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<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = <em>x</em>
Adjacent Leg = 5.8
Hypotenuse = 7.3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:

- [Fraction] Divide:

- [Equality Property] Trig inverse:

- Evaluate trig inverse:

- Round:

Answer: 8
Step-by-step explanation:
Answer: fgm
Step-by-step explanation:
Set up a proportion:
3/4/24 = 1/x
Cross multiply:
3/4x = 24
Divide 3/4 to both sides or multiply by its reciprocal, 4/3:
x = 24 * 4/3
x = 96/3
x = 32
So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:
32 - 24 = 8
So you have 8 muffins left.
Answer:
You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.
Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.
so, 41 ^ 2 = 40 ^ 2 + h ^ 2
41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.
The height is 9 inches.
Step-by-step explanation:
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~Alex