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2 years ago

Two bikers are riding a circular path.

Mathematics

2 answers:

kolbaska11 [484]2 years ago

8 0

<h2> $\huge \mathfrak \orange{Question}$ </h2>

Two bikers are riding a circular path.

The first rider completes a round in 12

minutes. The second rider completes

a round in 18 minutes. If they both

started at the same place and time

and go in the same direction, after

how many minutes will they meet

again at the starting point?

<h2> $\huge \mathfrak \orange{Solution}$ </h2>

$\huge \mathsf \blue{Given}$

First rider takes 12 minutes to complete a round.
Second rider takes 18 minutes to complete a round.

$\huge \mathsf \blue{To\: Find}$

After how many minutes will they meet

again at the starting point?

Take the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

Thus, the LCM of 12 and 18 is 36.

<h3>So they will meet after 36 minutes again at the starting point.</h3>

Arturiano [62]2 years ago

7 0

Answer:

Find the LCM of 12 & 18 .

12 = 2×2×3

18 = 3×3 ×2

So , LCM of ( 12 , 18 ) = 2×3×2 = 36

<h2>Therefore he meet after 36 minutes at starting point..!!</h2>

<h2 /><h2>Hopefully u will satisfy with my answer of ur question..!!</h2>

<h2>Have a nice day ahead dear..!!</h2>

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If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
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\textit{now to convert it to miles/hr}
\\\\\\
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3 years ago

Can someone go over my work please? thanks!

LenKa [72]

Answer:

Good job they are all right!

Step-by-step explanation:

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2 years ago

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mariarad [96]

Plus or minus 3. (The 1st answer)

x^2 means (-3*-3) which equals 9

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7 0

3 years ago

Read 2 more answers

Find m∠DEC (the picture is not drawn to scale).

pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x Remove parenthesis

2x - 57 = x Combine like terms

2x = x + 57 Add 57 to both sides

<u>x = 57</u><u> Subtract x from both sides</u>

Finding m∠D:

x - 45 = ?

Finding m∠C:

x - 12 = ?

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

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3 years ago

A pebble falls of a cliff at a height of 256 ft. If the equation for the height as a function is h(t)=-16^2 + initial height whe

AlladinOne [14]

Answer:

After 4secs

Step-by-step explanation:

Given the function of the height expressed as;

h(t)=-16^2 + initial height

If initial height = 256, then;

h(t) = -16t^2 + 256t

The pebble will hot the ground at when h(t) = 0

Substitute

0 = -16t^2 + 256t

16t^2 = 256

t^2 = 256/16

t^2 = 16

t = 4

Hence the pebble will hit the ground after 4secs

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2 years ago