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HACTEHA [7]
3 years ago
9

two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ

le is 16 m and the radius of the smaller circle is 7.5 m. find the length of the corresponding arc of the smaller circle

Mathematics
1 answer:
Bond [772]3 years ago
3 0
the complete question in the attached figure

Let
A°-----------> <span>the same central angle

</span><span>For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360</span>°<span> (full circle) has a length of------------> 75.36 m 
 A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m 
 76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m

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Answer:

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Step-by-step explanation:

Given points are (-2,-2)\ and\ (4,6). We need to find the midpoint of the line segment.

The formula of finding midpoints between the point (x_1,y_1)\ and\ (x_2,y_2) is

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Let us plug the value in Equation (1)

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3 0
3 years ago
Please help!!!!!! ASAP
ICE Princess25 [194]

Answer:D

Step-by-step explanation:

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7 0
3 years ago
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nevsk [136]

Answer:

100

Step-by-step explanation:

if both sides are the same then you can mirror the angles only if there equal

5 0
3 years ago
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Help on number 8? Helper gets points. Please show work :p.
Monica [59]

Student P:

They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong

Student Q:

They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).

Complete set:

From the picture, it looks like the original problem was

-2.5(1.4+3.1)+6.9(-4.3)

Step 1: multiply

1.4(-2.5)+3.1(-2.5)+6.9(-4.3)

Step 2: subtract (add?) them all together

-3.5-7.75-29.67

Step 3 should equal -40.92

4 0
3 years ago
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chalr. If he pa
zlopas [31]
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7 0
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