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:
210.82
Step-by-step explanation:
arc length= 2pi r (Ø/360)
= 2x 3.14 x 47(257/360)=210.82
Answer:
F(10) = P(x = 10) = 0.3
F(5) = P(x = 5) = 0.4
F(1) = P(x = 1) = 0.3
Step-by-step explanation:
Given the following :
Probability estimates given:
Very successful = 0.3
Moderately successful = 0.4
Unsuccessful = 0.3
Yearly revenue (X) :
Very successful = $10 million
Moderately successful = $5 million
Unsuccessful = $1 million
The probability mass function of X:
f(x) = probability of each valie of x
When x = 10:
F(10) = P(x = 10) = 0.3
When x = 5:
F(5) = P(x = 5) = 0.4
When x = 1:
F(1) = P(x = 1) = 0.3
Answer:A
1/48 = 102/ ???
1 × 102 = 102
48 × 102 = 4896 mm, or 4.896 m
B
1 inch = 25.4 mm
1/48 = 1 and one fourth in/54 in
54 ÷ 1 1/4 = 43
43 ≠ 48
The train can't drive on the tracks.
Step-by-step explanation:
