Answer:
<h2>
AB is around 33.18</h2><h2>
BC is around 15.58 </h2>
Step-by-step explanation:
adjacent/hypotenuse is sine:
cos(28 degrees)=29.3/x
cos(28 degrees)*x=29.3
x=29.3/cos(28 degrees)
x=around 33.18
AB is around 33.18
opposite/adjacent is tangent
tan(28 degrees)=x/29.3
tan(28 degrees)*29.3=x
x=tan(28 degrees)*29.3
x=around 15.58
BC is around 15.58
Answer:
<h2>25</h2>
Step-by-step explanation:
So there is this property,
Sum of two angle of triangle = exterior angle
So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

So it's option B.
Answer:
The correct answer is
(0.0128, 0.0532)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of 
For this problem, we have that:
In a random sample of 300 circuits, 10 are defective. This means that
and 
Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.
So
= 0.05, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The correct answer is
(0.0128, 0.0532)
Answer:
A. {x: x ≥ -4}
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- {Builder Set Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3(2x - 1) - 11x ≤ -3x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
- [Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
- [Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
- [Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
- [Division Property of Equality] Divide 2 on both sides: -4 ≤ x
- Rewrite: x ≥ -4