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k0ka [10]
3 years ago
13

Hi does anyone know how to solve this question if so please show the working out.

Mathematics
1 answer:
tester [92]3 years ago
6 0

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

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Fill in the blanks with two consecutive integers to complete the following inequality.
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Answer:

<h2>11 and 12</h2>

Step-by-step explanation:

You know that 134 is between 11^2 and 12^2 which is 121 and 144.

So the two integers would be 11 and 12

Hope this helps :)

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Hayden is organizing his assets and liabilities in the table below. If his net worth is $17,550, then how much does he have in h
77julia77 [94]

Answer: His checking account balance is $2,800.

Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.

In other words, to determine his net worth, Hayden has to add up all his assets and from the total derived, deduct his liabilities.

Consider the calculations below;

NET WORTH: $17,550

Add ASSETS  

                         Automobile               13600  

                         Retirement Account   6700

                         Checking Account      XX

Less LIABILITIES

                          Student Loan            4800

                          Credit card debt          750

Net Worth                                            <u>17550</u>

The above table can be simplified as follows;

Net worth = Assets - Liabilities

17550 = 20300 + XX - 5550

Collecting like terms, you now have;

17550 -20300 +5550 = XX

2800 = XX

The Checking Account represented by XX is now calculated as $2,800

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120 beats per 45 seconds
fomenos

Answer: 120 beats per 45 seconds

Step-by-step explanation:

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