In an equilateral triangle (all sides and anges are equal)
angles are 60 degrees each
Answer:
x = 53.6588°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing angle.
<u>Step 2: Identify Variables</u>
<em>POV from angle x</em>
Angle = <em>x</em>
Adjacent = 16
Hypotenuse = 27
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: cosx° = 16/27
- Inverse: x° = cos⁻¹(16/27)
- Evaluate: x = 53.6588°
Answer:
x=-2
Step-by-step explanation:
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We can’t see the rotation
Answer: Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.