Answer:
25.9 %
Step-by-step explanation:
IM SORRY IF IM WRONG!
Median is the central tendency of the data and always exists in the middle of the data set.
<h3>What is the median?</h3>
The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.
The process of finding the median if the number of data points is even is as follows:
- Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)
- Next cross of the high/ low pairs
- Add the leftover numbers
- and divide the number( as obtained in the above step by 2)
( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)
To know more about median follow
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Answer:
3
Step-by-step explanation:
Answer: Choice C. 107.9 degrees (approximate)
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Explanation:
Draw a line segment from A to B. Mark point E as the intersection between this new line segment and the arc CD.
We can see that AE = 4000 because it's another radius of the same circle. The diagram shows that EB = 2800.
So,
AB = AE+EB = 4000+2800 = 6800
Because point D is a tangent point, this means radius AD is perpendicular to tangent segment BD. We have a 90 degree angle at point D, or we can write angle BDA = 90.
With triangle BDA being a right triangle, we can use a trig ratio to compute angle DAB. I'll call this angle A for short.
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Apply the cosine ratio. Focus entirely on triangle BDA.
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AB
cos(A) = 4000/6800
cos(A) = 10/17
A = arccos(10/17)
A = 53.9681209275294 ... make sure your calc is in degree mode
A = 53.968
Angle DAB = 53.968 degrees approximately
This represents exactly half of central angle CAD, so we'll double the value to get 2*53.968 = 107.936 which rounds to 107.9 degrees showing why choice C is the answer.
Central angle CAD is exactly equal to the arc it cuts off, minor arc CD. The central angle is roughly 107.9 degrees of a full 360 degree circle, and the same can be said about the outer arc edge piece of minor arc CD.
Answer:
1. <em>Volume of cube-shaped box = 91.125 cubic inches</em>
2. <em>Volume of shipping box = 729 cubic inches</em>
3. 8 boxes of office supplies can be packed into the larger box for shipping.
Step-by-step explanation:
1.
The first question asks for the volume of a cube. The formula is V = s^3, where, s is the side length and V is the volume. <em>Thus plugging in, we get:</em>
<em></em>
<em>Volume of cube-shaped box = 91.125 cubic inches</em>
<em />
2.
The second question asks for the volume of the shipping box. Since 3 measurements are given, the shipping box is a rectangular prism. The volume of a rectangular prism is V = l * w * h, where
V is the volume
l is the length
w is the width, and
h is the height
<em>Plugging in all the info we know (multiplying the 3 numbers - dimensions), we can get the volume of the shipping box. So:</em>
<em></em>
<em>Volume of shipping box = 729 cubic inches</em>
<em />
3.
Since the <em>volume of a single box of office supplies (cub-shape) is 91.125 cu. in., and the volume of larger shipping box is 729, we can divide 729 by 91.125 to find how many of them would fit the large box.</em>
<em />
Hence, 8 boxes of office supplies can be packed into the larger box for shipping.