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Snowcat [4.5K]
3 years ago
7

Two goals post are 8m apart. A footballer is 34m from one and 38m from the other. Within what angle must he kick the ball if he

is to score a goal?​
Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

  11.06°

Step-by-step explanation:

The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...

  c² = a² +b² -2ab·cos(C)

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

  C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)

  C ≈ 11.06°

From the footballer's viewpoint, the goal posts are 11.06° apart.

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<h2>x = -2 and x = -10</h2>

Step-by-step explanation:

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A large appliance such as a water heater is only running when it has clicked on and is actually heating water. The time your wat
mafiozo [28]

a) Total cost (per day) ≈ $1.40

​b) Total cost (per year) ≈ $510

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d) The number of years that the water heater pays for itself is; approximately 4 years

<h3>How to calculate Energy Bill?</h3>

Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

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Savings rate = 36%

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a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

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= 12.6 kilowatt-hours

​

The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

Total cost (per day) = 12.6 kilowatt-hours × $0.11 per kilowatt-hour

Total cost (per day) = $1.386

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b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

Total cost (per year) = $511

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​

c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

Thus;

New annual cost = $510 - $183 = $327

d) The number of years that the water heater pays for itself is;

1100/327 = 3.36 or approximately 4 years

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6 0
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Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according
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Answer:

<u>$33.25</u>

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Taking Eric's hours as a ratio to the total hours :

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Multiply the ratio into the amount paid :

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<u></u>

Eric's share of the money is <u>$33.25</u>

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