The missing value is 21.
The ratio value of the double number line is
.
Solution:
Ratio of the given number line is
![$\frac{7}{2}=\frac{7\div1}{2\div1}=\frac{7}{2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B7%7D%7B2%7D%3D%5Cfrac%7B7%5Cdiv1%7D%7B2%5Cdiv1%7D%3D%5Cfrac%7B7%7D%7B2%7D)
![$\frac{14}{4}=\frac{14\div2}{4\div2}=\frac{7}{2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B14%7D%7B4%7D%3D%5Cfrac%7B14%5Cdiv2%7D%7B4%5Cdiv2%7D%3D%5Cfrac%7B7%7D%7B2%7D)
![$\frac{28}{8}=\frac{28\div4}{8\div4}=\frac{7}{2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B28%7D%7B8%7D%3D%5Cfrac%7B28%5Cdiv4%7D%7B8%5Cdiv4%7D%3D%5Cfrac%7B7%7D%7B2%7D)
![$\frac{35}{10}=\frac{35\div5}{8\div5}=\frac{7}{2}](https://tex.z-dn.net/?f=%24%5Cfrac%7B35%7D%7B10%7D%3D%5Cfrac%7B35%5Cdiv5%7D%7B8%5Cdiv5%7D%3D%5Cfrac%7B7%7D%7B2%7D)
Hence the common ratio of the number line is
.
The missing ratio is
![$\frac{7}{2} =\frac{7\times3}{2\times3}= \frac{21}{6}](https://tex.z-dn.net/?f=%24%5Cfrac%7B7%7D%7B2%7D%20%3D%5Cfrac%7B7%5Ctimes3%7D%7B2%5Ctimes3%7D%3D%20%5Cfrac%7B21%7D%7B6%7D)
Hence the missing value is 21.
Step-by-step explanation:
sec² x − 2 = 0
sec² x = 2
cos² x = ½
cos x = ±√½
x = π/4, 3π/4, 5π/4, 7π/4
First, you convert 33 1/3 % into decimals which is 0.33333333333 then you multiply 29.99 by the decimal to get the amount you save which is then subtracted from the initial amount.
29.99 x 0.33 1/3 = 9.99667
29.99 - 9.99667 = 19.99
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
The percent error is 99%
Step-by-step explanation
Estimated weight of cat = 10 pounds
Actual weight of cat = 1375 pounds
We need to find the percent of error.
The formula used is: ![Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100](https://tex.z-dn.net/?f=Percent%5C%3AError%3D%5Cfrac%7B%7CEstimated%5C%3Avalue-Actual%5C%3AValue%7C%7D%7BActual%5C%3AValue%7D%5Ctimes%20100)
Putting values and finding percent of error.
![Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100\\Percent\:Error=\frac{|10-1375|}{1375}\times 100 \\Percent\:Error=\frac{|-1365|}{1375}\times 100 \\Percent\:Error=\frac{1365}{1375}\times 100\\Percent\:Error=0.99\times 100 \\Percet\:Error=99\%](https://tex.z-dn.net/?f=Percent%5C%3AError%3D%5Cfrac%7B%7CEstimated%5C%3Avalue-Actual%5C%3AValue%7C%7D%7BActual%5C%3AValue%7D%5Ctimes%20100%5C%5CPercent%5C%3AError%3D%5Cfrac%7B%7C10-1375%7C%7D%7B1375%7D%5Ctimes%20100%20%5C%5CPercent%5C%3AError%3D%5Cfrac%7B%7C-1365%7C%7D%7B1375%7D%5Ctimes%20100%20%5C%5CPercent%5C%3AError%3D%5Cfrac%7B1365%7D%7B1375%7D%5Ctimes%20100%5C%5CPercent%5C%3AError%3D0.99%5Ctimes%20100%20%5C%5CPercet%5C%3AError%3D99%5C%25)
So, the percent error is 99%