We have been given that during one period extreme cold, the average daily temperature decreased 
degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.
First of all we will convert our mixed fraction into improper fraction.
Now we will divide total temperature change (9) by average daily temperature change (
) to find number of days.
Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.
Therefore, it will take 6 days for the temperature to decrease by 9 degree F.
Answer:
c
Step-by-step explanation:
10 times 8 = 80
80 times 3 = 240
<h3>
Answer: 40</h3>
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Explanation:
JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.
See the diagram below.
The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)
We know that JN = 60
Let x = JQ and y = QN
The ratio of x to y is x/y and this is 2/1
x/y = 2/1
1*x = y*2
x = 2y
Now use the segment addition postulate
JQ + QN = JN
x + y = 60
2y + y = 60
3y = 60
y = 60/3
y = 20
QN = 20
JQ = 2*y = 2*QN = 2*20 = 40
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We have
JQ = 40 and QN = 20
We see that JQ is twice as larger as QN and that JQ + QN is equal to 60.
The area of the trapezoid is 30
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:
We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):
Evaluate. Simplify:
Hence:
Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)
