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3 years ago

If Aaliyah runs 212 miles each day, how many miles will Aaliyah run in 3 days?

Mathematics

1 answer:

ss7ja [257]3 years ago

8 0

Answer:

636.

Step-by-step explanation:

Simply,

Multiply the given number by the amount she will run in 3 days.

212

x 3

636

Hope this helped!

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Write this ratio in its simplest form 5kg : 20g

nalin [4]

Answer:

1kg : 4kg

Step-by-step explanation:

You need to simplify the current equation

5 : 20

Divide both sides by 5

5/5 : 20/5

1 : 4

1kg : 4kg

Hope this helps!

Plz name brainliest if possible!

3 0

3 years ago

Read 2 more answers

Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9

taurus [48]

From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
$\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)$
and
$\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)$

Angle θ is given by
$\theta=180-M-N \\ \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)$

Given that a = 4 units, b = 5 units, and c = 9 units, thus
$\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)$

To maximixe angle θ, the differentiation of θ with respect to x must be equal to zero.
i.e.
$\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\ \\ -4(x^2+81)+9(x^2-10x+41)=0 \\ \\ -4x^2-324+9x^2-90x+369=0 \\ \\ 5x^2-90x+45=0 \\ \\ x^2-18x+9=0 \\ \\ x=9\pm6 \sqrt{2}$

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
$x=9-6 \sqrt{2}=0.5147$

Therefore, The distance from A of point P, so that angle θ is maximum is 0.51 to two decimal places.

6 0

3 years ago

10 points please help and explain how ;) brainliest answer first person to get it right

OverLord2011 [107]

Answer:

Open dot at -1 and shaded to the right.

Step-by-step explanation:

First you have to solve the inequality are you get |y|>-1

Now you can plot the inequality by placing an open dot on -1 since the inequality is greater than.

Since the inequality is greater than, you also have to shade when all y values are greater than -1 so you would shade to the right.

5 0

3 years ago

Which of the following is the rational exponent expression of sixth root of f?

MAXImum [283]

The rational exponent expression of sixth root of f is f to the one sixth power
proof
A^1/n, is called n-th root of A, for all n differ from zero

7 0

3 years ago

Read 2 more answers

Someone please help and correct me if im wrong and explain all of it if I am please!!:) 25pts

allochka39001 [22]

*Yes, B, C, and D are correct. -15, -10.5, and -7.5 are solutions to x<-7*........................... ...................................................................................................................................... *8y – 24 > –16............................................................................................................. 8y>8 ADD 24 to both sides ....................................................................................... y>1 so C. divide both sides by 8................................................................................. It is not A because the opposite of subtracting 24 is adding 24. So you add 24 to both sides to undo the subtraction. -16+24=8 Then you divide both sides by 8, which gives you y>1. I think you probably subtracted 24 from -16 instead of adding it.*......................................... ...................................................................................................................................... *I'm not sure what to make of the third one, is that a number line or...?*............................... ...................................................................................................................................... *- t/5 ≥15 ........................................................................................................................ -t ≥ 75 MULTIPLY both sides by 5.................................................................................... t ≤ -75 divide both sides by -1, and flip the sign, because when dividing an inequality by a negative number you must flip the sign.............................................................................. So A would be correct. .................................................................................................... I believe if you divided the 15 by 5 and didn't flip the sign you would get D.*......................... Also, sorry, my enter key isn't working right, so it's all scrunched together.

4 0

3 years ago