Answer:
pi/18
Step-by-step explanation:
To change from degrees to radians, we multiply by pi/180
10 * pi/180
pi/18
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Answer:
Second class have higher marks and greater spread.
Step-by-step explanation:
First box plot represents class first. From the first box plot, we get
Second box plot represents class second. From the second box plot, we get
First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.
Second class has greater range and greater inter quartile range. It means data of second class has greater spread.
Therefore, second class have higher marks and greater spread.
Answer:
2.5
Step-by-step explanation:
The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.
Answer: y= -2 - 1/2
Step-by-step explanation:
-4x -2y = 1
+4x +4x
-2y = 4x + 1
/-2 /-2 /-2
y= -2 - 1/2
I think, i may be incorrect but the verbal explanation is; -4x is needed to be moved so you add 4x to both sides and 4x cancels out on the left which leaves -2y on the left (when it was moved "x" is always first). then divide all numbers by -2 to get y by itself. this gives you y= -2 - 1/2 if my calculations are correct.
