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swat32
4 years ago
9

Express answer in exact form. Show all work for full credit.

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
6 0

Answer:

Area = 23.38 square"

Step-by-step explanation:

It is given that a regular hexagon is having a side = 3"

Since hexagon is inscribed in a circle therefore all the triangles formed by the radii and the sides of hexagon will be equilateral triangles.

In a hexagon number of triangles formed = 6

Area of an equilateral triangle = 1/4s²√3

By putting the value of s = 3"

Area of one triangle = 1/4×3²√3 = (9√3)/4

and we know number of triangles formed inside the hexagon = 6

Therefore area of hexagon = 6×(9√3)/4 = 23.38 square"

Answer is 23.38 square"

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(question 4 only plz)
Hatshy [7]
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks

a) P(white) = \frac{2}{6} = \frac{1}{3}
    P(red) = \frac{1}{6}
    P(purple) = \frac{3}{6} =  \frac{1}{2}

b)Not white block:
   1 - \frac{1}{3}   OR   \frac{1}{2} + \frac{1}{6}
    \frac{2}{3}                 \frac{2}{3}
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.

c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12

P(white)=\frac{4}{12} which is still \frac{1}{3}

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12

P(purple)=\frac{5}{12}
(im not quite sure if my explanation here helps you though)

e) 1 more of white and purple, 5 more of red
  white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)

P(red)=\frac{6}{12} = \frac{1}{2}
  


5 0
3 years ago
F(x)=|x| to graph g(x)=|x|+3
Damm [24]

Answer:

the graph is as illustrated above

The absolute value of x is shifting 3 units up

7 0
3 years ago
Jason spent half of his allowance going to the movies. He washed the family car and earned seven dollars. What is his weekly all
Delvig [45]
13-7=6
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6 0
3 years ago
Read 2 more answers
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harina [27]

Answer: 4

The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given

Flip the sign to get -1/4 turn into +1/4 or just 1/4

Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.

Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.

5 0
4 years ago
Can anyone help me with this
Natalka [10]

F(x) = 2x and G(x) = x^2 + 2

(G - F)(x) just means we subtract the functions from each other.

x^2 + 2 - 2x

Let's rearrange the expression

x^2 - 2x + 2

5 0
3 years ago
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