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lawyer [7]
3 years ago
12

Helpppppppppppppp plssssss​

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

20 degrees

all angles must be equal and all angles add up to 60 degrees ;)

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Chloe received 86% on her first test, a 47/50 in her next test, and a 0.89 on her third test. List her percentages in order from
Mumz [18]

Answer:

  84%, 86%, 89%

Step-by-step explanation:

The three numbers, expressed as percentages, are ...

  • 86%
  • (47/50)×100% = 84%
  • 0.89×100% = 89%

Smallest to largest, they are 84%, 86%, and 89%. In the original form, they are 47/50, 86%, and 0.89.

7 0
3 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
3 years ago
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions
Volgvan

Answer:

B

Step-by-step explanation:

5 0
3 years ago
What is the least common multiple of 24 27 and108
brilliants [131]
The least common multiple of 24, 27, and 108 is 3
5 0
3 years ago
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Two cars leave the same place at the same time, but drive in opposite directions along a straight road. one car averages 35 mi/h
Goshia [24]

As we do not know the other cars avg speed we can not tell the answer. Please repeat the question.

6 0
3 years ago
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