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Brums [2.3K]
2 years ago
8

Find the probability that a randomly

Mathematics
1 answer:
Alina [70]2 years ago
6 0

Answer:

31.8\%

Step-by-step explanation:

The area of the circle is A=\pi r^2=\pi(4)^2=16\pi

The area of the triangle is A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is \frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%

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Simplify y 2 + 4y - 16y + 3y 2.
lilavasa [31]

Answer:

-7y (2)

Step-by-step explanation:

8 0
3 years ago
A point is reflected across the x-axis. The new point is (7.5,6). What is the distance between these two points?
blagie [28]
Because it was reflected across the x axis, the distance between the two points is twice the distance of the old point from the x axis, and the distance from the old point from the x axis equals the distance from the new point to the x axis. The distance from the x axis is the absolute value of the x=y value. 7.5 is the y value, meaning the point is 7.5 units away from y=0, the x axis. The new point is twice this from the old point. 7.5 x 2 = 15. The new point is 15 units away from the old point.
4 0
3 years ago
HELP ASAP!! What’s the answer to this? (with steps)
Goshia [24]

Answer:

x = 13.5°

Step-by-step explanation:

Angles 2 + 3 = a straight line, so 180°

180 - 66 = 114 = angle 2

114 = 10x - 21

114 + 21 = 10x

135 = 10x

135 / 10 = x

13.5 = x

3 0
3 years ago
What is the volume, in cubic ft, of a rectangular prism with a height of 13ft, a width of 15ft, and a length of 9ft?
Norma-Jean [14]

Answer:

1755 ft³

Step-by-step explanation:

Volume of a rectangular prism = base area x height

Base area = length x width

15 ft x 9 ft = 135 ft²

Volume =  135 ft² x 13 ft = 1755 ft³

5 0
3 years ago
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
3 years ago
Read 2 more answers
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