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kolezko [41]
4 years ago
11

What is the probability that a point chosen at random in the regular hexagon lies in the shaded region? A 1/3 B 2/5 C 1/2 D 2/3

Mathematics
2 answers:
kondaur [170]4 years ago
8 0
Answer: option A) 1/3

Justification:

1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:

  area of the shaded region
---------------------------------------
     area of the hexagon

2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.

3) Therefor,naming x the area of one triangle, the the above fraction is equal to:

  area of two triangles           2x        
------------------------------- =    --------   = 2/6 = 1/3
  area of six triangles            6x

And that is the answer: 1/3
</span>
aleksandr82 [10.1K]4 years ago
7 0
C Is the final answer
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Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account an
Brrunno [24]

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

6 0
3 years ago
Pamela's age is two times Jiri's age. The sum of their ages is <br> 33<br> . What is Jiri's age?
notka56 [123]
Let x is Jiri's age
2x is Pamela's age

x + 2x = 33
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x = 33/3
x =11
Answer: Jiri's age is 11
4 0
3 years ago
Read 2 more answers
Which theorem or postulate justifies that angle HEF ~ angle HGE ?
Levart [38]
Based on the picture above,
The theorem or postulate that justifies that Angle HEF ~ angle HGE is :
A. AA similarity postulate
(s is used for equal side, that is used for congruent)

hope this helps
5 0
4 years ago
A book sold 35,600 copies in its first month of release. Suppose this represents 6.6% of the number of coples sold to date.
kifflom [539]

Answer:

5000

Step-by-step explanation:

6 0
3 years ago
Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
Arturiano [62]

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

AP=\frac{2}{3} AB

and

AP_x=\frac{2}{3} AB_x

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

AB_x=8-2=6\ units

AP_x=\frac{2}{3} (6)=4\ units

The x-coordinate of P is equal to

P_x=A_x+AP_x

where

A_x represent the x-coordinate of A

substitute the values

P_x=2+4=6

therefore

The x-coordinate of point P is 6

6 0
3 years ago
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