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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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NEED HELP PLEASE FAST!
Aleks [24]
For one it would be c and d 
Two x is greater than seven 
three would be x is greater than or equal to 6 
Four would be subtract eight from both sides you get 24 and then divide by negative four which gets you negative six but then you have to turn the sign around. Number set would be anything above negative six,so like negative five, 52, and one
Five would be subtract 3 from both sides giving you 5 on the right side and then multiply by six on both sides giving you thirty on the right side, resulting in x is greater than or equal to thirty. Three numbers that would work would be thirty, fifty nine, and thirty five.
4 0
3 years ago
I NEED HILP PLS HOW IS THIS THE ANSWER....
Citrus2011 [14]

Answer:

The answer is correct, here's why:

Step-by-step explanation:

Dr. Silva's tank holds 15\frac{7}{8} gallons of gas.

She added 11.55 gallons to her tank to fill it up.

This means she must have had 5\frac{13}{40} gallons to start with because 5\frac{7}{8} - 11.55 = 5\frac{13}{40}

5 0
2 years ago
What is the equation of the circle?
MakcuM [25]

Answer:

○ \displaystyle (x - 4)^2 + (y + 2)^2 = 25

Explanation:

Accourding to one of the circle equations, \displaystyle (x - h)^2 + (y - k)^2 = r^2,the centre of the circle is represented by \displaystyle (h, k).Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}

Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.

Distanse Equation

\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}

Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

6 0
2 years ago
What value is closest to the area of the damaged section?
salantis [7]

Answer:

6.0 square feet

Step-by-step explanation:

6 ÷ 2 = 3(radius)

are of the damaged section = x

77/360 = x/3²π

=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number

5 0
3 years ago
Read 2 more answers
Whats a prime number
bezimeni [28]

A Prime Number can be divided evenly only by 1, or itself. 
<span>And it must be a whole number greater than 1.
</span>Example: 3 can only be divided evenly by 1 or 3, so it is a prime number.
6 0
3 years ago
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