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Brums [2.3K]
3 years ago
12

Given that y varies directly with x and that y = 60 when x = 20, find y when x = 12.

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

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baherus [9]

Answer:

21.38

Step-by-step explanation:

Find the diagram attached

In order to get PS, we need to get the length of QS first

According to triangle QRS;

QS =opposite

QR = 39(adjacent)

Using SOH CAH TOA

Tan theta = opp/adj

Tan 28 = QS/39

QS = 39tan28

QS = 39(0.5317)

QS = 20.74

Get PS

sin theta = QS/PS

sin 76 = 20.74/PS

PS = 20.74/sin76

PS = 20.74/0.9703

PS = 21.38

Hence the length of PS is 21.38

4 0
3 years ago
Which of the following is a factor of 2x4 + 22x3 + 60x2?
alex41 [277]
For the answer to the question above, 
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<span>GCF: 2x^2 </span>

<span>2x^2(x^2 + 11x + 30) =
So the following factor for the problem above is
2x^2(x + 6)(x + 5) 
</span>
If you want to double check, just multiply the answer.
I hope my answer helped you.
3 0
4 years ago
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Step-by-step explanation:

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