145,300 X .2 = 29,060
you multiply .2 because that is equal to 20% in decimal form, and you are finding out how much the insurance covers
therefore your answer would be 29,060 dollars
Sin 45 = X / 14
X = 14 * sin45
X = 7√2≈9.89949
Thus ladder will reach to ≈ 9.9 (rouded-up) foot height in the building
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
Answer:
27
Step-by-step explanation:
Choose two outputs that are 3 values apart and find their ratio:
... f(3)/f(0) = 216/8 = 27
Ok listen close. Put 538 on top and 046 on the bottom. Line them up so you don't get confused. don't forget it's multiplication. Start from right to left. Your going to have to cancel out each of the bottom numbers. Cool. Now here's the equation. multiply 8x6. it's 48. put the 8 under the 6 and the 4 small up by the 3 in the 538. That's a remainder. Now it's time for the 3x6 with the remainder of 4. it's 18. now add the remainder to 18. 4+18=22. Put the single 2 next to the other answer just to the left. It should look like blankspacebecauseequationisn'tdone 28. Now Put the remainder (2) small right by the 5 in 538. Next is 5x6 with the remainder. It's 30+remainder of 1= 31 put both those numbers down next to the 28 answer space. It's now 3,128. Now this is where it gets tricky. put a 0 DIRECTLY BELOW the 8 in 3,128. This is for an equation later. Now you worked through the 6 part of 46, now you only have the 4 to work through. Now let's work through 8x4. it's 32. put the 2 right next to the 0 in the answer part. Put the remainder next to the 3 in 538. Now it's 3x4 +the remainder of 3. It's 12+ 3 + 15. Put the 5next to the 20 in the answer section under 3,128. It should look like blablabla 520. Now let's work out 5x4 With the remainder of 1 from the 15. It's 20 + 1= 21. Put the 21 right next to 520. It should look like 21,520. Now to finish this equation, add the top number 03,128 and the bottom number 21,520. Here if it's easier the equation. 03,128+21,520 which equals 24,748. Hope that helped!
