Answer:
x = 15.7945
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] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 33°
Opposite Leg = <em>x</em>
Hypotenuse = 29
<u>Step 2: Find Angle</u>
- Substitute in variables [sine]: sin33° = x/29
- [Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = x
- Rewrite: x = 29sin33°
- Evaluate: x = 15.7945
Answer:
48 kg
Step-by-step explanation:
She can make 24 kg of dough in 3 hours
Multiply each by 2
She can make 24*2 kg of dough in 3*2 hours
She can make 48 kg of dough in 6 hours
Answer:
-14
Step-by-step explanation:
f(x) = 3x-5
g(x) = -x^2 +1
g(2) = - (2^2) +1
g(2) =-4+1 = -3
Then stick the -3 in f(x)
f(-3) = 3(-3)-5 = -9 -5 = -14
f(g(2) = -14
Answer:
The third or bottom left option.
Step-by-step explanation:
Pay attention to the slopes. If it is negative that the graph points to the top left or bottom right and the opposite for a positive slope(slope is the coefficient of the x value meaning if the slope is a very small negative number or a large positive number than the steepness changes) This can be solved purely through the process of elimination which is how I did it.