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3 years ago

PLEASE HELP

Mathematics

2 answers:

enot [183]3 years ago

8 0

The triangles are shown to be similar, therefore

$\displaystyle \frac{54}{12} = \frac{x}{2} \\ \\
x = 2 \cdot \frac{54}{12} \\
x = 9$

The answer is 9 units

Lynna [10]3 years ago

5 0

I hope this helps!!

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Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap

MakcuM [25]

We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) d, d+3, d+4, d, d+2, d+5, d, d+3, d+6, d+1, d+4, and d+6. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.

5 0

3 years ago

Pls help pls pls pls pls URGENT!!!!!!!! PLS SOMEONEEEEE

almond37 [142]

Female students that participate: 51
male students that don’t: 30

3 0

3 years ago

Read 2 more answers

14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th

Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

The 5% of 130 = £6.5
Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = $\dfrac{136.5}{14}$

The cost of each friend = £9.75

Learn more about fractions here:

brainly.com/question/78672

#SPJ1

4 0

2 years ago

3/2 p - 14 = p + 13 Please help

VLD [36.1K]

Answer:

p=54 hope this helps

Step-by-step explanation:

4 0

2 years ago

Licemer1 [7]

Answer:106.38 feet

Step-by-step explanation:

This can be solved by using pythagoras theorem

c=110 feet

b=28 feet

a=?

a=sqrt(110^2-28^2)

=sqrt(12100-784)

=sqrt(11316)

=106.3766 feet

=106.38

3 0

3 years ago