Answer:
To find the lateral surface area, we will find half of the perimeter of the base and multiply it by the slant height of the side triangles. Each triangle has a slant height. The slant height is the height of each triangle, not the height of the pyramid.
Step-by-step explanation:
Answer:
x = 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = 12
<em>b</em> = 5
<em>c</em> = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [PT]: 12² + 5² = x²
- Evaluate exponents: 144 + 25 = x²
- Add: 169 = x²
- [Equality] Square root both sides: ±13 = x
- Rewrite: x = ±13
Since we are dealing with positive numbers, we can disregard the negative root.
∴ x = 13
We have that
<span>observing the graph of the problem, it is evident that the solution is option D, since the graph of the parabola presents a domain for x <4 and the line presents a domain for x> = 4 and the only option with these two conditions is option D
</span>
using a graph tool
<span>I proceed to verify</span>
see the attached figure
the answer is the option D
The measure of angle EAC is equivalent to 50 degrees.
Let us first assume that the operator between 5x^3 and 3 is addition. What Louise did was incorrect, as she did not follow the proper way of expanding a binomial. The actual steps to take when taking the square of a binomial is as follows:
(5x^3 + 3)^2 = (5x^3 + 3)(5x^3 + 3)
25x^6 + 15x^3 + 15x^3 + 9
25x^6 + 30x^3 + 9
The actual answer is <span>25x^6 + 30x^3 + 9.</span>