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:
- domain: all real numbers, (-∞, ∞)
- range: all real numbers, (-∞, ∞)
- maximum: +∞
- minimum: -∞
Step-by-step explanation:
The function is an odd-degree polynomial. The domain and range of any odd-degree polynomial is (-∞, +∞). It has no finite maximum or minimum.
There are 3 local maxima, and 3 local minima. The ones that are non-zero are irrational. Those are about -150.018, -580.455, and 578.545. If you're seriously expected to solve for these values, no doubt you have been given a method for doing so. Use that method.
These local extreme values are reported by the Desmos on-line graphing calculator.
X=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
Some points are (7,3) and (-7,-5).
