ANSWER
EXPLANATION
The surface area of a triangular prism is
equal to the area of two triangular faces
plus the area of the three rectangular faces.
The area of the equilateral triangle is calculated using the formula:
where s=6 is the length of one side.
and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.
Surface area
=211.2square inches.
Answer:
-15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(4x + 2)(x - 5) / 2
x = 2
<u>Step 2: Evaluate</u>
- Substitute: (4 · 2 + 2)(2 - 5) / 2
- Parenthesis - Multiply: (8 + 2)(2 - 5) / 2
- Parenthesis - Add: 10(2 - 5) / 2
- Parenthesis - Subtract: 10(-3) / 2
- Multiply: -30 / 2
- Divide: -15
<h3>
Answer: Choice D</h3>
Domain = [-3, infinity)
==================================================
Work Shown:
In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of 
as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.
Answer:
5!
Step-by-step explanation:
-40÷5 = -8
Answer:
x8 = 21 and x9 = 34
Step-by-step explanation:
The Fibonacci numbers are
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,...
