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Alona [7]
2 years ago
7

Point P is the center of the circle below. What is the exact area

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

192π unit²

Step-by-step explanation:

Given that :

Radius = 24

Area of circle = πr²

Area = π*24²

Area = 576π in²

The Shaded area is 120°

Entire Circumference = 360°

Hence, shaded area = 120°/ 360° = 1/ 3 of the area

1/3 * 576π in²

= 192π unit²

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A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1
adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

M = \frac{x_1 + x_2 + ... + x_n}{N}

And the mean absolute deviation is calculated as:

MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0
2 years ago
Construct a quadrilateral ABCD in which AB = 4 cm, BC = 7 cm, angle A = angle C = 105 degree
Lelu [443]

Answer: see attachment

<u>Step-by-step explanation:</u>

Since A = C = 105° and D = 60°,

then A + B + C + D = 360°

     105° + B + 105° + 60° = 260°

               B + 270° = 360°

                          B = 90°      

     

7 0
3 years ago
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beks73 [17]
The answer is 4 x 1 3/4 =4 12/16
7 0
3 years ago
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Masja [62]
Theres 60 seconds in a minute. If it takes her 5 minutes, multiply 60 by 5. you will get 300. then all you will do is divide the meters by 300 seconds. you will get the answer of 1.5 metres per second.
6 0
2 years ago
madison and centerville are 6 cm apart on a map that has a scale of 1 cm : 11km. how far apart are the real cities
Anastasy [175]

Answer:

66 km

Step-by-step explanation:

6 * 11 = 66

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