The graph shows a vertical translation of y =[tex]\sqrt[3]{x}[/tex]
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}

Answer:

B. 120.5 ft

Step-by-step explanation:

Given:

Length of Martins drive way = 121 ft

We need to find the minimum possible length of the driveway

Solution:

Now we know that ;

When a number is rounded to nearest whole number.

We can say that the number is in decimal format.

Also rounding techniques applies when the decimal number has digit 5 or more in ten's place after decimal then the number in increase by 1 as a whole number.

Here the number is rounded to nearest foot which is 121 ft.

So we an say that;

Number ranging from 120.50 to 120.99 can be made to 121 as nearest foot.

Hence the minimum possible length of the drive way could be 120.5 ft

Answer: distance = 5

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = 1

x1 = - 2

y2 = 0

y1 = - 4

Therefore,

Distance = √(1 - - 2)² + (0 - - 4)²

Distance = √3² + 4² = √9 + 16 = √25

Distance = 5

Answer:

x = 6 or x = -4

Step-by-step explanation:

x^2 - 2x - 24 = 0

(x - 6)(x + 4) = 0

x - 6 =0 or x + 4 = 0

x = 6 or x = -4

Answer:

Step-by-step explanation:

The square base measures 8 inches by 8 inches. The slant height is 10 inches.

The formula for determining the area of the square base of the pyramid is l^2. Therefore,

Area of the base = 8^2 = 64 inches^2

The formula for determining the perimeter of the square base is

4l. It becomes

4 × 8 = 32 inches

The amount of construction paper needed to make this pyramid is the total surface area of the pyramid. Therefore,

Total surface area = (1/2 × 32 × 10) + 64

= 160 + 64 = 224 inches^2

Nick will need approximately 224 square inches of construction paper for his square based pyramid project with a base measuring 8 inches by 8 inches and a slant height of 10 inches.

To find the amount of construction paper needed for Nick's square based pyramid project, we need to calculate the surface area of the pyramid. The surface area of a pyramid includes the area of the base plus the area of the four triangular sides.

The area of the base (Abase) is the side length squared:
Abase = side × side = 8 inches × 8 inches = 64 square inches.

The area of one triangular side (Atriangular side) is given by the formula:
Atriangular side = 1/2 × base × slant height.
For Nick's project, the base of a triangular side is equal to the side of the square, so:
Atriangular side = 1/2 × 8 inches × 10 inches = 40 square inches.

Since there are four identical triangular sides:
Total area of triangular sides = 4 × 40 square inches = 160 square inches.

Adding the base and triangular sides areas together gives us the total construction paper needed:
Total construction paper needed = Abase + Total area of triangular sides = 64 square inches + 160 square inches = 224 square inches.

Therefore, Nick will need approximately 224 square inches of construction paper for his project. To get the nearest whole number, we round 224 to 224.

Question is Incomplete; Complete question is given below;

Johnny must learn more than 10 new plays before the big game. He has already learned 4. Write and solve the inequality that represents how many more plays he needs to learn to reach his goal?

Answer:

The Inequality representing the more plays he needs to learn to reach his goal is [tex]x+4>10[/tex].

Johnny should learn more than 6 games to reach his goals.

Step-by-step explanation:

Given:

Number of plays to be learn [tex]>[/tex] 10

Number of plays already learned = 4

we need to write an inequality that represents how many more plays he needs to learn to reach his goal.

Solution:

Let the number of plays needed to learn more be 'x'.

So we can say that;

Number of plays already learned plus number of plays needed to learn more should be greater than total Number of plays to be learn.

framing in equation form we get;

[tex]x+4>10[/tex]

Hence the Inequality representing the more plays he needs to learn to reach his goal is [tex]x+4>10[/tex].

On solving the equality we get;

Subtracting both side by 4 we get;

[tex]x+4-4>10-4\\\\x>6[/tex]

Hence Johnny should learn more than 6 games to reach his goals.

Answer:

22 yards

Step-by-step explanation:

Use a (+) sign for yards gained and a (-) sign for yards lost.

Geno gained 4 yards 3 times: (+4) × 3.

Geno lost 1 yard twice: (-1) × 2.

Geno gained 6 yards twice: (+6) × 2.

Net change

in field position

=

(4 × 3) + (-1 × 2) + (6 × 2)

=

12 − 2 + 12

=

10 + 12

=

22.

Geno gained 22 yards.

The net change in the position of Geno if In the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice, is 22 yards.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

In the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice,

Calculate the net change in position as shown below,

The net change = Total  gained - Total  lost,

Total gained = 4 × 3 + 6 × 2

Total gained = 12 + 12

Total gained = 24

Total lost = 1 × 2

Total lost = 2

The net change = 24 - 2

The net change = 22

Thus, the net change in the Geno position is 22 yards.

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The complete question is:

Geno is a running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice. Find the net change in the position of Geno.

Answer: c. 72% is a statistic and 56% is a parameter.

Step-by-step explanation:

Given : A study of voting chose 663 registered voters at random shortly after an election.

Population of interest : "registered voters"

Sample : " 663 registered voters "

72%  of 663 registered voters said they had voted in the election.

⇒ Statistic = sample proportion registered voters voted in the election.= 72%

Election records show that only 56% of registered voters voted in the election.

⇒ Parameter = Population proportion of registered voters voted in the election =  56%

Hence, the correct answer is "c. 72% is a statistic and 56% is a parameter."

Final answer:

By setting up an equation using the average weight formula and solving for x, we find that x equals 5. Subsequently, the heavier carton weighs 13 pounds, and the lighter carton weighs 7 pounds, making the heavier carton weigh 6 pounds more than the lighter carton.

Explanation:

The question involves finding out how many more pounds the heavier carton weighs compared to the lighter carton when given their weights in terms of x and the average weight.

Firstly, we are given that the weights of the two cartons are 3x - 2 and 2x - 3 pounds, and their average weight is 10 pounds.

To find the value of x, we need to set up an equation using the average weight formula, which is:

(Weight of Carton 1 + Weight of Carton 2) / 2 = Average Weight

Substituting the given weights and average weight into the formula, we get:

((3x - 2) + (2x - 3)) / 2 = 10

Solving the equation by combining like terms and multiplying both sides by 2 to eliminate the fraction gives:

5x - 5 = 20

Adding 5 to both sides and then dividing by 5:

x = 5

Now, let's find the actual weight of each carton:

Weight of the first carton = 3x - 2 = 3(5) - 2 = 13 pounds

Weight of the second carton = 2x - 3 = 2(5) - 3 = 7 pounds

Lastly, we determine how many more pounds the heavier carton weighs compared to the lighter one:

13 pounds - 7 pounds = 6 pounds

Therefore, the heavier carton weighs 6 pounds more than the lighter carton.

Answer:  80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

[tex]\frac{-64}{80}[/tex] × 100

= -80% (Decreased 80%)

Answer:

80%

Step-by-step explanation:

I took a test with this question on it

Answer:

f(-1) = 10

Step-by-step explanation:

f(x)=x² - 3x + 6

when x = -1, substitute x=-1 into the equation above

f(-1) = (-1)² - 3(-1) + 6

= 1 + 3+6

= 10

Answer:it will take 1850 miles

Step-by-step explanation:

Let x represent the number of miles in a day at which the rental costs for a company A and Company B same.

Let y represent the total cost of renting the truck for x miles with company A.

Let z represent the total cost of renting the truck for x miles with company A.

Company A charges $420 a day Plus $.30 per mile. This means that

y = 420 + 0.3x

Company B charges $50 a day plus $.50 per mile to rent the same truck. This means that

z = 50 + 0.5x

To determine the number of miles in a day at which the rental costs for a company A and Company B same, we will equate y to z. It becomes

420 + 0.3x = 50 + 0.5x

0.5x - 0.3x = 420 - 50

0.2x = 370

x = 370/0.2 = 1850 miles

Answer:

Cost of steak-in-a-bun burger is $1.95 and cost of queen-size burger is $1.05.

Step-by-step explanation:

Let the cost of queen-size burger be 'q'.

Let the cost of steak-in-a-bun be 's'.

Given:

a steak-in-a-bun cost $0.90 more than a queen-size burger.

So we can say that;

[tex]s=0.9+q \ \ \ \ equation\ 1[/tex]

Given:

the coach took ten students to burger box.

Hence Number of person at burger box = 11

The coach and three students ordered steak-on-a-bun while the other students ordered queen-size burgers.

So we can say that;

Number of queen sized burger = 11 - 4 =7

Number of steak on a bun burger = 4

Also Given:

Total bill = $15.11

Now we can say that;

Total bill is equal to sum of Number of queen sized burger multiplied by Cost of queen sized burger and Number of steak on a bun burger multiplied by cost of steak on a bun burger.

framing in equation form we get;

[tex]4s+7q =15.15\ \ \ \ equation\ 2[/tex]

Substituting equation 1 in equation 2 we get;

[tex]4(0.9+q)+7q=15.15[/tex]

Applying distributive property we get;

[tex]3.6+4q+7q=15.15\\\\3.6+11q=15.15[/tex]

Subtracting both side by 3.6 we get;

[tex]3.6+11q-3.6 =15.15-3.6\\\\11q=11.55[/tex]

Dividing both side by 11 we get;

[tex]\frac{11q}{11}=\frac{11.55}{11}\\\\q=\$1.05[/tex]

Substituting the value of q in equation 1 we get;

[tex]s=0.9+q=0.9+1.05=\$1.95[/tex]

Hence Cost of steak-in-a-bun burger is $1.95 and cost of queen-size burger is $1.05.

Final answer:

The cost of one steak-on-a-bun is $2.055, and the cost of one queen-size burger is $1.155.

Explanation:

The student's question involves finding the cost of one steak-on-a-bun and one queen-size burger given that the total bill for a group order at a restaurant was $15.15 and that a steak-on-a-bun costs $0.90 more than a queen-size burger.

Let's define Q as the price of a queen-size burger.

Therefore, the price of a steak-on-a-bun would be Q + $0.90. According to the problem, four people (the coach and three students) ordered steak-on-a-bun, and six students ordered queen-size burgers.

The equation representing the total cost is:

4(Q + $0.90) + 6Q = $15.15

Solving for Q, we first expand the equation:

4Q + $3.60 + 6Q = $15.15

Combining like terms, we get 10Q + $3.60 = $15.15.

Subtracting $3.60 from both sides, we get 10Q = $11.55.

Dividing both sides by 10, we find that Q = $1.155, which is the cost of a queen-size burger.

Finally, the cost of a steak-on-a-bun is Q + $0.90 = $1.155 + $0.90 = $2.055.

The cost of one steak-on-a-bun is $2.055, and the cost of one queen-size burger is $1.155.

Answer:

Step-by-step explanation:

2.75×100=275.00

3=3.00×100=100.00

in either case decimal point moves to the right.

but in whole numbers 3=3

Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Step-by-step explanation:

Let x be the grades scored by Mary in the fourth algebra test.

Mary has grades of 95, 82, 88 on her first three algebra tests.

Then, the combined scores in four test will become = 95+82+88+x =  265+x

Average score = (Sum of all scores) ÷ (Number of tests)

[tex]=\dfrac{265+x}{4}[/tex]

As per given ,

To earn an A in an algebra course, a student must have a test average of at least 90.

i.e. Average score ≥ 90

[tex]\Rightarrow\ \dfrac{265+x}{4}\geq90\\\\\Rightarrow\ 265+x\geq 90\times4=360\\\\\Rightarrow\ x\geq360-265 =95\\\\\Rightarrow\ x\geq90[/tex]

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Answer: you have 118 text messages.

Step-by-step explanation:

Let x represent the number of text messages that you have or sent.

A cell phone company charges a monthly fee plus $.25 for each text message. The monthly fee is $30. This means that the total cost of x sending x messages in a month would be

0.25x + 30

If you owe $59.50, then your total cost is $59.50

Therefore,

59.50 = 0.25x + 30

0.25x = 59.50 - 30

0.25x = 29.5

x = 29.5/0.25

x = 118

Question is Incomplete;Complete question is given below;

Susan and Jim each own a lawn care business. The amount Susan charges for lawn care is shown in the table. The amount him charges for lawn care is shown in the table.

What is the DIFFERENCE between Susan's and Jim's lawn care business in the amounts they charge for 10 hours at work ?

Susan

2 hrs $48

3 hrs $72

7 hrs $ 168

11 hrs $264

Jim

1 hr $20

2 hrs $40

3 hrs $60

4 hrs $80

5 hrs $100

6 hrs $120

A) $16

B) $20

C) $28

D) $40

Answer:

D) $40

Step-by-step explanation:

We need to find the DIFFERENCE between Susan's and Jim's lawn care business in the amounts they charge for 10 hours at work.

Solution:

First we will find the hourly charges of lawn care for both.

Given:

From the table of Jim we can see that

Charges of Jim for 1 hour = $20

So for 10 hour = Charges of Jim for 10 hour.

By using Unitary method we get;

Charges of Jim for 10 hour = [tex]10\times 20 =\$200[/tex]

Now From table of Susan we can see that;

for 2 hours = $48

So for 1 hour = Charges of Susan for 1 hour.

By Using Unitary method we get;

Charges of Susan for 1 hour = [tex]\frac{48}{2}= \$24[/tex]

Now we know that;

Charges of Susan for 1 hour = $24

So for 10 hour = Charges of Susan for 10 hour

again by using Unitary method we get;

Charges of Susan for 10 hour = [tex]24\times10 =\$240[/tex]

Now we need to find the difference between their charges.

Difference can be calculated by subtracting Charges of Jim for 10 hour from Charges of Susan for 10 hour.

framing in equation form we get;

Difference = [tex]\$240-\$200=\$40[/tex]

Hence The difference in the charges for 10 hour of work is $40.

Answer:

Explanation:

The image attached shows the dimensions of the coffe cans considered for this question.

The figure is a cylinder with dimensions:

Thus, to find the lateral surface of a coffe can, you use the formula for the lateral area of a cylinder:

Where, LA is the lateral area, r is the radius, and h is the height.

Substituting the dimensions given in the figure, you get:

To multiply, first convert the mixed numbers into improper fractions:

[tex]3\frac{1}{16}=3+\frac{1}{16}=\frac{3(16)+1}{16}=\frac{48+1}{16}=\frac{49}{16}\\ \\ 6\frac{5}{8}=6+\frac{5}{8}=\frac{6(8)+5}{8}=\frac{48+5}{8}=\frac{53}{8}[/tex]

Now, you can multiply:

Answer:his total sales be $6500 in a week if he is to make a total of $675

Step-by-step explanation:

The total amount of money that Tito receives as weekly salary at an appliance store is $350.

He also receives a 5% commission on a total dollar amount of all sales he makes.

Let x represent his total sales in a week.

The amount of commission that he receives would be

5/100 × x = 0.05x

if he is to make a total of $675 in a week, it means that

0.05x + 350 = 675

0.05x = 675 - 350 = 325

x = 325/0.05 = $6500

By setting up an equation to represent Tito's total earnings and solving for total sales, we find that Tito must make $6500 worth of sales to earn a total of $675 in a week.

The subject of this question is Mathematics, specifically dealing with algebraic calculations to find the value of the variable. The variable in this case is the total sales Tito must make to earn a total of $675 in a week.

We know that Tito earns a fixed weekly salary of $350 and he also receives a 5% commission on his total sales. He wants to know how much he needs to sell to reach a total earning of $675.

To solve this, we set up an equation to represent the total earnings that Tito wishes to make: $350 (salary) + 0.05x (sales commissions) = $675.

Now we solve the equation for x (total sales). First, subtract $350 from both sides to get 0.05x = $675 - $350, which simplifies to 0.05x = $325.

Next, divide both sides of the equation by 0.05 to find x, so x = $325 / 0.05.

Therefore, Tito's total sales in a week must be $6500 for him to make a total of $675.

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Answer:

On that day 75 soft drinks and 45 popcorn were sold.

Step-by-step explanation:

Given:

Let the number of soft drinks be 'x'.

Let the number of popcorn be 'y'.

Number of cups sold = 120

Now we know that;

Number of cups sold is equal to sum of the number of soft drinks and the the number of popcorn.

framing in equation form we get;

 [tex]x+y=120 \ \ \ \ equation \ 1[/tex]

Also Given:

Cost of Soft drink = $2 .00

Cost of popcorn = $4.00

Total amount collected = $330.00

Now we know that;

Total amount collected is equal to sum of the number of soft drinks multiplied by Cost of Soft drink and the number of popcorn multiplied Cost of popcorn.

framing in equation form we get;

 [tex]2x+4y = 330 \ \ \ \ eqaution \ 2[/tex]

Hence The System of equation to determine the number of softdrinks and cups sold is  [tex]\left \{ {{x+y=120} \atop {2x+4y=330}} \right.[/tex].

Now to find the number of each type of cups sold we will solve the above equations.

First we will multiply equation 1 with 2 we get;

 [tex]2(x+y)=120\times2\\\\2x+2y =240 \ \ \ \ equation \ 3[/tex]

Now we will subtract equation 3 from equation 2 we get;

 [tex]2x+4y-(2x+2y)=330-240\\\\2x+4y-2x-2y=90\\\\2y = 90[/tex]

Now Dividing both side by 2 we get;

 [tex]\frac{2y}{2}= \frac{90}{2}\\\\y=45[/tex]

Now we will substitute the value of 'y' in equation 1 we get;

 [tex]x+y=120\\\\x+45 =120\\\\x=120-45 = 75[/tex]

Hence On that day 75 soft drinks and 45 popcorn were sold.

Answer:

Correct number : c = 16

Step-by-step explanation:

The triangle theorem states that each side of the triangle is smaller than the sum of the other two and larger than their difference. We denote the three sides of a triangle as a, b, and c.

Suppose that a = 8 and b = 10 and as we see b is greater than a , b > a

b - a < c < b + a  => 10 - 8 < c < 10 + 8  =>  2 < c < 18

from the offered answers we choose number 16

c = 16

God is with you!!!

Answer:

Step-by-step explanation:

if a,b,c are three sides of a triangle,then a<b+c,b<c+a,c<a+b

or in general we can say any side < sum of other two sides.

third side<8+10

or third side <18

Here third side=16

if you are asked smallest side then any side >difference of other two sides.

third side >10-8 or>2

Answer:

Step-by-step explanation:

Total number of questions in the test is 80.

To receive a grade of A on the 80 question test, 90% of the questions must be answered correctly. It means that the number if questions that must be answered correctly would be

90/100 × 80 = 0.9 × 80 = 72.

Therefore, the maximum number of questions that can't be missed to still receive an A is 72

Answer:

-2yx/15?

Step-by-step explanation:

Answer:

The correct order of fractions in descending order will be:

[tex]\frac{2}{5}, \frac{11}{30}, \frac{1}{3}[/tex]

Step-by-step explanation:

Given fraction:

[tex]\frac{1}{3}, \frac{2}{5}, \frac{11}{30}[/tex]

To arrange them in descending order.

Solution:

In order to arrange the fractions in descending order, we will have to find the least common denominators.

To find the least common denominator, we will find the least common multiple of the denominators 3,5, and 30.

Since 30 is a common multiple of all 3 numbers, so it will be the least common denominator.

So, we multiply the numerators and denominators with same numbers in order to make the denominators = 30.

So, we have:

[tex]\frac{1}{3}, \frac{2}{5}, \frac{11}{30}[/tex]

⇒ [tex]\frac{1\times 10}{3\times 10}, \frac{2\times 6}{5\times 6}, \frac{11\times 1}{30\times 1}[/tex]

⇒ [tex]\frac{10}{30}, \frac{12}{30}, \frac{11}{30}[/tex]

Now, we compare the numerators and arrange them accordingly.

[tex]\frac{12}{30} > \frac{11}{30} > \frac{10}{30}[/tex]

So, the correct order of fractions in descending order will be:

[tex]\frac{2}{5}, \frac{11}{30}, \frac{1}{3}[/tex]

After giving away 1 and 2/3 pounds of jelly beans, Alison has 4/3 pounds left.

To find out how many pounds of jelly beans Alison has left after giving away 1 and 2/3 pounds, we need to subtract that amount from the total.

1 1/4 pounds + 2 1/3 pounds - 1 2/3 pounds = 2/4 + 7/3 - 5/3 = 8/12 + 28/12 - 20/12 = 16/12 = 4/3 pounds

Therefore, Alison has 4/3 pounds of jelly beans left.

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To find the value of x for the corresponding sides of two similar triangles, we set up a proportion using the given sides.

Upon simplifying the ratio, x is calculated to be 24, which is the side length in the second triangle.

To find the value of x in two similar triangles with side lengths 12, 15, 18 and 16, 20, x, we use the concept that corresponding sides in similar triangles have proportional lengths.

We start by setting up a proportion using the corresponding sides:

[tex]\(\frac{12}{16} = \frac{15}{20} = \frac{18}{x}\)[/tex]

We can simplify the first two ratios to find a single scale factor:

[tex]\(\frac{12}{16} = \frac{15}{20} \rightarrow \frac{3}{4} = \frac{3}{4}\)[/tex]

This confirms the triangles are indeed similar since the ratios are equal. We then use the third ratio to solve for x:

[tex]\(\frac{18}{x} = \frac{3}{4} \rightarrow x = \frac{4}{3} \cdot 18 = 24\)[/tex]

Therefore, the value of x is 24, which is the length of the corresponding side in the second triangle.

Answer:

22.9 feet

Step-by-step explanation:

You are using Tangent because you have the opposite and adjacent sides

Tan 5 = 2/x

x Tan 5= 2

x= 2/Tan5

= 22.860

To find the horizontal run length of a wheelchair ramp with a 5-degree angle and a 2-foot rise, use the tangent function of trigonometry. Plug the given values into the tangent formula, rearrange to solve for 'Run', and calculate to get a run length of approximately 22.8 feet.

The question is referring to the use of trigonometry to solve real-life problems. Here, we are going to use the tangent of the angle, which is defined as the ratio of the opposite side (the rise) to the adjacent side (the run). In this case, we know that the angle is 5 degrees and the rise is 2 feet.

In mathematical terms, this can be written as:

Tan(ρ) = Rise/Run

Substituting the values into the equation, we get:

Tan(5°) = 2/Run

Solving for Run, we get:

Run = 2/Tan(5°)

You can find this value using a calculator, rounding to the nearest tenth, to get the run as approximately 22.8 feet.

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The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function.

The subject of this question is Mathematics. The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function:

p(x) = x + 5 = d(x) + 5 = (500 - 2x) + 5 = 505 - 2x

So the price can be represented by the equation p(x) = 505 - 2x.

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Answer: the top of the ladder is 20ft below the ground.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance between the base of the house and the base of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine the height at which the ladder rest on the building, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

25² = x² + 15²

625 = x² + 225

x² = 625 - 225 = 400

x = √400 = 20 ft

Answer:

He has 2 quarters in his pocket.

Answer:

5 times the square root of 3

Step-by-step explanation:

To get the longest side of a 30-60-90 triangle, you take the shortest side and multiply it by the square root of 3.

5*(square root of 3)