Answer:
x = 29
Angle A = 46.4°
Angle B = 43.6°
Step-by-step explanation:
Since it is a right angle triangle, we can find x from pythagoras theorem;
x = √(20² + 21²)
x = √(400 + 441)
x = √841
x = 29
Using trigonometric ratios we can find angles A and B.
Opposite is 20
Adjacent is 21
Thus; opp/adj = tan B
20/21 = tan B
B = tan^(-1) 0.9524
B = 43.6°
Sum of angles in a triangle is 180°. Thus;
A = 180 - (90 + 43.6)
A = 46.4°
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-1.25, -18.5)
Point (0.25, -30)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add:
- Divide:
Answer:
the Diagonal is 41 units
Step-by-step explanation:
Since the sides of a rectangle, to be a rectangle, meet at 90° we use Pythagorean Theorem a² + b² = c²
Width and Length are the legs and the diagonal is the hypotenuse
9² + 40² = c²
81 + 1600 = c²
1681 = c²
√1681 = √c²
41 = c
Answer:
60%
Step-by-step explanation:
135-60%=54
so therefore the price fell to 54 and was 60% off!
Hope this helped!
2 quarters, 7 pennies
5 dimes, 7 pennies
10 nickels, 7 pennies
