via the angle sum formula of sin
which proves the second choice
the third choice is wrong since for x=0,y=0 it will show that 2=1 which is incorrect
for the fourth one you can do some thing similar to choice one just expand the sum formula of sin and that should be true too
so
the first , the second and the fourth are all true
Answer/Step-by-step explanation:
Area of a rectangle = Length × Width
Width of the large rectangle = a
Length of the large rectangle = (2 + 3 + 4)
Therefore:
Area of the large rectangle = a(2 + 3 + 4)
Answer:
The correct answer is c.
Step-by-step explanation:
x represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion
P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%
P= 6.41÷458×100=1.4%
To simplify that equation you would first subtract 8 from both sides, getting 7x=28. You would then divide both sides by 7, getting x=4.
Answer:
x = ±2√15
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 60
<u>Step 2: Solve for </u><em><u>x</u></em>
- Square root both sides: x = ±√60
- Simplify: x = ±2√15
<u>Step 3: Check</u>
<em>Plug in both solutions of x to verify it's a solution.</em>
x = 2√15
- Substitute: (2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
x = -2√15
- Substitute: (-2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
Here we see that both solutions do indeed work.
∴ x = ±2√15 are both solutions to the equation.
