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IgorLugansk [536]
2 years ago
14

Tan100°= 1. tan80° 2. tan280° 3. -tan80°

Mathematics
1 answer:
lana [24]2 years ago
3 0

Answer:

  2.  tan 280°

  3.  -tan 80°

Step-by-step explanation:

Your calculator can help you figure this out.

__

The tangent function is periodic with a period of 180°, so tan(100°) will be equal to tan(100°+k·180°) for any integer k. Answer choices include k values of ±1, so two of them are correct:

  • tan(100°) = tan(100° -180°) = tan(-80°)
  • tan(100°) = tan(100° +180°) = tan(280°)
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Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat
Karolina [17]

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

A=p(1+r)^t

substituting we have

A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\

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6 0
2 years ago
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much
Mama L [17]
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
 For this case we must first take the amount $ per month.
 We have then:
 1 $ ---> 4000
 x = ----> 320000
 Solving for x we ​​have
 x = (320000/4000) * (1) = $ 80 / month
 We have then that 1 year two 12 months
 ($ 80 / month) * (12 months / 1 year) = $ 960 / year
 Answer
 the factory worker make 960 U.S. in dollars per year

 2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?

 For this case, the first thing you should know is that a week has 7 days.
 We can make a rule of three to find the number of ounces per week
 3 ---> 1
 x = ----> 7
 x = (7/1) * (3) = 21ounces / week
 Then, we should do the conversion of ounces to pounds
 1 oz = 0.0625 pounds
 Thus,
 (21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
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 3 ounces of fish per day is 1.3125 pounds / week

 3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?

 The first thing you should know in this case are the following conversions:
 1 year = 365 days
 1 inch = 2.54 centimeters
 We have the annual average rainfall is
 500 (inches / year)
 Making the conversion we have
 500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
 3.45 (centimeters / days)
 Answer
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4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
 The first thing you should know for this case are the following conversions
 1 hour = 60 minutes
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7 0
3 years ago
there are 13 animals in the barn. some are chickens and some are goats. there are 48 legs in all. how many of each animal are th
romanna [79]

Answer:

Step-by-step explanation:

chickens + goats = 13

so...

c + g = 13, so...

g = (13 - c)

2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...

2c + 4(13-c) = 48, so

2c + 52 - 4c = 48, so

-2c = -4, so

2c = 4, so

c = 2.

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5 0
2 years ago
What type of number is Square root of two
DochEvi [55]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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