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frozen [14]
2 years ago
7

Identify the equation of direct variation given that y varies directly with x. y is 75 when x is 5.

Mathematics
1 answer:
iren [92.7K]2 years ago
7 0

Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

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rewona [7]
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3 years ago
In JKL. solve for x <br><br> 66.73<br> 74.89<br> 15.44<br> 38.16
liq [111]
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, \displaystyle{\sin27^{\circ}= \frac{34}{x}


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Answer: 74.89
5 0
3 years ago
Bert has three times as much money as Ernie. If Ernie spends $6 on a new rubber ducky, then Bert will have five times as much mo
fomenos

Answer:

Bert has $45.

Step-by-step explanation:

I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and  could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.

Checking this answer:

It is always important to check your answer after finishing the problem, so this is how I checked my answer:

1. 45 divided by 3 = 15

2. 15 - 6 = 9, and 9 is 1/5 of 45

Bert has $45.

5 0
3 years ago
Fill in the blank <br><br><br><br><br> …………………..
Mumz [18]
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6 0
3 years ago
Read 2 more answers
in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that
ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0
3 years ago
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