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3 years ago

Which statement is true?

Mathematics

2 answers:

guapka [62]3 years ago

8 0

C. The numbers on a horizontal number line are orientated from left to right.

Numbers on a vertical number are line go from botton up, not top to bottom of right to left.

Phoenix [80]3 years ago

3 0

Answer:

Step-by-step explanation:

The numbers on a horizontal number line are oriented from left to right>

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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

Help me please urgent

marissa [1.9K]

360-150-150=60 arc ac=60, the measure of arc is same as central angle and inscribe angle is half of central angle so answer is 30

5 0

2 years ago

HELP FOR BREANTEST ANSWER ON PAPER

nevsk [136]

Answer:

3 3/7

Step-by-step explanation:

2 = 14/7

14/7 + 10/7 = 24/7

24/7 simplified is 3 3/7

8 0

2 years ago

LC Motor Sales conducted a survey to find out why people who bought cars at the dealership did not use it for ongoing service. T

Alenkasestr [34]

Answer: D

Step-by-step explanation:

42+23+102+124+17+26 = 334 total responses

LC Motors charged too much = 102

102/334 = .305..

Move the decimal 2 places to the right = 30.5

Rounds to 31%

8 0

3 years ago

Can you guys help me with this? Pls, Okay anyways.. Its a math problem! To make a Fruit salad, Chris bought 3 pounds of strawber

Nezavi [6.7K]

Answer:

$33.81

Step-by-step explanation:

(3 * 2.49) + (2 * 3.19) + (4 * 4.99)

7.47 + 6.38 + 19.96 = 33.81

Please mark brainliest if you like

8 0

2 years ago