Y > 2x - 3
3y - x ≤ 6
↓
y = 2x - 3
3y - x = 6
3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
6x - 9 - x = 6
6x - x - 9 = 6
5x - 9 = 6
<u> + 9 + 9</u>
<u>5x</u> = <u>15</u>
5 5
x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)
Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80
Answer:
11. x=18, y=5
12. x=17, y=9
Step-by-step explanation:
Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)
The sides of a right triangle can always be expressed as:
h^2=x^2+y^2, where h is the length of the hypotenuse and x and y are the side lengths.
If we are to assume that "a" is a side length then 17 or "c" must be the hypotenuse so:
17^2=11^2+a^2
a^2=289-121
a^2=168
a=√168
a≈12.96 (to nearest hundredth)
Note we knew this assumption because of the answer choices, but technically, "a" COULD have been the hypotenuse without this implicit suggestion making:
a^2=17^2+11^2
a^2=410
a=√410
a≈20.25 (to the nearest hundredth)
Of course the above is not relevant to this particular question but be aware that you won't always be given answer choices to make the assumption of which side is the hypotenuse...
The error interval of the perimeter is 6.1 cm ≤ p < 6.15 cm
<h3>How to determine the error of interval?</h3>
The perimeter is given as:
P = 6.1 cm to 1 decimal place
The smallest number that can be approximated to 6.1 is 6.05, while the largest number is less than 6.15
This means that the interval is:
6.1 cm ≤ p < 6.15
Read more about error interval at:
brainly.com/question/16810055
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