Answer:
_
66,6% = ⅔
_
33,3% = ⅓
85% = 17⁄20
80% = ⅘
75% = ¾
90% = 9⁄10
20% = ⅕
10% = ⅒
Step-by-step explanation:
To convert from a fraction to a percentage, divide both the denominator and numerator to get a decimal point, then move the decimal point twice to the right, then attach the percentage symbol:
⅒ = 0,1 = 10%
⤻⤻
⅕ = 0,2 = 20%
⤻⤻
9⁄10 = 0,9 = 90%
⤻⤻
¾ = 0,75 = 75%
⤻⤻
⅘ = 0,8 = 80%
⤻⤻
17⁄20 = 0,85 = 85%
⤻⤻
_ _
⅓ = 0,3 = 33,3%
⤻⤻
_ _
⅔ = 0,6 = 66,6
All those bars above those digits are what are known as bar notation, indicating that digits repeat.
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Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
<h3>What is the angle about?</h3>
Part A:
Angle UZT is congruent to angle TZY.
Using the image attached figure, we can see that:
∠UZT = 54°
∠TZY = 54°
Hence one can say that ∠TZY = ∠UZT are both congruent angles.
Part B:
Angle VZW is congruent to angle YZX.
Using the image attached attached, we can see that:
∠VZW = 71°
∠YZX = 71°
Hence, ∠YZX = ∠VZW are both regarded as congruent angles .
Therefore, The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
Learn more about Angles from
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