A playground is in the shape of a square. If the perimeter of the playground is 40 feet, find the diagonal distance across the park. Leave your answer in radical form

Answers

Answer 1

The length of diagonal of park is √200 feet.

Step-by-step explanation:

Given,

Perimeter of square playground = 40 feet

Let,

a be the length of one side.

Perimeter = 4a

[tex]4a=40\\\\a=\frac{40}{4}\\\\a=10[/tex]

Length of one side of square is 10 feet.

A diagonal will form a right triangle, where,

Diagonal = c

a = 10

b = 10

Using pythagoras theorem

[tex]a^2+b^2=c^2\\(10)^2+(10)^2=c^2\\100+100=c^2\\200=c^2\\c^2=200[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{200}\\c=\sqrt{200}[/tex] feet

The length of diagonal of park is √200 feet.

Keywords: perimeter, square

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Answer 2

Answer:

10√2 (Simplest Radical Form)

Step-by-step explanation:

While Absor201 got √200, it is still not in simplest radical form. If you got this question from MathNation, then 10√2


Related Questions

An antique vase sells for $80. If the price increases by 18%,and then decreases by 20%,what is the new price

Answers

Answer:

It would be 78.40 if it increase and decreases from its original price

Answer: the answer should be

72

Step-by-step explanation:

1. 80 x 0.18 or 18%=14.4

2. 14.4 divided by 0.20 or 20%=72

Which expression is equivalent to 8/15?
A. 8÷1/5
B. 8÷15
C. 15÷1/8
D. 15÷8



Answers

Answer: B is the answer

Step-by-step explanation:

8 over 15 means 8 divided by 15, so B is the correct answer.

10 minus three times a number is no more than 61​

Answers

Answer:

n ≥ -17

Step-by-step explanation:

Writing a symbolic inequality, we get:

10 - 3n ≤ 61

Solve this for 3n by adding 3n to both sides of this equation:

10 ≤ 61 + 3n

Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:

-51 ≤ 3n (divide both sides by 3):

-17 ≤ n, or

n ≥ -17

Help please? I am stuck

Answers

Answer:

16 oatmeal cookies.

Step-by-step explanation:

How do you answer 64 divided by 2.56

Answers

Simple ansewer 25. .

Answer:

25

Step-by-step explanation: by dividing

BRAINLIEST AND 50 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which statement is correct about the product of 4/5 ​​and ​ 11/9 ​?

A. Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5 ​.

B. Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5 ​.

C. Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5 ​.

D. Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5 ​.

Answers

Answer:

The answer is A. Because 11/9 is greater than 1, the product of 4/5 and ​11/9 ​is greater than ​4/5

9/9 is exactly 1. 11/9 is greater than 9/9, so 11/9 is greater than 1. If I added 4/5, the answer is larger than 11/9, therefore the answer is A.

Answer:

A. Because 11/9 is greater than 1, the product of 4/5 and 11/9 is greater than 4/5

Step-by-step explanation:

Hope this helps!

A rectangle is 2 times as long as it is wide. If the area is 50 square feet, find its perimeter

Answers

Answer:

P=30

Step-by-step explanation:

width = x

length = 2x

2x^2=50

/2       /2

x^2=50

[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{25}[/tex]

x=5

width=5

length=10

2width + 2length = Perimeter

10+20=P

30=P

Final answer:

The width of the rectangle is determined to be 5 feet using the area formula, leading to a length of 10 feet. The perimeter is then calculated using the sum of twice the length and twice the width, resulting in a perimeter of 30 feet.

Explanation:

To solve for the perimeter of a rectangle where the area is 50 square feet and the length is twice the width, we first use the given information to set up an equation. Let the width be w feet. Therefore, the length will be 2w feet. The area A of a rectangle is given by the formula A = length times width, so in this case, A = 2w times w = 50.

Solving for w, we have w² = 25, which gives us w = 5 feet. The length, therefore, is 2 times 5 = 10 feet. The perimeter P of a rectangle is given by P = 2 times (length + width), so the perimeter of this rectangle is P = 2 times (10 + 5) = 30 feet.

Which of the following is equal to the rational expression when X not equal -4 or 3?
x2 - 4x + 3
X^2+ X - 12

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x^2-4x+3}{x^2+x-12}[/tex]

Factorise the numerator and denominator

x² - 4x + 3 = (x - 1)(x - 3)

x² + x - 12 = (x + 4)(x - 3), thus

= [tex]\frac{(x-1)(x-3)}{(x+4)(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator

= [tex]\frac{x-1}{x+4}[/tex] → A

Rational expression are written as fractions. The simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

Rational expressions

Rational expression are written as fractions.

Given the rational expression

[tex]\dfrac{x^2-4x+3}{x^2+x-12}[/tex]

Factorize the numerator and denominator

[tex]=\dfrac{x^2-4x+3}{x^2+x-12}\\=\dfrac{x^2-3x-x+3}{x^2+4x-3x-12}\\=\frac{(x-3)(x-1)}{(x+4(x-3)} \\=\frac{x-1}{x+4}[/tex]

Hence the simplified form of the expression is [tex]\frac{x-1}{x+4}[/tex]

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What is the next step in the construction of a regular hexagon?​

Answers

Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

Predictions : https://brainly.com/question/13382035

The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

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while swimming in the pool, you attempt to swim the whole length of the pool without getting a breath. you are able to do it 3 out 5 times you attempt. if you attempted to do it 10 times, how many did you make it?​

Answers

Answer:

30 out of 50 times.

Step-by-step explanation:

1 attempt represents 3 out of 5 times.

10 attempts equals 1 attempt x 10.

Multiply numbers 3 and 5 by 10.

3 x 10 = 30

5 x 10 = 50.

Therefore, your solution is 30 / 50 times.

Using the probability of the initial success rate (60%), if you attempt to swim across the pool without taking a breath 10 times, you are expected to succeed 6 out of 10 times.

The question you're asking involves a simple concept in mathematics known as probability. The event of you being able to swim across the pool without taking a breath has so far occurred with a probability of 3 successes out of 5 attempts, or a 60% success rate. This is essentially an application of a ratio - you have succeeded 3 times for every 5 attempts you made. We can apply this ratio to predict outcomes over a larger number of trials.

If you were to attempt to swim across the pool without taking a breath 10 times and maintain the same success rate of 60%, you would be expected to make it 6 times out of 10 (since 60% of 10 is 6). Here's the breakdown:

Calculate the success rate from the initial trials: 3/5 = 60%

Apply that success rate to a larger number of trials: 60% of 10 = 6

Note that real-life scenarios might deviate slightly due to variability, but based on the given probability, we predict 6 successful swims across the pool in 10 attempts.1

26.35 rounded to the nearest hundred

Answers

Answer:

Nearest hundred: 0

Nearest hundredth: 26.35

Step-by-step explanation:

The hundred place value is three numbers to the left of the dot.

The two hundreds that are nearest to 26.35 are 0 and 100. To decide if you should round up (to 100) or round down (to 0), use the place value that is to the right of the hundred place: the number you are using is 2.

The rule for rounding:

Round up if the place value is 5 or more

Round down if the place value is 4 or less

Since 2 is "4 or less", round down to 0.

Since 26.35 is closer to 0 than 100:

26.35 => 0 when rounded to the nearest hundred

In case you meant hundredth:

The nearest hundredth means two decimal places, or two numbers right of the dot.

The number 26.35 already has two decimal places, so rounded to the nearest hundredth is still 26.35.

26.35 => 26.35

if (x+8) is a factor of f(x), which of the following must be true?
A. both x= -8 are roots of f(x)
B. neither X = -8 nor x equal 8 is a root of f(x)
C. f(-8)=0
D.f(8)=0​

Answers

Answer:

C

Step-by-step explanation:

Given that (x + 8) is a factor of f(x), then x = - 8 is a root and thus

f(- 8) = 0

If (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

What is factor?

" Factor is defined as an algebraic expression or a number when divided by another algebraic expression or a number without leaving remainder."

According to the question,

Given function = f(x)

Factor of f(x) = (x+ 8)

For example  [tex]f(x) = x^{2} + 12x+32[/tex]

                              [tex]= x^{2}+8x+4x+32 \\\\= (x+8) (x+4)[/tex]

(x+ 8) is a factor of f(x).

[tex]f(-8) = (-8)^{2} -64[/tex]

         [tex]= 64-64\\\\=0[/tex]

Hence, if (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

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The endpoints of cd are C (-4,10) and D (-4,10) the coordinates of the midpoint M of CD are

Answers

The endpoints C and D has no midpoint M.

Step-by-step explanation:

step 1: The given endpoints of C and D are (-4,10) and (-4,10)

step 2: Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)

step 3: Here, C(-4,10) = (x1,y1)

                      D(-4,10) = (x2,y2)

step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.

prove equal chord of a circle substend equal angle at centre​

Answers

Answer:

The Proof for  "Equal chord of a circle subtends equal angle at the Center".

Step-by-step explanation:

Consider a Circle with center as C,

Radius AC ,BC ,DC and EC

Chord AB = Chord CD

To Prove:

"Equal chord of a circle subtends equal angle at center".

i.e ∠ACB = ∠ECD Which are Center angle

Proof:

In  Δ ABC and Δ DEC

Chord AB ≅ Chord DE     .….{Given}

AC ≅ DC                           …..{Radius of Same Circle}

BC ≅ EC                           ….{Radius of Same Circle}

Δ ABC ≅ Δ DEC               ….{By Side-Side-Side Congruence Postulate}

∴∠ACB ≅ ∠ECD  ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved

i.e Equal chord of a circle subtends equal angle at the Center.

Supposed that a defined population is all men and a survey is being conducted. which of these is an example of selection bias?

Answers

Answer:no it's not because bias Is your opinion ( like if you say dogs are the best that's your opinion only

Step-by-step explanation:

Answer:

Excluding women with children from the selection process of the survey

Step-by-step explanation:

The correct answer is: Excluding women with children from the selection process of the survey.

Nicole Nichols purchased a new carpet for $287 and a vacuum cleaner for $121. What is the sales tax if she
lives in Iowa where the sales tax rate is 5 percent?
a. $31.99
c. $20.40
b. $19.98
d. $24.48

Answers

D. 24.48...................

Answer:

$20.40 is the sales tax if she lives in Ohio where the sales tax rate is 5 percent.

Step-by-step explanation:

Solve the proportion below.
54\x=9\7
x=
a. 36
b. 52
c. 63
d. 42​

Answers

Answer:

Hi it’s c63

Step-by-step explanation:

Beacause 60+3=63

Answer:

x=42

Step-by-step explanation:

What is 36 divided by 25 in a simplified fraction

Answers

Answer:

It's already in it's most simplified form.

Step-by-step explanation:

Answer:

1 [tex]\frac{11}{25}[/tex]

Step-by-step explanation:

You want to write out the fraction from the division problem.

To do this you want to know that the number that is being DIVIDED BY (or 36 in this problem) is the numerator (the number on top in the fraction) and the number DIVIDING the number that is being divided by is the denominator (or 25 in this problem).

You can then write this as the fraction [tex]\frac{36}{25}[/tex] . Next you want to change this into a mixed number to simplify the fraction. To simplify you want to do 36-25 because 36 exceeds 25. 36-25=11. Because you have 11 remaining you would keep it with the 25th fraction. The completed fraction should look like this 1 [tex]\frac{11}{25}[/tex] .

A line is perpendicular to y= 1/2x-9 and intercepts the point (3,2) what is the perpendicular line

Answers

Answer:

Y= -2x +8

Step-by-step explanation:

We know the line is perpendicular so the slope is negative inverse of 1/2, which is -2.

Now to find b, plug into equation

Y= -2x+ b

2= -2(3) +b

2= -6+ b

2+6= b

8=b

Answer:

-2x+8

Step-by-step explanation:

What set of transformations is performed on LMNO to form L’ M’ N’ O’ ?

Answers

Answer:

its the third one

Answer:

A) A 90 degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

The formula to do a 90 degree counterclockwise rotation is (x, y) to (y, -x) so if the ordered pair is (5, 3) and you were to rotate it counterclockwise it would be (3, -5). Once you do this to all of the values, you are one unit to the right of what you should be, so then you would have to translate it 1 to the left in order to match up both of the trapezoids.

how do you represent x<-9/4 on a number line

Answers

Explanation:

Find -9/4 = -2 1/4 on the number line. Put an open circle at that point.

Shade the number line to the left of there, representing all values less than -9/4. The dot at -9/4 is open because it is not included in the graph.

the perimeter of a square is 66.8 cm. What is the side lengh of the square​

Answers

Side length = 16.7 cm

Solution:

Perimeter of a square given = 66.8 cm

In a square four sides are equal.

The perimeter of a square = 4 × side

⇒ 4 × side = 66.8 cm

Divide both sides of the equation by 4 to equal the expression.

⇒ side = 66.8 ÷ 4

⇒ side = [tex]\frac{66.8}{4}[/tex]

⇒ side = 16.7 cm

Hence, the side length of the square is 16.7 cm.

What is 40percent of 50

Answers

Answer:

20

Step-by-step explanation:

25=50% so minus 5

Answer:

20

Step-by-step explanation:

Multiply 50 by 0.4

Enter the unknown value that makes this statement true.
20% of ______ is 120

Answers

Answer:

20% of 600 is 120

Step-by-step explanation:

We shall use X as the variable

20% of x is 120

To find 20 percent of something, divide by 5.

Alternatively, you can find 10% of it then multiply by two.

600÷5 is 120

We see that 20% of 600 is 120

what is 3y+14-2=0 in substitution

Answers

Answer:

y=-4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3y+14−2=0

3y+14+(−2)=0

(3y)+(14+(−2))=0 (Combine Like Terms)

3y+12=0

3y+12=0

Step 2: Subtract 12 from both sides.

3y+12−12=0−12

3y=−12

Step 3: Divide both sides by 3.

3y/3= −12/3

y=−4

Answer:

y=−4

8.4(7x-4)+3.9 simplified

Answers

Final answer:

To simplify the expression 8.4(7x-4)+3.9, distribute 8.4 to both terms inside the parentheses and then add 3.9, resulting in 58.8x - 29.7.

Explanation:

The problem 8.4(7x-4)+3.9 requires simplification by applying the distributive property and then combining like terms. First, multiply 8.4 by both 7x and -4, and then add the constant 3.9 to the result.

Multiply 8.4 by 7x: 8.4  imes 7x = 58.8x.Multiply 8.4 by -4: 8.4  imes -4 = -33.6.Add the constant: -33.6 + 3.9 = -29.7.Combine the terms: 58.8x - 29.7 is the simplified expression.

p. John roller skates with a constant
speed of 12 miles per hour. How long
will he take to travel a distance of
30 miles?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:

1. multiply 12 by 2 to get 24

2. divide 12 by 2 to get 6 mph (miles per hour)

3. Add the 6 and 24

Evaluate: x/y for x= 3/10 and y= 4/5

A. 7/50
B. 7/15
C. 3/8
D. 12/50

Answers

C. 3/8 i think.......

Answer: 7/15

Step-by-step explanation:

Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteristics that you included in each equation to ensure that the system would not have a solution.
Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.

So I chose y = 4x + 4 and y = 4x - 4

And I wanna use y = 4x + 4 for part B. For my other part I will use y = -4x - 4
So far I have 4x + 4 = -4x - 4

What do I do next?

Answers

Answer:

sbf fb

Step-by-step explanation:

step step step

Answer:

sorry this was a year ago

Step-by-step explanation:

(2,7); m = -4
What is the equation in point-slope form

Answers

Answer:

where m is the slope and b is your y intercept

your equation is y = 2/7(x) - 12

Step-by-step explanation:

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