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Readme [11.4K]
2 years ago
11

In circle M with m \angle LMN= 98m∠LMN=98 and LM=18LM=18 units, find the length of arc LN. Round to the nearest hundredth.

Mathematics
1 answer:
Feliz [49]2 years ago
5 0

Answer:

To the nearest hundredth, this is 30.79 units

Step-by-step explanation:

To find the length of the arc, we simply apply the length of arc formula

Mathematically, that would be;

theta/360 * 2 * pi * r

Theta here is 98

r is 18 units

So the length of the arc will be;

98/360 * 2 * 22/7 * 18

= 30.7876 units

to the nearest hundredth, this is;

30.79 units

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It will take 22 minutes



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43 centimeters converted into a decimal
anzhelika [568]

43.0 or if your changing it to kilograms 0.00056 kilograms would be the answer.
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3 years ago
A rectangle has an area of 75.2m
Degger [83]

Answer:

94.8

Step-by-step explanation:

Aera is : length *width

75.2 = 0.8 * x then x =94

Perimeter is : length + width =94 +0.8

3 0
2 years ago
From the given sides of 16, 14, and 21, determine what type of triangle it will form (right, acute, obtuse, none).
Komok [63]

Answer:

It is an acute triangle.

Step-by-step explanation:

It would be much easier for you to see where I'm getting at if you draw a diagram.

Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.

cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))

∠A = cos^-1(0.82291...)

∠A ≅ 34.6°

cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))

∠B = cos^-1(0.024...)

∠B ≅ 56.8°

∠C = 180 - (∠A + ∠B)

∠C ≅ 56.8°

Since there is no right-angle nor is there an obtuse angle,

Therefore the triangle is an acute triangle.

4 0
3 years ago
Nina needs to purchase 1/3 of a pound of chicken for each person in her family. There are eight people in her family. How many p
4vir4ik [10]

Answer:

2\frac{2}{3} pounds

Step-by-step explanation:

Each person will eat 1/3 pound of chicken, and there are 8 people. So, we want eight 1/3 pounds. We can write this as an addition problem:

1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3

This addition problem is equivalent to the multiplication problem: 8 * (1/3)

Both will yield the same result: 8/3 pounds = 2\frac{2}{3} pounds, and that's the answer.

Hope that helps!

3 0
3 years ago
Read 2 more answers
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