Answer:
-2,0
Step-by-step explanation:
Answer:
the first option
Step-by-step explanation:
really, just look at the table.
is the mean value (10.4) larger than the median (13.4) ?
I hope you can see right away that it is not.
and you can see they are not the same either.
so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.
so, it is between the first two options.
now think ! how do we draw number lines ? a coordinate axis ?
the smaller numbers left, the larger numbers right. the numbers grow from left to right.
the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.
Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
The cylinder:
pi x r^2 x h
= pi x 8^2 x 20
then times it by a half
= 2009.6
The prism:
l x w
= 32 x 20
= 640
All up:
2009.6 +640
The shape equals 2649.6 cm sqaured
Answer:
L1 = 18 cm
W1 = 14 cm
A1 = 252 cm²
Step-by-step explanation:
Since the small rectangle is ½ the scale drawing of the original figure, therefore the dimensions of the smaller rectangle would be half of that of the original.
Thus:
Length (L) of the original = 36 cm
Length (L1) of the smaller rectangle = ½(36) = 18 cm
Width (W) of the original = 28 cm
Length (W1) of the smaller rectangle = ½(28) = 14 cm
Area (A1) of the smaller rectangle = L1 × W1 = 18 × 14 = 252 cm²
