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NikAS [45]
3 years ago
5

If the value of "Y" varies directly with "X" and y=-8,when x=20,find "Y"if x=-4

Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

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pochemuha

The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Looking at the problem statement they are asking for us to determine the value of the unknown variable h.  We are given one angle along with two sides.

Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown.  We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).

<u>Trigonometric functions</u>

  • sin(\theta) = \frac{opposite}{hypotenuse}
  • cos(\theta) = \frac{adjacent}{hypotenuse}
  • tan(\theta) = \frac{opposite}{adjacent}

<u>Plug in the values</u>

  • sin(\theta) = \frac{opposite}{hypotenuse}
  • sin(36) = \frac{h}{15.6\ cm}

We know have an expression which contains everything that we need to determine the value of the unknown.  To help isolate h we need to multiply both sides by 15.6 cm which will isolate h.  After that we need to simplify the expression so we can get the value of h.

<u>Multiply both sides by 15.6 cm</u>

  • sin(36) * 15.6\ cm = \frac{h}{15.6\ cm}  * 15.6\ cm
  • sin(36) * 15.6\ cm = h

<u>Simplify the expression</u>

  • 0.5878 * 15.6\ cm = h
  • 9.169 = h

After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm.  We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.

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2 years ago
14. How many degrees does the minute hand of the clock go through between 6:47 and 11:18?
kompoz [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
If you know this, please help, thank you if so
s2008m [1.1K]
The answer is 8/27 just so you know
6 0
3 years ago
A student claims that the rectangular point below can be represented by the
Sladkaya [172]

Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number.  I like writing polar coordinates with a P in front to remind me.

It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.

P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )

P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )

That's true since when we add pi to an angle it negates both the sine and the cosine,

cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)

sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)

Answer: TRUE

3 0
3 years ago
Find x in This equation.<br> 2x+2=-4(x-5)
san4es73 [151]

Hey there!

2x + 2 = -4(x - 5)

2x + 2 = -4(x) - 4(-5)

2x + 2 = -4x + 20

ADD 4x to BOTH SIDES

2x + 2 + 4x = -4x + 20 + 4x

SIMPLIFY IT!

6x + 2 = 20

SUBTRACT 18 to BOTH SIDES

6x + 2 - 2 = 20 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: 20 - 2 because it help solve for the x-value

NEW EQUATION: 6x = 20 - 2

SIMPLIFY IT!

6x = 18

DIVIDE 6 to BOTH SIDES

6x/6 = 18/6

CANCEL out: 6/6 because it give you 1

KEE: 18/6 because it help solve for the x-value

NEW EQUATION: x = 18/6

SIMPLIFY IT!

x = 3

Therefore, your answer is: x = 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0
2 years ago
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