Answer:
m= 0, 10
Step-by-step explanation:
1). Square root both sides. Taking the square root of any constant gives you a positive and negative answer.
(m-5)^2= 25
m-5 = 5, -5
2). Add 5 to both sides.
m= 5+5 = 10
and
m= -5 + 5 = 0
Hope this helped!
Answer:
c = 68
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> = 60
<em>b</em> = 32
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 60² + 32² = c²
- Evaluate exponents: 3600 + 1024 = c²
- Add: 4624 = c²
- [Equality Property] Square root both sides: 68 = c
- Rewrite: c = 68
Answer:
For each player:
Headbands = 11.67 inches of fabric
Wristbands = 9.31 inches of fabric
Step-by-step explanation:
Shauna is making accessories for the soccer team
For Headbands
She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches
The total number of persons = 40 players + 4 coaches
= 44 persons
Hence:
44 persons = 513.48 inches
1 person = x
Cross Multiply
44x = 513.48 inches × 1
x = 513.48 inches/44
x = 11.67 inches per person
For Wristbands
She uses 372.40 inches of fabric on wristbands for just the players how much fabric was used on a headband and wristband for each player?
Number of players = 40
Hence
40 players = 372.40 inches
1 players = x inches
Cross Multiply
40x = 372.40 inches
x = 372.40 inches/40
x = 9.31 inches
Hence, 9.31 inches per player.
Therefore
For each player:
Headbands = 11.67 inches of fabric
Wristbands = 9.31 inches of fabric
Use the quadratic formula: