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Maru [420]
3 years ago
14

The lighthouse on the beach casts a shadow that is 48 feet long. Your friend is 5.5 feet tall and casts a shadow that is 2.2 fee

t long. What is the height of the lighthouse?
Mathematics
2 answers:
Deffense [45]3 years ago
3 0
Let H = height of the lighthouse
5.5/2.2 = H/48
5/2 = H/48
H = 5*48/2 = 120 feet
Ilya [14]3 years ago
3 0

Answer: The height of the lighthouse= 120 feet.


Step-by-step explanation:

Let the shadow cast by lighthouse on the beach and the friend occur on the same time, then the triangle formed by lighthouse and its shadow and the triangle formed by friend and its shadow must be similar.

We know that the sides of two similar triangles are proportional.

Therefore,

\frac{\text{height of lighthouse}}{\text{length of shadow cast by lighthouse}}=\frac{\text{height of friend}}{\text{length of shadow cast by friend}}

\\\Rightarrow\frac{\text{height of lighthouse}}{48}=\frac{5.5}{2.2}\\\Rightarrow\text{height of lighthouse}=\frac{5.5}{2.2}\times48\\\Rightarrow\ \text{height of lighthouse}=5\times24=120\ feet


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Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line i
scZoUnD [109]
<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F, or 4th person's age = -32/-1, or 32

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

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6 0
3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
2 years ago
HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!<br><br><br> Please explain this!!!
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First, multiply the first equation by 3 to get:

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3 years ago
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Answer:

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3 years ago
How many different strings can be made from the letters in MISSISSIPPI, using all the letters
leonid [27]
Hello,

Answer is 11!/(1!*4!*4!*2!)=34650

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