Answer:
Slope = 2 6/11
Step-by-step explanation:
<u>Formula:</u>
m = slope.
<u>Substitute the given points into the formula:</u>
<u>Solve:</u>
Answer:
The window should be positioned 4 1/8 feet far from each edge of the wall.
Step-by-step explanation:
Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:
1/8 = 0.125
3/8 = 0.375
(11,375 - 3,125) / 2 = X
8.25 / 2 = X
4.125 = X
Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.
Answer:
c = 7.6
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
- Subtraction Property of Equality<u>
</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: Define</u>
<em>Identify variables</em>
<em>a</em> = 7
<em>b</em> = 3
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7² + 3² = c²
- Evaluate exponents: 49 + 9 = c²
- Add: 58 = c²
- [Equality Property] Square root both sides: √58 = c
- Rewrite: c = √58
- Evaluate: c = 7.61577
- Round: c = 7.6
After this step, find the button on your calculator that says 'tan' and type n 30 degrees, then press enter or the equal sign or whatever button you press to calculate.
You should get that tan(30) = 0.5774
Now plug that back into the equation
(approximated)
Hope that helps!