When given 3 triangle sides, to determine if the triangle is acute right or obtuse
square all 3 sides
sum the squares of the 2 shortest sides
compare this sum to the square of the 3rd side
if sum > 3rd side squared it's an acute triangle
if sum = 3rd side squared it's a right triangle
if sum < 3rd side squared it's an obtuse triangle
24 32 42
24*24 = 576
32*32 = 1,024
42*42 = 1,764
Sum of the square of 2 shortest sides = 1,600
Since 1,600 < 1,764 these sides form an obtuse triangle.
Source:
http://www.1728.org/triantest.htm
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
Based on the given values above, we will be able to determine the expected number of viewers after four weeks by just multiplying the number of viewers to 18% per week. So the initial is 25 for this next. So for the first week, additional of 4.5 viewers. So the total would be 29.5 Second week, additional of 5.31, and the total would be 34.81. Third week, additional 6.27, the total would be 41.08. And on the fourth week, additional of 7.39, so the expected number of viewers would be 48.47. To round this off to the nearest whole number, we can get 48 viewers. Hope this helps.
Answer:
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] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Adjacent Leg = 15
Hypotenuse = 25
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
- Simplify:
- Inverse Trig:
- Evaluate:
- Round:
Answer:
Step-by-step explanation:
2y + 7 - 4y = 15 - 2y - 8
-2y + 7 = 7 - 2y
-3n - 2 = 4n - 2 - 7n
-3n - 2 = -3n - 2