Answer:
D. x-intercept is -5 and the y-intercept is -2
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
The formula for the area of a square of side s is A = s^2.
Then s^2 = A, and s = +√A.
Here, the approx. side length is s = +√(75 m^2), or 8.7 m
<h3>
Answer:</h3>
Neither one
<h3>
Step-by-step explanation:</h3>
Frog A's "unit rate" is ...
... (8 flies)/(4 minutes) = 2 flies/minute
Frog B's "unit rate" is ...
... (14 flies)/(7 minutes) = 2 flies/minute
Both rates are the same. Each frog eats 2 flies per minute.
Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is 
.
Because all the angles of a triangle sum to 
, we have that 
.
We combine like terms on the left side to get 
.
We subtract 
on both sides to get 
.
So, 
and we're done!
