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4 years ago

If AD = 2/3 AB , what is the ratio of the length of arc BC to the length of arc DE

Mathematics

2 answers:

uysha [10]4 years ago

6 0

You have :

--------------

DE arc = ( pi ) ( AD ) ( 2.36 radians / 2 pi radians ) = ( 2/3 ) ( AB ) ( 2.36 radians / 2 )

DE arc = ( 2/3 ( AB ) ( 1.18 radians )

BC arc = ( pi ) ( AB ) ( 1.18 radians / 2 pi radians )

BC arc = ( AB ) ( 0.59 radians )

BC arc / DE arc = ( AB ) ( 0.59 radians ) / ( 2/3 ) ( AB ) ( 1.18 radians )

BC arc / DE arc = ( AB ) ( 0.59 rad ) / ( 2/3 ) ( AB ) ( 1.18 rad )

BC arc / DE arc = ( 3/2 ) ( .59 rad / 1.18 rad ) = 3/4 <-------

ehidna [41]4 years ago

5 0

Answer:

Answer is 3/4

Step-by-step explanation:

Got it right on edmentum

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Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.

DaniilM [7]

Find the b value by plugging in the slope and known coordinates,

-2=0(4)+b
-2= 0+b
-2=b
You can also tell this without calculating since a slope of 0 will always have the same y value. Therefore if (4,-2) is on the line, the y value of the whole line must be -2.

Final answer: y=0x-2, which is y=-2

6 0

3 years ago

A bicycle tire has a diameter of 62 \text{ cm}62 cm62, start text, space, c, m, end text. What is the distance the bicycle tire

navik [9.2K]

Answer:

The distance bicycle tire travels is 1946.8 cm.

Step-by-step explanation:

Given:

Diameter of bicycle tire = 62 cm.

The bicycle tire travels in 10 revolutions.

Now, to find the distance the bicycle tire travels in 10 revolutions.

Diameter = 62 cm.

Radius (r) = $\frac{Diameter}{2}=\frac{62}{2}=31\ cm.$

So, we get the circumference first by putting formula:

$Circumference =2\pi r$

$Circumference =2\times 3.14\times 31\\\\Circumference =194.68\ cm.$

Thus, we get the circumference of tire 194.68 cm.

Number of revolutions the tire travels = 10.

Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

$194.68\ cm\times 10\\\\=1946.8\ cm.$

Therefore, the distance bicycle tire travels is 1946.8 cm.

4 0

3 years ago

Read 2 more answers

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters