We have to find the period of the parent cosine function and the period of the function showed on the graph.
Period = 2π / B, where B is the coefficient of x - term.
1. For the function: y = cos x, B = 1
Period = 2 π / 1 = 2 π = 360°.
2. For the graphed function ( from the picture ):
Period = 6 π = 1,080°
Answer: 28 feet.
Step-by-step explanation:
Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.
The total depth of the lake = 32 feet
Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim=![\frac{7}{8}\times32\ feet](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%5Ctimes32%5C%20feet)
Since, ![32\div8=4](https://tex.z-dn.net/?f=32%5Cdiv8%3D4)
therefore, ![\frac{7}{8}\times32=7\times4=28](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%5Ctimes32%3D7%5Ctimes4%3D28)
Hence, the fish swim 28 feet in lake.
Answer:
1:3
Step-by-step explanation:
5 is 1/3 of 15
hope this helps! :)
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
![\frac{2}{15} = \frac{x}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B15%7D%20%3D%20%5Cfrac%7Bx%7D%7B10%7D%20)
now let's multiply both sides by 10:
![\frac{20}{15} = x](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B15%7D%20%3D%20x%20)
and simplyfy:
(by dividing the first fraction's elements by 5)
![\frac{4}{3} = x](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%3D%20x%20)
change improper fraction into a mixed number
![1\frac{1}{3} = x](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B3%7D%20%3D%20x%20)
and 1 over 3 is 0.33333...
so the answer is 1.333333 - we can also write it as 1.(3)
Percent increase
find increase first
10500 to 11300
11300-10500=800
so
percent increase
change/original
origianal=10500
change=800
800/10500=8/105=0.0761
percent means parts out of 100
0.0761/1 times 100/100=7.61/100=7.61%
rond 7.61% to tenth or to 7.6%
7.6%