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lora16 [44]
3 years ago
12

If y varies inversely as x, what is k when y=8 and x=4

Mathematics
2 answers:
8090 [49]3 years ago
5 0

Answer:

k = 32

Step-by-step explanation:

If y varies inversely as x

Then y = k/x

y = 8, x = 4

8= k/4

Cross multiply

k = 8 × 4

k = 32

nadya68 [22]3 years ago
4 0

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y \:\alpha\: \frac{1}{x}\\\\ \therefore \: y =\frac{k}{x}\:\:\:(k = constant)\\\\ \therefore \: xy = k \\   when \: y=8 \:  and \:  x=4, \: k = ? \\  4 \times 8 = k \\ \therefore \: k = 32

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A kite flying in the air has a 12 line attached to it. Its line is pulled taut and casts a 9 shadow. Find the height of the kite
alexira [117]

Answer:

8 (7.94)

Step-by-step explanation:

You can think of it as a geometry problem.

What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).

What you need to find is the height. We will call it H.

As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:

H^2 + 9^2 = 12^2

H^2 + 81= 144

H^2 = 63

Applying squared root in both sides

H = √63

H = 7,94

So, the height is approximately 8.

4 0
3 years ago
identify the initial amount,a,and the growth factor,b,in each exponential function.Break b into (1+r)where r is the rate of grow
Alla [95]

Given function : y=1.05(1.46)^x

We need to identify a " initial amount", b "growth factor", r " rate of growth".

We know, exponential growth formula

y=a(b)^x, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.

y=1.05(1.46)^x ⇔ y=a(b)^x.

We can see a= 1.05 and b = 1.46.

Now, b=1+r.

Therefore, 1+r =1.46.

Subtracting 1 from both sides, we get

1+r-1 =1.46-1

r = 0.46.

On converting 0.46 into percentage, we get

0.46 × 100 = 46.

Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.

5 0
2 years ago
Julian needs to spend at least seven hours each week practicing the drums. He has already practiced five and one third hours thi
nirvana33 [79]

Answer:

70 min

Step-by-step explanation:

If we take the hypothesis that by the end of the fifth day he had 5h20min drums practice then the remaining time to get to 7 hours practice time would be 1h40min.

7 0
2 years ago
In what ways was the introduction of imaginary numbers similar to the introduction of negative numbers and the introduction of i
raketka [301]

The introduction of imaginary numbers similar to the introduction of negative numbers through the determination of square root of a negative number.

<h3>Imaginary numbers </h3>

Complex numbers are square root of a negative number. Since a square root of a negative number  cannot be determined, it is always represented with "i"

Given the rational number √-4 for instance, this will result in complex number or imaginary number since it is a negative number.

Learn more on imaginary number here: brainly.com/question/10662770

7 0
2 years ago
Write the multiplicative identity using 9.
Scorpion4ik [409]

Answer:

3*3

Step-by-step explanation:

hope it helps you

thank you

5 0
2 years ago
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