Find the area of a regular hexagonwith a side length of 4 cm and anapothem of approximately 3.5 cm.Area = [?] cm2

Answer:

\(2.66 \times {10}^{ - 26} = 0.266  \times {10}^{ - 25} \)

\(1.99 \times {10}^{ - 26} = 0.199 \times {10}^{ - 25} \)

\(1.67 \times {10}^{ - 27} = 0.167 \times {10}^{ - 26} \)

\(2.33 \times {10}^{ - 26} = 0.233 \times {10}^{ - 25} \)

\(6.65 \times {10}^{ - 26} = 0.665 \times {10}^{ - 25} \)

\(5.14 \times {10}^{ - 26} = 0.514 \times {10}^{ - 25} \)

Step-by-step explanation:

good luck

hello

the answer to the question is:

y = a cot(bx – c) + d

a = 1, b = 1/2, c = 0

the midline is y = d, so y = 0

the vertical stretch is 1, so label the y-axis so the inflection point of the curve is 1 above the midline, and the other inflection point is 1 below the midline

the period is:

T = π/b ----> T = 2π

the phase shift is:

PS = c/b ----> PS = 0

and also, there's no amplitude for tangent and cotangent, there is only the vertical stretch that takes the place of an amplitude

Answer:

amplitude does not exist. period = 2π (360°)

Step-by-step explanation:

there is no amplitude for tan θ or cot θ, since there is no limit up or down (positive/negative infinity).

period for cot θ is π (180°)

period for cot 1/2 θ is 2π (360°)

The length of the other two sides are 4m and 5m

Using the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle

This is represented as;

x² = y² + z²

From the information given, we have that;

z = 3m

x = x + 1

y = x

Substitute the values, we get

(x + 1)² = x² + 3²

Find the squares

(x + 1) ² = 9 + x²

expand the bracket

(x + 1) ( x + 1) - x² = 9

x² + x + x + 1 - x² = 9

collect like terms

2x = 8

x = 4

Then,

x + 1 = 5

x = 4

Hence, the values are 4m and 5m

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Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

what are you looking for?

Step-by-step explanation:

are you trying to find the equation?

x ≤ -2    OR  x ≥ 4

__________________________________________________________

We are given the inequality:

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| =  -(2x-2)    OR   2x-2

(since the modulus of both these values is 2x-2)

Hence, our inequality can be written in 2 different ways:

__________________________________________________________

Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6                

2x ≥ 8                     [adding 2 on both sides]

x ≥ 4                       [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6                

2 ≥ 6 + 2x                [adding 2x on both the sides]  

-4 ≥ 2x                     [Subtracting 6 from both sides]

x ≤ -2                       [Dividing both sides by 2]

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

Solution of the given Inequality:

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4   (if 2x-2 ≥ 0)

x ≤ -2  (if 2x-2 < 0)

Hence, option C is correct!

Answer:

Number of child tickets sold = 31

Step-by-step explanation:

Let,

x be the number of child tickets sold

y be the number of adult tickets sold

According to given statement;

y = 4x      Eqn 1

5.80x + 9.20y = 1320.60     Eqn 2

Putting y=4x in Eqn 2

5.80x + 9.20(4x) = 1320.60

5.80x + 36.80x = 1320.60

42.60x = 1320.60

Dividing both sides by 42.60

\(\frac{42.60x}{42.60}=\frac{1320.60}{42.60}\\x = 31\)

Hence,

Number of child tickets sold = 31

Answer:

30%

Step-by-step explanation:

you just add 10% and 20%

Hope it helps c:

Zelina scored 32% higher on the third quiz than on her first quiz.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

Given that:-

From the given data we will see that:-

1 ) Zelina scored 10% higher on her second quiz than on her first quiz.

SQ = 1.10 FQ

2 ) On her third quiz, Zelina scored 20% higher than on her second quiz

TQ = 1.20SQ

From the above to expression solve for the first quiz:-

TQ = 1.20 x  1.10 FQ

TQ = 1.32FQ

Therefore Zelina scored 32% higher on the third quiz than on her first quiz.

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Answer:

D, 14 units

Step-by-step explanation:

Both coordinates have -5, so we know that 8 and -6 are at the same line.

We find the absolute value...

So 8=8 and -6=6. Lastly, we add them from 0 and 8+6= 14.

ANSWER IS 14 UNITS!!

The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Answer:

3,8

Step-by-step explanation:

you can use the app photo math. just take a picture and you will get your answer

Answer:

\(x=3\)

\(y=8\)

Step-by-step explanation:

The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.

\(\left \{ {{x+y=11} \atop {x-y=-5}} \right.\)

As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.

\(\left \{ {{x+y=11} \atop {x-y=-5}} \right.\)

\((x)+(y)+(x)+(-y)=(11)+(-5)\)

Simplify,

\(2x=6\)

Inverse operations,

\(x=3\)

Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),

\(x+y=11\\\)

Substitute,

\((3)+y=11\)

Inverse operations,

\(y=8\)

The value of the polynomial function is f(x)=2(x-2)(x²+25).

Provided function value

• f(1)=-52; n=3; 2 and 5i are zeros.

The real coefficients of f(x) A root is both 5i and -5i.

Thus, roots 2, 5i, and -5i exist.

There can only be three different roots because f(x) has degree 3.

f(x) = a(x-2) (x-2)

(x-5i)(x+5i)

f(x) = a(x-2)(x² +25)

f(1) = -52, so

-52 = a(1-2)(1²+25)

-52 = a(-1)(26) (26)

-52/-26 = a

2 = a

f(x)=2(x-2)(x²+25)

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The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

Answer:

The answer is 6 and 12

Step-by-step explanation:

1x3= 3

6×3= 18

2×3=6

4×3=12

Answer:

d) 1/12

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer:

≈ 11695 yd^2

The answer d

Step-by-step explanation:

Given:

r = 61 yd

\(\pi = \frac{22}{7} \)

Find: a - ?

\(a = \pi \times {r}^{2} = \frac{22}{7} \times {61}^{2} ≈ 11695\)

Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

Answer:

2.5 km

Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

10 km/ hour * 1/4 hour = 10/4  km  = 2.5 km

Answer:

In total she ran 2.5km/h in 15 minuets.

Step-by-step explanation:

Since 15 minuets is a quarter of an hour you can divide the 10km/h by 4 to get 2.5km/h.

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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Answer:

hello again, the answer is A, F, D, B, G, E, and C in that order

Step-by-step explanation:

Using the combination and the arrangements formula, it is found that the number of possible playlists is given by:

\(7.98 \times 10^8\)

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, we have that:

Hence, without considering the order, the number of playlists is given by:

\(C_{7,7}C_{12,3} = \frac{7!}{7!0!} \times \frac{12!}{3!9!} = 220\)

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In this problem, the 10 musics are arranged, hence the number of playlists, considering the order, is given by:

\(n = 10! \times 220 = 798336000 = 7.98 \times 10^8\)

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Answer:

-43 < -35

Step-by-step explanation:

-43 is less than -35 because it is on the left.

Answer:

An inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal is:

10x> 150

Step-by-step explanation:

hope this helps <3

\(z_1z_2=(3+2i)(4+3i)=3\cdot4+2i\cdot4+3\cdot3i+2i\cdot3i\)

\(z_1z_2=12+8i+9i+6i^2\)

\(i^2=-1\), so

\(z_1z_2=12+8i+9i-6=\boxed{6+17i}\)

Answer:

opposite

Step-by-step explanation:

Answer:

The answer is 260 * 2 = 520

Step-by-step explanation:

520/2 = 260

Multiply both sides by 2

We have

260 × 2 = 560

Hope this helps

The option a is giving the same value according the table. So the option a is correct answer.

In the given question, the table represents some points on the graph of linear function f.

We have to find which function represents f.

(a) f(x)= 32(3x-1)

(b) f(x)= -32(x-3)

(c) f(x)= -2(32x-3)

(d) f(x)= 16(2x-1)

We find the pattern we firstly observe the given table closely.

So from the given table;

f(-2) = -224, f(1) = 64, f(5) = 448, f(10) = 928

To check which option is giving the value of f(x) right according to table, we put the value in each option.

Firstly taking the option a.

f(x)= 32(3x-1)

Now checking the option 1.

Putting x=-2, if the value of f(-2) = -224, then the option is correct.

f(-2)= 32(3(-2)-1)

f(-2)= 32(-6-1)

f(-2)= 32*(-7)

f(-2)= -224 (True)

Now putting x=1 in the same option to cross check, if the value of f(1) = 64, then the option is correct.

f(1)= 32(3(1)-1)

f(1)= 32(3-1)

f(1)= 32(2)

f(1)= 64

Now the option a is giving the same value according the table. So the option a is correct answer.

We find the right answer so we don't check the further option. To check next option you can use the same way.

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