Answer:
Therefore the cone is the greatest relative increase in volume.
Step-by-step explanation:
Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
260 inches of trim are needed to surround the window.
<h3 /><h3>What is the surface area?</h3>
The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
Actually, all we need is a trim that is the same size as our window and equal to the parallelogram's circumference, which is
The sum of the side is;
⇒Length of lower side + Length of the upper side
⇒ 90+90
⇒180 inches
The sum of adjacent sides;
Sum of adjacent sides = 40+40
Sum of adjacent sides = 80 inches
The length you should trim is needed to surround the window is found as;
⇒ 180 inches + 80 inches
⇒260 inches
Hence,260 inches of trim are needed to surround the window.
To learn more about the surface area, refer to the link;
brainly.com/question/2835293
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Answer:
Step-by-step explanation:
Let the rent be x
<u>Discounted rent </u>
<u>Increase applied</u>
<u>Final rent:</u>
- (x - 50) + 10% = (x - 50)*1.1
<u>We know this is equal to x + 5% = 1.05x, comparing now</u>
- 1.1(x - 50) = 1.05x
- 1.1x - 1.05x = 55
- 0.05x = 55
- x = 55/0.05
- x = $1100
Answer:
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.
This means that 
What proportion of childrenin this age range between 70 lbs and 85 lbs.
This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So
X = 85
has a pvalue of 1
X = 70
has a pvalue of 0.0694
1 - 0.0694 = 0.9306
The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.
Answer:
We need more information please.
Step-by-step explanation:
