I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set
for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance
between the y-axis
and the curve
. In terms of
, this distance is
. The height of each cross section is twice the value of
, so the area of each rectangular cross section should be
.
This means the volume would be given by the integral
Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
Answer:
39 units by 51 units
Step-by-step explanation:
The painting is a scale factor of 1/3, so each side length is 1/3 of the original. To find the original multiply both side lengths by 3.
13x3 = 39
17 x 3 = 51
Answer:
c. divide the cars gas milelage
Answer:
Step-by-step explanation:
from the question,
the mean 14
the standard deviation is 3
and sample size is 10.
since the n which is the sample size is 10, then the distribution is mound shaped.
why?
this is due to the fact that the random variable from which we took the sample is mound shaped.
The sampling distribution of the mean is normally distributed although the question says the random variable is not normally distributed. so the shape is bell shaped and normally distributed.
the standard deviation of the mean is
3/√10
= 0.948
