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Nady [450]
2 years ago
4

Two bike riders ride around a circular path. The first rider completes one round in 12 minutes and the second rider complete it

in 18 minutes. If they both start at the same place and the same time and go in the same direction, after how many minutes will they meet in the same place again?
Mathematics
1 answer:
Olegator [25]2 years ago
3 0
Every 12 minutes, rider A reaches the start (that is, 12, 24, 36, ...)
Every 18 minutes, rider B reaches the start (that is, 18, 36, ...)

Then, rider B takes the same amount of time to finish 2 laps compared to rider A finishing 3 laps.
Thus, they will meet again after 36 minutes.


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Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
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Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(A)}=\frac{2}{sin(30^o)}

sin(A)=1

so

A=90^o

Find the measure of angle C

In a right triangle

we know that

B+C=90^o ----> by complementary angles

B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}

c=2\sqrt{3}\ units

therefore

The dimensions of the triangle are

A=90^o

B=30^o

C=60^o

a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

so

using a calculator

B=14.48^o

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

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For the equations y=3.5x and y=25x + 40.50, x represents time in hours and y represents cost in dollars . Which equation is not
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Answer:

y=25x+40.50 is not the equation of proportional relationship because if you were to graph the equation, the line would not go through the origin of the graph. You can tell beause of the y-intercept that is given in the equation, 40.50.

Step-by-step explanation:


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Answer:

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Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

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In this item, we let x be the number of corns and Y represent soybeans. The sum of these variables is 400. This is represented by the equation,
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