Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool

Answers

Answer 1

The number of units that tile will he need to surround his pool is 19.82units.

this question is of quadratic equation ,

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have,

AB = 4.24 units

BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units.

The number of units that tile will he need to surround his pool is 19.82units.

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Related Questions

What is the value of b?
33°
7b-5°
10b-22°

Answers

Answer:

35 i think hope it helps you

thank you

How can 7/8 and 5/6 as a pair of fractions with the smallest common denominator?

Answers

Answer:

7/8 as 21/24 and 5/6 as 20/24

Step-by-step explanation:

8: 8, 16, 24, 32, 40

6: 6, 12, 18, 24, 30

7/8 x 3/3 = 21/24

5/6 x 4/4 = 20/24

hello please help i’ll give brainliest

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Answer:

fault lines.

Step-by-step explanation:

Is the following relation a function?

Answers

Answer:

yes

Step-by-step explanation:

Calculate the bearing of A from B.
N
B
73°
N
A

Answers

The direction of A with respect to B. N B 73° N A is 287

Explain about the direction?

A direction is the way that something is moving, directing, or moving toward something or someone. The directions could be Up, Down, Left, and Right, or North, South, East, and West.

The ability to specify where one thing is in relation to another is known as position in mathematics. Defining direction entails explaining the direction in which something moves, such as forward, backward, or in a full or half turn.

It is possible to define direction using relative terms like up, down, in, out, left, right, forward, backward, or sideways. A direction can also be denoted by one of the four cardinal directions: north, south, east, or west.

Angles at a point add up to 360 degrees.

⇒ Bearing from A to B is = 360° - 73° = 287°.

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Use the dropdown boxes below to complete the statement about the following quadratic function: g (x) = -5x^2 + 10x The function has a [ Select ] value of [ Select ] that occurs at x equals [ Select ] .

Answers

Answer:

i dont see boxes and yea

Step-by-step explanation:

Nevaeh earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She is about to take Exam B that has a mean of 36 and a standard deviation of 10. How well must Nevaeh score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Nevaeh's score in Exam A of 850, where the mean and standard deviation are 550, and 100, indicates, using the z-score, that in Exam B with a mean and standard deviation of 36 and 10, respectively, her score should be 66.

What is a z-score?

A z-score is an indication of the number of standard deviations, a data point is from the mean.

The score Nevaeh earned in Exam A, x₁ = 850

The mean score for Exam A, μ₁ = 550

The standard deviation for Exam A, σ₁ = 100

The mean score for Exam B, μ₂ = 36

The standard deviation for Exam B, σ₂ = 10

A quantity that can be used to evaluate Nevaeh's score for Exam A is the z-score, which can be expressed as follows;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Nevaeh's z-score for Exam A is therefore;

[tex]z = \dfrac{850 - 550}{100} =3[/tex]

Nevaeh's performance on Exam B in order for her to do equivalently well as she did on Exam A is obtained by using a z-score of 3 for her performance in Exam B as follows;

[tex]z = 3 = \dfrac{x_2 - 36}{10}[/tex]

3 × 10 = x₂ - 36

30 = x₂ - 36

x₂ = 30 + 36 = 66

Nevaeh's score on Exam B should be 66 in order for her to perform equivalently well as she did in Exam A

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Estimate the difference by rounding each number to the nearest whole number and then subtracting.

10.04 − 6.3

Answers

Answer:

Estimate of difference is 4.

Step-by-step explanation:

10.04 = 10 to nearest whole number

6.3 = 6 to nearest whole number.

10 - 6 = 4.

On a bookshelf, there are 8 fiction and 7 nonfiction books. Paul randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were fiction books?

Answers

Answer:

28%

Step-by-step explanation:

!!!!!!NEEED HELP ASAP DUE SOON!!!!!!!!

Answers

the correct answer is y=-3/4x+36

If m^2 = 3 then what is the value of 5m^6

a. 15
b. 30
c. 45
d. 135

Answers

Answer:

135

Step-by-step explanation:

m^2 = 3

Cube m^2

(m^2)^3 = 3^3

m^(2*3) = 27

m^6 = 27

Now multiply by 5

5 * m^6 = 5*27

5 m^6 =135

At the movie theatre, child admission is $5.10 and adult admission is $8.90. On Sunday, 156 tickets were sold for a total sales of $1145.20. How many child tickets were sold that day?

Answers

let y = number of child tickets so the total 0f 34 child tickets is sold at that day.

Define substitution.

To calculate an expression's value by substitution, integers are substituted for letters in the expression.

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

let x = number of adult tickets

let y = number of child tickets

x = 4y  (four times as many adult tickets as child tickets

8.4x + 5.1y = 1315.8

but we can substitute 4y for x

8.4(4y) + 5.1y = 1315.8

33.6y + 5.1y = 1315.8

38.7y = 1315.8

y = 34 and x = 4Y

x = 136

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Dante built a wooden, cubic toy box for his son. Each side of the box measures feet.How many cubic feet of toys will the box hold?

Answers

Answer:

Cubic feet of toys box hold = 30 cubic feet

Step-by-step explanation:

Missing information;

Length of toy box = 5 feet

Width of toy box = 3 feet

Height of toy box = 2 feet

Find:

Cubic feet of toys box hold

Computation:

Cubic feet of toys box hold = Volume of rectangular box

Volume of cuboid = [l][b][h]

Cubic feet of toys box hold = [5][3][2]

Cubic feet of toys box hold = 30 cubic feet

multiple choice for final pls help me

Answers

Answer:

I hope this helps!

Step-by-step explanation:

ACB

The pitchers for the home team had 12 strikeouts for 32 batters, while the pitchers for the visiting team had 15 strikeouts for 35 batters. Which pitching team had a greater fraction of strikeouts.(Hint: Just make the 12 for 32 and 15 for 35 into fractions and see which is greater or less than.)

Answers

Answer:

2958843/5 5/1000775747373838388484737372737375823

A 12 pack of soda cost $4.80. What is the unit cost?

Answers

Answer:The cost of each can is $ 0.31

.

Step-by-step explanation: You need to take the amount of money each pack costs and divide it by the number of cans to find the unit rate. Hope this helps!!

brianlist please ?

To find the unit cost, simply divide the amount of money by the amount.

4.80÷12= 0.4 dollars

So each soda is only 0.4 dollars.

How can you check this?

0.4 dollars times 12 should equal the total cost of soda.

0.4x12=4.80, so it's correct.

find the area of the deck around this pool
15 m
25 m
50 m
90 m

Answers

Answer:

A = 1800m^2

Step-by-step explanation:

(90)(25) - (30)(15)

2250 - 450 = 1800

the difference of a number x and 7.

Answers

Answer: difference means subtract

x-7

HOPE THIS HELPS

How do you solve 5t 35?

Answers

The answer to this question will  t = 8. The first step to solving this equation is to combine the like terms by adding the two numbers together.

In this case, 5t + 35 = 40t. The next step is to divide both sides of the equation by the coefficient of the variable, which in this case is 5. When you do this, you get 40t/5 = t. Therefore, the answer to 5t + 35 is t = 8.

A coefficient is an integer that is either multiplied by the variable it is associated with or written alongside the variable. A coefficient is, in other words, the numerical factor of a term that contains both constants and variables. For instance, the coefficient in the expression 2x is 2.

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How do you know if its linear or linear?

Answers

Linear equations are equations that can be written in the form ax + b = c, where a, b, and c are real numbers and a ≠ 0.

The equation can be solved for the variable x by subtracting b from both sides and then dividing both sides by a. This will give the solution for x, which is x = (c - b) / a.

For example, consider the equation 2x + 4 = 10. This is a linear equation since it can be written in the form ax + b = c, where a = 2, b = 4, and c = 10. To solve for x, subtract b from both sides to get 2x = 6, and then divide both sides by a to get x = 3. Therefore, the solution to the equation is x = 3.

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a male animal can weigh up to 8,000 pounds. How many tons is 8,000 pounds

Answers

Answer:

4

Step-by-step explanation:

PLZS HELP If Mary bought 12 of the Brand X batteries, how many of them lasted less than 15 hours? (Please show how you calculated this to get your answer

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP !!

What is the missing reason for line 6 in this proof?

Answers

Answer:  Choice D

CPCTC

This acronym stands for "corresponding parts of congruent triangles are congruent". The triangles being congruent leads to their corresponding pieces being the same length. It's like saying if two houses are identical, then the front doors must be identical as well. Notice how this builds off the fact the triangles are proven congruent in line 5.

Find the equation of the normal to the circle, whose equation is given below, at the point (1,2).( x − 3 ) 2 + ( y + 2 ) 2 = 20

Answers

Answer:

The equation of the normal is y = 4 - 2·x

Step-by-step explanation:

The given equation of the circle, is presented as follows;

(x - 3)² + (y + 2)² = 20

The point of the normal of the circle = (1, 2)

The equation of the normal to a circle, x² + y² + D·x + E·y + F = 0 at a point P(x₁, y₁) is given as follows;

[tex]\dfrac{y - y_1}{x - x_1} = \dfrac{2 \cdot y_1 + D}{2 \cdot x_1 + E}[/tex]

Expanding the given equation of the circle, gives;

(x - 3)² + (y + 2)² = x² + y² - 6·x + 4·y + 13 = 20

∴ x² + y² - 6·x + 4·y + 13 - 20 = x² + y² - 6·x + 4·y - 7 = 0

x² + y² - 6·x + 4·y - 7 = 0

∴ x₁ = 1, y₁ = 2, D = -6, E = 4, and F = 13

Which gives;

[tex]\dfrac{y - 2}{x - 1} = \dfrac{2 \times 2 + 4}{2 \times 1 + (-6)} = \dfrac{8}{-4} = -2[/tex]

∴ y - 2 = -2 × (x - 1) = 2 - 2·x

y = 2 - 2·x + 2 = 4 - 2·x

The equation of the normal to the circle with equation (x - 3)² + (y + 2)² = 20, at the point (1, 2) is y = 4 - 2·x

4x + 2y = 8 and 16x – y = 14 what does x and y equal?

Answers

Answer:

here is ur answer

Step-by-step explanation:

4x +2y = 4

4x = 4 -2y

x = 4/4 -2y

x= -2 y

I need a verbal description for the equation using the graph texts. Thank you!

Answers

Answer:

The y intercept is at (0,12) and the line has a positive slope of rising up 1.5 squares and moving horizontly 1 square

Step-by-step explanation:

Linear equation and linear system

Answers

Answer:

Step-by-step explanation:

you have studied this in grade 8 grade 9 and grade 10 if you are studying under CBSE, so, better call textbook

Can someone tell me how to do this?
solve 4x + 3 = 11
x = ?​

Answers

Answer:

x = 2

Step-by-step explanation:

4x + 3 = 11

(4x + 3) - 3 = 11 - 3

4x = 8

4x/4 = 8/4

x = 2

As you can see, to isolate x, we must do the opposite operations to both sides.

What is the measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

​m∠P=​ °

Answers

The measurement of angle P in the diagram given in the question is 61.93 °

Trigonometric ratios

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:

How to determine the value of angle P

From the question given above, the following data were obtained:

Hypothenus = 17 cmOpposite = 15 cmAdjacent = 8 cmAngle P =?

Sine θ = Opposite / Hypothenus

Sine P = 15 / 17

Sine P = 0.8824

Take the inverse of sine

P = Sine⁻¹ 0.8824

P = 61.93 °

Thus, the value of angle P in the diagram is 61.93 °

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WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT

Answers

The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³

The surface area of the cube is 24 cm ²

The total length of the edges of the cube is  24 cm

How to find the volume of a cube ?

The volume of a cube can be found by the formula :

= Side x Side x Side

This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.

The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :

= 2 x 1

= 2 cm

The volume is therefore :

= 2 x 2 x 2

= 8 cm ³

How to find the area of a cube ?

The surface area of a cube is:

= 6 x side ²

= 6 x 2 ²

= 24 cm ²

How to find the length of a cube ?

The total length of the edges would be:

= 12 edges on a cube x length of each edge

= 12 x 2

= 24 cm

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