmetic operations.
- When solving this kind of algebraic equation, we move the like terms to a side and solve for the variable(unknown).
From the given algebraic equation:
-4b - 5 = 3b + 9
By collecting the like terms, we have:
-4b -3b = 5 + 9
-7b = 14
Divide both sides by (-7)
x = -2
Learn more about algebraic equations here:
brainly.com/question/4344214
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
