The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

Learn more about the distance formula here:

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Answer:

30

Step-by-step explanation:

Answer:

108 cookies total

Step-by-step explanation:

19+89=108

Answer:

108

Step-by-step explanation:

Good Luck!

Answer:

(9,3)

Step-by-step explanation:

m={(x1+x2)/2,(y1+y2)/2}

m={(8+10)/2,(2+4)/2}

m={9,3}

Hope that helps :)

Answer:

Mean = 59

Median = 58

Step-by-step explanation:

Given the data for a Javelin throw :

56, 58, 63, 57 61 meters

Reordering the data: 56, 57, 58, 61, 63

Mean, m = Σx / n

n = sample size = 5

m = (56 + 57 + 58 + 61 + 63) / 5

m = 295 / 5

m = 59

The median : 1/2 (n+1)th term

1/2(5 +1) the term

1/2(6) = 3rd term

Median value = 58

Answer:

1,4.560

Step-by-step explanation:

I am not so sure.

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. There are three ways to find that maximum, depending on which form of a quadratic you have.

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Answer:

they are already answered

Step-by-step explanation:

Right?

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

Answer:

For #1: D.

for #2: A.

Step-by-step explanation:

I know #1 is D. because none of the other ones make sense but for #2 none of them make sense but A and C and C. missed a comma so it has to be A.

hope this helps! <3

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

Answer:

y = 3x -13

Step-by-step explanation:

y = 3x + 7

-1 = 3(4) + b

-1 = 12 + b

-13 = b

y = 3x -13

Let x = 3

f(3) = -(3)^2

f(3) = -(9)

f(3) = -9

Answer:

area = 57√3 cm²

Step-by-step explanation:

lower polygon:

14-8 = 6, 6/2 = 3

3 is the base of the lower left triangle

cos 60° = 3/hypotenuse

hypotenuse = 6

height of triangle² = 6² - 3² = 45

height of triangle² = 36 - 9 = 27

height of triangle = √27 = √(9 x 3) = 3√3

area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²

upper parallelogram:

area = 8(3√3) = 24√3 cm²

total area = 24√3 + 33√3 = 57√3 cm²

Answer:

sin c - 25/7

cos c - 7/24

tan c - 25/24

Step-by-step explanation:

Answer:

2.2 results in a true equation, 2.2 is a solution to the equation.

Step-by-step explanation:

Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

Answer:

yes

Step-by-step explanation:

Answer:

your answer will be Option A

Step-by-step explanation:

hope it helps

Answer:

multiplicative inverse of -2/9 is -9/2.

Step-by-step explanation:

HOPE THIS HELPS :)

make sure to mark me brainliest for the 4 algebra calculators that WORK GREAT

Answer:

1 ,x=18,y=13.3

2,x=8,y=30

3,x=15

Answer:

80.

............................

Answer:

[tex]Area = 49\frac{25}{36}[/tex]

Step-by-step explanation:

Given

Tile

[tex]Length = 4\frac{5}{6}[/tex]

[tex]Width = 2\frac{1}{3}[/tex]

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

[tex]Length = 12\frac{1}{4}[/tex]

[tex]Width = 5[/tex]

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = 12\frac{1}{4} * 5[/tex]

[tex]Area = 61\frac{1}{4}[/tex]

The area of the tiles is:

[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]

[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]

[tex]Area = \frac{203}{18}[/tex]

[tex]Area = 11\frac{5}{18}[/tex]

So, the carpet area is:

[tex]Area = Floor\ Area - Tile\ Area[/tex]

[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]

To improper number

[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]

Take LCM

[tex]Area = \frac{2205 - 416}{36}[/tex]

[tex]Area = \frac{1789}{36}[/tex]

[tex]Area = 49\frac{25}{36}[/tex]

Answer: No, it's not. x should be 121

Step-by-step explanation:

Answer:

No it is 121

Step-by-step explanation:

22+37= 59

all angles add up to 180 degrees

180-59=121 degrees

Answer:

The probability is 0.1312

Step-by-step explanation:

Here, let us set up a binomial system

From the question, 54% ride a bike

Let p = people that rides a bike

54% = 54/100 = 0.54

p = 0.54

q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)

Now, for the binomial system, we have

P(X = 15) = 30 C 15 • p^15•q^15

We have;

30 C 15 * 0.54^15 * 0.46^15

= 0.131200268998

The probability is 0.1312