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Marta_Voda [28]
4 years ago
14

Three friends got the prize money worth ​$231,000

Mathematics
2 answers:
Semmy [17]4 years ago
6 0

Answer: y = $11,000

z = 4($11,000) = $44,000

x = 4($44,000) = $176,000

Step-by-step explanation:

Degger [83]4 years ago
5 0
There are three unknowns in this problem. First, let's assign variables for these unknowns.

Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend

Next, we formulate equations for the relationships

x = 4z
z = 4y
x + y + z = <span>$231,000

Solving simultaneously,

4(4y) + y + 4y = </span><span>$231,000
21y = </span><span>$231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000</span>
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Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6

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Step-by-step explanation:

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<h3>How to find an angle in an unit circle</h3>

<em>Unit</em> circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and <em>trigonometric</em> functions related to them. If we use <em>rectangular</em> coordinate system and the definition of the <em>tangent</em> function, we find that the angle OA is equal to:

\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}

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Step-by-step explanation:

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