Answer:
x ≈ 25.5°
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
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x</em>°
Opposite Leg = 10
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: tanx° = 10/21
- Inverse trig: x° = tan⁻¹(10/21)
- Evaluate: x = 25.4633°
- Round: x ≈ 25.5°
Answer:
A) c + CD = 20
B) 6c + 12CD = 192
Multiplying equation A by -6 we get:
A) -6c -6CD = -120
B) 6c + 12 CD = 192
Adding the equations we get
0 + 6 CD = 72
There are 12 CD's and
c + 12 = 20
There are 8 cassettes
Step-by-step explanation:
Just put the numbers under one square root symbol and try to simplify.
Answer:
Yes
Step-by-step explanation:
1.5(2^x)(2^1)
1.5x2^x x2
3x2^x
<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:

Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line,
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

Therefore,
is our answer. If you have any questions, please do not hesitate to ask!