from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.
likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D8.5%5C%5C%20a%3D24.3%5C%5C%20b%3D9.7%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B8.5%2824.3%2B9.7%29%7D%7B2%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B8.5%2834%29%7D%7B2%7D%5Cimplies%20A%3D144.5~in%5E2%20%5Cend%7Barray%7D)
The answer is A Becuase you only tell the x axis and there is only 2 points on the x axis
Answer:
- the definition needs to restrict all of the points to a plane
Step-by-step explanation:
In 3-dimensional Euclidean space, a sphere is the set of all points the same distance from a given point. The given definition of a circle only applies when the given point and the solution set are in the same plane, and the geometry is Euclidean.
Answer:
<h3>1. t=10</h3><h3>2. t=4</h3><h3>3. t=40</h3>
Step-by-step explanation:
Isolate the term of t from one side of the equation.
<h3>1. 4t=40</h3>
First, you have to divide by 4 from both sides.
4t/4=40/4
Solve.
Divide the numbers from left to right.
40/4=10
<h3><u>
t=10</u></h3>
<h3>2. 10+t=14</h3>
<u>First, change sides.</u>
t+10=14
<u>Then, subtract by 10 from both sides.</u>
t+10-10=14-10
<u>Solve.</u>
<u>Subtract the numbers from left to right.</u>
14-10=4
<h3><u>
t=4</u></h3>
<h3>3. 70-t=30</h3>
First, subtract by 70 from both sides.
70-t-70=30-70
Solve.
30-70=-40
<u>Rewrite the problem down.</u>
-t=-40
Divide by -1 from both sides.
-t/-1=-40/-1
<u>Solve.</u>
<u />
<u>Divide the numbers from left to right.</u>
-40/-1=40
<h3><u>
t=40</u></h3>
- <u>Therefore, the correct answer is t=10, t=4, and t=40.</u>
I hope this helps! Let me know if you have any questions.
The <u>correct answers</u> are:
16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Explanation:
16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Next we divide this sum by the number of data points, 24:
246/24 = 10.25.
The <u>median</u> is the middle point of a data set. Since there are 24 points, this will be between two values. These two values are 10 and 10; the median is 10.
The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.
17) The <u>mean </u>is changed; the sum of the data values is 246. Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5: 15-5=10. The range is changed the most.
18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>. This means the answer is 10.
19) The expression for the total number of cars sold is found by adding together all of the points.