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Dovator [93]
3 years ago
8

URGENT. Geometric Probability.

Mathematics
2 answers:
Orlov [11]3 years ago
6 0

Answer:

Step-by-step explanation:

The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:

A=\frac{1}{2}(6)(6.5)\\A=19.5

The area of the circle is:

A=\pi(4)^2\\A=16\pi\\A=50.26548

Divide the area of the triangle by the area of the circle:

\frac{19.5}{50.2654}*100=38.8%

hichkok12 [17]3 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

h=3*\dfrac{\sqrt{3}}{2}

Area of the triangle:

A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\

Area of the disk:

S=\pi*4^2=16\pi\\\\

Probability:

p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}

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svetoff [14.1K]

Given:

Point (7,12) is rotated 1260° counterclockwise about the origin.

To find:

The  x-coordinate of the point after this rotation.

Solution:

If a point is rotated 360 degrees then its coordinates remains unchanged.

If a point is rotated 180 counterclockwise about the origin degrees, then

(x,y)\to (-x,-y)

We know that,

1260^\circ=1080^\circ+180^\circ

1260^\circ=3\times 360^\circ+180^\circ

After 3\times 360^\circ rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

(7,12)\to (-7,-12)

The point (7,12) becomes (-7,-12) after rotation of  1260° counterclockwise about the origin.

Therefore, the x-coordinate of the required point is -7.

3 0
3 years ago
The table shows the profit ( in thousand) for each month of a business. Which power regression function best describes the data?
soldi70 [24.7K]

Answer:

the correct answer is A.

Step-by-step explanation:

Hope it will help you..

7 0
3 years ago
The quotient of y and 3 is 25
kozerog [31]
This will become y/3=25.
5 0
3 years ago
Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and tr
kow [346]

Answer:

41 cars and 86 trucks

Step-by-step explanation:

C+T=127

2C+4=T

C+(2C+4)=127

3C+4=127

3C=123

C=41When C=41,

41+T=127

T=127-41

T=86

3 0
3 years ago
PLEAS HELP ME OUT !!!!!!
Kamila [148]

Answer:

20

Step-by-step explanation:

the number line is patterned in twos, so the dot will be at 20, since its 4 spaces away from 12

3 0
2 years ago
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