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ahrayia [7]
2 years ago
9

Look at the diagram below... I need help!

Mathematics
1 answer:
sdas [7]2 years ago
7 0
If < 3 is 36 than the one across is also 36. You can calculate the < next to a given one, by subtracting it by 180.
A: < 1 is 36 degrees and < 4 is 144 degrees.
B: X=47

I found B by setting the values as equal and solving (In the picture).


Hope this helped!

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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
3 years ago
The mean and the median are the same.<br> 2,3,4,5
Ber [7]

Step-by-step explanation:

mean \: ( \bar  x) =  \frac{2 + 3 + 4 + 5}{4}  =  \frac{14}{4}  = 3.5 \\  \\ median \: =  \frac{3 + 4 }{2}  =  \frac{7}{4}  = 3.5 \\  \\

Thus, mean and median are same.

7 0
3 years ago
Trigonometry help?? Thank you so much!!
liq [111]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

7)

a + 120 = 180

a = 60

b + 80 = 180

b = 100

8)

5c + 4c = 180

9c = 180

c = 20

9)

3d + d = 180

4d = 180

d = 45

6 0
3 years ago
Increase 47 litres by 5%
Morgarella [4.7K]
49.35 litres

47 times 1.05=49.35

(Sheldon got it right first)
5 0
3 years ago
Read 2 more answers
The price of a stock went from $100 to $99.80. What was the percentage of decrease?
Brums [2.3K]
.20 is the correct answer because 100-99.80
3 0
3 years ago
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