Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
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>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 8
<em>b</em> = 12
<em>c</em>
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 12² = c²
- Evaluate exponents: 64 + 144 = c²
- Add: 208 = c²
- [Equality Property] Square root both sides: √208 = c
- Rewrite: c = √208
- Simplify: c = 4√13
<u>Step 3: Define Pt. 2</u>
<em>Identify variables</em>
Angle θ
Adjacent leg = 8
Hypotenuse = 4√13
<u>Step 4: Find</u>
- Substitute in variables [Cosine]:
- Rationalize:
Answer:
5
Step-by-step explanation:
6x+12 = 9x-3
3x = 15
x= 5
Answer:
25%
Step-by-step explanation:
We can use a proportion to answer this question:
64 represent the 100% of the games
so:
x : 100 = 16 : 64
x = (16*100)/64 = 1600/64 = 25%
Hi I hope you have an amazing day