All categories

2 years ago

HELP DUE IN 20 MINS! Leave answers as simplified fractions if necessary. m =??

Mathematics

2 answers:

mezya [45]2 years ago

3 0

The answer is M = -24

umka2103 [35]2 years ago

3 0

Answer:

-24

Step-by-step explanation:

12m+60=6m-84

-6m -60 -6m - 60

6m/6 =m

-144/6= -24

m=-24

You might be interested in

*URGENT* 40 POINTS<br> Determine the measure of angle ESA in the circle below. <br> Explain.

AnnyKZ [126]

Its 70 because it is

7 0

2 years ago

Help me asap …………..p

borishaifa [10]

Answer:

1.) Tan C = $\frac{12}{5}$

2.) Sin Z = $\frac{24}{26}$ or $\frac{12}{13}$ if reduced

3.) Cos A = $\frac{15}{17}$

4.) Cos A = $\frac{12}{37}$

Step-by-step explanation:

Let's keep in mind that;

Sin = $\frac{opposite}{hypotenuse}$

Cos = $\frac{adjacent}{hypotenuse}$

Tan = $\frac{opposite}{adjacent}$

Hope this helps!

5 0

2 years ago

Given an array arr, of type int, along with two int variables i and j, write code that swaps the values of arr[i] and arr[j].

ziro4ka [17]

Answer:

Step-by-step explanation:

6 0

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

3 years ago

Simply the radical expression 189

Wittaler [7]

Answer

Step-by-step explanation:

3 0

3 years ago