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cricket20 [7]
3 years ago
14

Using the law of cosines, in angle RST if r = 14 yd, s = 9yd, and t = 6yd, find angle S

Mathematics
1 answer:
Andrews [41]3 years ago
4 0
Angle S is 64.62
1.  Draw your picture.
2. Find invert cosine of 6/14
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The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
3 years ago
The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already
Anna [14]

Answer:

x=44x(6,000)x1,210

Step-by-step explanation:

7 0
2 years ago
26. 4x + 6/2 = 3x +15/3
Arturiano [62]

Answer:

x=2

Step-by-step explanation:

Hope it helps you!

4 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to
Pepsi [2]

Answer:y=-1/4x+3

Step by step explanation: i cant explain it

7 0
2 years ago
60 eggs is $3.88 what is cost per ounce/individual item
Lena [83]

Answer: 6 cents

Step-by-step explanation:

Divide total price by number of units

3.88 divided by 60 is .064 which rounds to .06 or 6 cents

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3 years ago
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