Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Answer:
4.16
Step-by-step explanation:
4.16
because thousanth is 5
Answer:
30
Step-by-step explanation:
is going to output a number in between
and
.
Luckily you are looking for
in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering
in your calculator.
You may also use the unit circle. sine value refers to the y-coordinate on there.
So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.
Answer:
No, Electric Pole is 40 ft
Step-by-step explanation:
tan 66.8° = 
x = 35
but that is from the top of Danny, so you need to add 5 (his height)
Electric Pole is 40 ft