There are 16 ounces in one pound, how many scoops are in 10 pounds?
Answer:
4
Step-by-step explanation:
Answer:
The inverse of
is 
Step-by-step explanation:
Given equation :

Replace x with y and y with x
So, 
So, Option C is correct
Hence The inverse of
is 
Answer:
16
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>
Leg <em>a</em> = <em>a</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 20
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²
- Evaluate exponents: a² + 144 = 400
- [Subtraction Property of Equality] Isolate <em>a</em> term: a² = 256
- [Equality Property] Square root both sides: a = 16
We have
<span>Va(airplane)=150
East</span>
Vw(wind)=7.1
South East
<span>
</span><span>resulting vector R</span>
airplane
Vax=150 Vay=0 it only has component x
WindVwx=7.1*cos45=5.02
Vwy=7.1*sin45=-5.02
is negative because is South direction
|R|=(Rx^2+Ry^2) ^0.5
Rx=150+5.02=155.02
Ry=0-5.02=-5.02
<span>|R|=155.10
miles/hour South East</span>
Determine angle θ
Rx=R*cos(θ)
<span>Cos(θ)=Rx/R</span>
<span>Cos(θ)=155.02/155.10=0.9995</span>
θ =arc cos Rx/R
θ =1.8119 º
Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater
Ry represents the component in the South direction of the resulting force
Its contribution is exclusive of the wind since the airplane has no component
in this direction
|R| the force resulting from the combined action of the force of the plane and the force of the wind
θ represents the angle that forms the resultant force with respect to the x axis or east direction