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2 years ago

6

A swimming pool fills 1/10 of the pool in 1/5 of an hour. At this rate, how long does it take to fill up the pool? Show ALL your

work.

1 answer:

Cloud [144]2 years ago

7 0

Answer:

i got 20 hours

Step-by-step explanation:

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A given line has the equation 2x+12y=-1.

PolarNik [594]

<span>2x+12y=-1
</span>y = -1x/6 -1/12

Perpendicular lines<span> are </span>lines<span> that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Therefore, the slope of the perpendicular line in this problem is the opposite reciprocal of -1/6 which is 6. The equation would be

</span><span>y=(6)x+9</span>

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2 years ago

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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge

jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

$a^{2} +b^{2} =c^{2}$

$(3.3)^{2} +b^{2} =(5.2)^{2}$

$b^{2} =(5.2)^{2}-(3.3)^{2}$

$b =\sqrt{(5.2)^{2}-(3.3)^{2}}$

$b=4.0187...$

$b=4.0 m$

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

$c^{2} =a^{2} +b^{2} -2ab(cos(C))$

$(3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))$

$cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}$

$C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})$

$C=39.3915...$

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

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2 years ago

Find the size of angle x

madam [21]

Answer:

X=180-124

X=56

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Sry it look like that but anyways please hurry

lakkis [162]

Answer:

1. subtract by 12 on both sides

2. Divide both sides by -8

Step-by-step explanation:

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2 years ago

The linear equation y=2x represents the cost y for x pounds of apples.Which ordered pair lies on the graph of the equation?

Yuri [45]

Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!

Step-by-step explanation: hope this helps have a great day!

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3 years ago