Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
The two towns would be 60 miles apart. Because 2 inches divided by 0.5 inches is 4. So you have to multiply 15 miles and you’ll 60 miles
Answer:
11m
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define expression</u>
2(5m) + m
<u>Step 2: Simplify</u>
- Multiply: 10m + m
- Add: 11m
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719