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] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = <em>x</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [cosine]:

- [Multiplication Property of Equality] Multiply 25 on both sides:

- Rewrite:

- Evaluate:

<span>So we wan't to know from which number can we take 30% and get 6. Well, lets turn that into an equation. Lets say that x is the number we are looking for. So, 30% of x is equal 6 or mathematically: 30% * x = 6. Now: (30/100)*x=6 and when we multiply both sides with 100 and divide both sides with 30 we get: x=(6*100)/30 and that is equal to: x=20. So 30% out of 20 is 6. </span>
Answer: Our required probability is 0.328.
Step-by-step explanation:
Since we have given that
there is number on the lottery is from 1 to 38.
6 numbers are selected.
We need to find the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket.
So, it should be other than 6 numbers.
Remaining numbers = 38-6 = 32
So, our probability becomes

Hence, our required probability is 0.328.
Answer:
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Step-by-step explanation:
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Answer:
I think the answers are:
23) 58 degrees
24) 23 F
Step-by-step explanation: