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Ira Lisetskai [31]
2 years ago
5

How do i do 15, 16???

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0
  • It's very long so I'm not giving answers but here's how i would do it:
  1. use Pythagoras a^2 +b^2 = c^2 where c is the longest side
  2. use sine rule \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} where lower cases are the sides, and capitals are their opposite angles.

e.g for 15:

a = 3, b is missing, c = 10

A is missing, B is ?, C is 90

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Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
olga55 [171]
To get the solution of a set of equations means to get a point that satisfies both equations.

Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case

Part (2): 
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line. 
Therefore, we have infinite number of solutions

Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
Therefore, we have no solutions for this case.

7 0
3 years ago
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Find the surface area of the rectangle:<br> 8 cm<br> 5 cm<br> 12 cm
Ostrovityanka [42]
12cm is the surface
8 0
3 years ago
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The cost of tools for building the wind chimes is 130$ the costs of materials are 10$ Per wind chime what is the total cost to m
irakobra [83]

Step-by-step explanation:

Total cost

= Cost of tools + Cost of materials

= $130 + 100 * $10

= $1,130.

4 0
3 years ago
Mr.Vance's yearly taxable income is $35,675.What is the dollar amount taken out for taxes based on Mr.Vance's taxable income?
Archy [21]
This is an incomplete problem. The missing information is 

Each bulleted statement describes how the amount of income tax is determined for yearly income in different ranges.

1) Yearly incomes of $8,925 or less are taxed at a flat rate of 10%.
2) For yearly incomes from $8,926 to $36,250, the first $8,925 is taxed at 10% and any income beyond $8,925 is taxed at 15%.
3) For yearly income greater than $36,250, the first $8,925 is taxed at 10%, the next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at 25%

The taxable income of Mr. Vance corresponds to number 2.

⇒ 8,925 * 10% = 892.50
⇒ 35,675 - 8,925 = 26,750 * 15% = 4,012.50

Total tax = 892.50 + 4,012.50 = 4,905
5 0
3 years ago
Find the unit price for each option shown below. Round to the nearest cent when necessary. Option I: 10 candy bars for $6.75 Opt
natita [175]
Option I: 10 candy bars for $6.75 

<span>6.75/10 = 0.68 </span>

<span>Option II: 12 candy bars for $7.25 </span>

<span>7.25 / 12 = 0.60 </span>


6 0
3 years ago
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