Answer:
SA = 748π in²
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 11 in
<em>h</em> = 23 in
<u>Step 2: Find Surface Area</u>
- Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²
- Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)
- Multiply: SA = 506π in² + 242π in²
- Add: SA = 748π in²
Step-by-step explanation:
(10-0) ÷ (27-0) = x ÷ y
10 ÷ 27 = x ÷ y
27x = 10y
2,7x = y
The third one
Answer:
80
Step-by-step explanation:
Think of it as a Venn diagram. One circle is the people who like dogs, and one circle is the people who like cats. The overlap is people who like both dogs and cats.
190 people in the survey said they like dogs. That includes the people who like both dogs and cats.
141 people in the survey said they like cats. That includes the people who like both dogs and cats.
If we simply add the two numbers together, we'll be counting the overlap twice. So to find the total number of people who like dogs or cats, we have to subtract one overlap.
dogs or cats = 190 + 141 − x
Therefore:
190 + 141 − x + 88 = 339
419 − x = 339
x = 80
80 people said they liked both cats and dogs.
Answer:

Step-by-step explanation:
<u>Equation of a circle</u>

where:
- (a, b) is the center
- r is the radius
From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.
Substitute these values into the general form of the equation of a circle:


Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:
⇒ radius (r) = 5 - 2 = 3
Substitute the found value of r into the equation:

Therefore, the final equation of the given circle is:

Answer:
Whole, natural, integer, rational, real
Step-by-step explanation:
15/5 can be rewritten as 3.