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Sidana [21]
3 years ago
7

41. A person on a Ferris wheel sits a distance of 45 feet from the Ferris wheel's center. If they

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

(1) 39 feet

Step-by-step explanation:

Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.

sin x = opposite/hypotenuse

sin 120 = vertical distance/ 45 feet

vertical distance = 0.8660 * 45 feet

vertical distance =38.97 feet = 39 feet

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Calculate the annual return percentage
const2013 [10]
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0
3 years ago
Simplify.
WITCHER [35]

Answer:

20x + 22

Step-by-step explanation:

34- 4x + 12x -12 +12x

step 1: 34 - 12 = 22

now you have left: -4x + 12x +12x

step 2: 12x +12x = 24x

step 3: 24x - 4x = 20x

Now you will combine the two answers you got: 20x +22

Hope this helps :)

6 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!
expeople1 [14]

Answer:

Step-by-step explanation:

2nd one

6 0
3 years ago
Which is greater 1.56 or 1.29
ruslelena [56]

Answer:

<u>1.56 is greater than 1.29</u>. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

8 0
2 years ago
Read 2 more answers
A retiree invests $5,000 in savings plan that pays 4% per year. What will the account balance be at the end of the first year ?
Ira Lisetskai [31]
$5000 + 4% = $5000.04
3 0
3 years ago
Read 2 more answers
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