Answer:
x = 12.1532°
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Opposite Leg = 4
Hypotenuse = 19
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]: sinx = 4/19
- Inverse trig: x = sin⁻¹(4/19)
- Evaluate: x = 12.1532°
9514 1404 393
Answer:
$10,308.92 interest earned
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^n
where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...
A = $35,000(1 +0.0972/12)^32 = $45,308.92
The interest earned is the excess of the balance over the original investment:
interest = $45,308.92 -35,000 = $10,308.92
The true statements are:
B. N⊂R
C. S⊂N
D. ∅⊂N
F. {10.11.12,...}⊆S
<h3>
Subsets and Sets</h3>
Note that:
- All real numbers are numbers that can be found on the real number line
- Natural numbers are positive whole numbers
- All natural numbers are subsets of real numbers
- The null set (∅) is a subset of every set
- A set is a proper subset of itself
Following the points highlighted above, the true statements in the given options re:
B. N⊂R
C. S⊂N
D. ∅⊂N
F. {10.11.12,...}⊆S
Learn more on subsets and sets here: brainly.com/question/13265691
#SPJ1
Answer:
x<-1 or x>11
Step-by-step explanation:
Set the equation x-5>6 and solve. You would then get x>11
For the second part, you want to flip the > sign into < and turn the 6 into -6. Solve the equation to get x-5<-6 which is then x<-1
