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ankoles [38]
4 years ago
8

It is given that q=(h^2-k^2)/(3m). Express k in terms of q, m and h.

Mathematics
1 answer:
Lemur [1.5K]4 years ago
8 0
q = \frac{h^2-k^2}{3m}  \\ 
q(3m)=h^2-k^2 \\
q(3m)-h^2=-k^2 \\
h^2-q(3m)=k^2 \\
k= \sqrt{h^2-q(3m)}
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Answer:

SA : 84.9cm³

Step-by-step explanation:

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3 years ago
The table shows the relationship between a hedgehog's
Tpy6a [65]

The weight would the hedgehog lose during 115 day in hibernation is 3.45 ounces.

<h3>How much weight would the hedgehog lose during 115 day in hibernation?</h3>

Using proportions, it exits found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

A proportional relationship exists modeled by: y = kx

In which k exists the constant of proportionality.

In this problem, the ratio between the weight loss after x days in hibernation is given by:

k = 0.24/8 = 0.84/24 = 2.25/75 = 2.79/93 = 0.03

Since this ratio exists constant, the relationship is proportional, modeled by:

y = 0.03 x

The weight lost after 115 days of hibernation is y(115), hence:

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6 0
2 years ago
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3 years ago
Luke is going to repaint both sides of the door of his room. The door is 36 inches long by 80 inches high. His options at the pa
RSB [31]
Alright so since the area of one side of the door is 2,880 inches squared and he wants to paint both sides, you must multiply that by 2.

2880 * 2 = 5760

Since he wants to put 2 coats of paint, this essentially means he wants to paint over everything twice so you must multiply by 2 once more.

5760 * 2 = 11520

This being the total surface area we are going to need to paint. So now we must discover the least amount of money Luke must pay. Knowing we need to cover 11,520 inches worth of door:

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3 0
3 years ago
How to get these variables?
garri49 [273]

Given:

Right triangle with one angle 45°

To find:

The value of q and r.

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Adjacent to θ = r

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Using trigonometric ratio formula:

$\tan \theta =\frac{\text{Opposite side to } \theta}{\text{Adjacent to } \theta}

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The value of tan 45° = 1

$1 =\frac{16}{r}

Do cross multiplication, we get

r = 16

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Do cross multiplication, we get

q=16\sqrt{2}

The value of r is 16 and the value of q is 16 \sqrt{2}.

5 0
3 years ago
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