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2 years ago

Could somebody solve a and c for me? Please help!

Mathematics

2 answers:

andrezito [222]2 years ago

7 0

Answer:

The dude up there is correct

Step-by-step explanation:

WARRIOR [948]2 years ago

3 0

Answer:

a:75

c:11

Step-by-step explanation:

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soldi70 [24.7K]

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2 years ago

30% of 40% is equal to 20% of what?

ICE Princess25 [194]

I think its the answer is 10%

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2 years ago

You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along

sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

$d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}$

Then, the time (speed divided by distance) is:

$t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1$

To optimize this function we have to derive and equal to zero:

$\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\ \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\$

$x$

As $d_b=x$ , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line m has no y

goblinko [34]

If the line does not have a y int, then it means it does not cross the y axis....that means it is a vertical line.....its x int is (3,0)...so this equation for the line is x = 3

if the line does not have an x int, it means it does not cross the x axis...that means it is a horizontal line...its y int is (0,-4)...so the equation for this line is
y = -4

4 0

2 years ago

Read 2 more answers

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.

balu736 [363]

1/6 = 1 batch, 2/6 = 2 batches and so on

if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.

<em>hope it helps :)</em>

8 0

2 years ago