The area of a square patio is 36 ft sq. What are the side measurements of the patio?

2 ft by 18 ft

4 ft by 9 ft

3 ft by 12 ft

6 ft by 6 ft

please hellppppp!

Answer:  

9 diagonals  

Bit by bit clarification:  

Number of Diagonals = n(n-3)/2  

For instance, in a hexagon, the complete sides are 6.

Along these lines, the complete diagonals will be 6(6-3)/2 = 9.

Answer:

9 diagonals hope its helpful

Answer:

192 cubes.

Step-by-step explanation:

The volume of each cube  = (side)³  = (1/4)³  = 1/64 units ³

Next is to find how many cubes are needed to fill the prism.

The number of cubes  that will fill the prism  :

Vol. of prism / Vol. of cube = 3 / [tex]\frac{1}{64}[/tex]

                                            =192 cubes.

Therefore, it takes 192 cubes to fill the prism.

Answer:

-9.661

Step-by-step explanation:

In the given equation, a and b are negative. The values of a and b are given. If you insert the values into the given formula, the values become negative because of "-" in front of the a and b values.

-a + (-b)   =   -6.05 + (-3.611)

Because the second value is negative, the plus sign references to adding BOTH negative values together so it is just the same as saying:

-6.05 - 3.611

This gives you -9.661

Hope this helps!

The expression [tex](8 + 2 \times 6)^2[/tex], following PEMDAS, simplifies to 400.

Let's break down the steps in solving the expression [tex](8 + 2 \times 6)^2[/tex] in more detail (Follow PEMDAS).

Step 1: MultiplicationWe start by evaluating the multiplication operation, which is 2 x 6. The result of this operation is 12.

Step 2: AdditionNext, we evaluate the addition operation, which is 8 + 12. The sum of 8 and 12 is 20.

Step 3: SquaringFinally, we square the result of the addition, which is 20. Squaring a number means multiplying it by itself. In this case, [tex]20^2[/tex] means 20 multiplied by 20, which equals 400.

Therefore, the expression [tex](8 + 2 \times 6)^2[/tex] simplifies to 400.

Learn more about PEMDAS here:

https://brainly.com/question/36185

#SPJ4

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shape, a circle.

we know that the circumference of a circle is expressed as

[tex]C= 2\pi r[/tex]

Given that radius = 12 ft

The circumference can be solved for by substituting the value of r in the formula

C=2*3.142*12

C= 75.408ft

to 2 d.p the circumference is 75.41 ft

Answer:

3.2 ft

Step-by-step explanation:

The initial distance from the base of the ladder to the wall is:

[tex]20^2=16^2+d^2\\d=12\ ft[/tex]

After moving the ladder, the distance from the base to the wall is 12 - 2x while the height of the ladder is 16 + x. The distance x is given by:

[tex]20^2 = (12-2x)^2+(16+x)^2\\400 = 144-48x+4x^2+256+32x+x^2\\5x^2-16x=0\\5x=16\\x=3.2\ ft[/tex]

Therefore, the top of the ladder is  3.2 ft higher now.

Answer:

3.2ft higher

Step-by-step explanation:

Answer:

65 = <JKL

Step-by-step explanation:

There are two expressions that represent the same thing.

The diagram shows that <JKL = 45 + x

The question states that JKL = 3x + 5

The two expressions must be equal since they represent the same thing.

3x + 5 = x + 45

Subtract 5 from both sides

3x + 5 -  5 = x + 45 - 5

3x = x + 40                     Subtract x from both sides

3x - x = x - x + 40

2x = 40                          Divide by 2

2x/2 = 40/2

x = 20

So x + 45 = 20 + 45 = 65

or

3x + 5 = 3*20 + 5 = 60 + 5 = 65

Answer:

22.7 miles

Step-by-step explanation:

The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.

The shape of their journey can be represented as a right angled triangle, shown below.

To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.

We can do this by using Pythagoras theorem:

[tex]hyp^2 = a^2 + b^2[/tex]

where a and b are the other two sides of the triangle. Therefore:

[tex]hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles[/tex]

The pond is 22.7 miles far from the base camp.

Answer:

8/17

Step-by-step explanation:

total balls= 9 + 18 + 2 + 5 = 34

balls drawn should NOT be Orange.

so, 34 - 18 (as there are 18 orange balls)

16 balls

probability= 16/34 = 8/17

answer = 8/17

Answer:

These are two secant lines meaning we can use theorem 6-17 to find the value of x: 6x + 8x times 8x = 16 times 7

14x times 8x = 112

112x^2 = 112

x^2 = 1

x = 1

Answer:

x=1

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(9+7) *7 = (6x+8x)*8x

16*7 = 14x*8x

112 =112 x^2

Divide by 112

112/112 = 112x^2/112

1 = x^2

Take the square root

1 =x

Answer:

12.85

Step-by-step explanation:

P=1/2(3.14xd)+d

P=1/2x15.7+5

P=12.85

Answer:

The equation of the relationship is y = 1.25x + 6.5

Step-by-step explanation:

I graphed the ordered pairs on the graph below and found the slope and y-intercept of the line.

The price per game is $7.75. (If needed)

Answer:

375000 ft^2

Step-by-step explanation:

From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:

1000 = l + 2 * w

we solve for w:

l = 1000 - 2 * w

Also the area is equal to:

A = w * l

replacing:

A = w * (1000 - 2 * w)

A = 1000 * w - 2 * w ^ 2

We derive:

A '= 1000 - 4 * w

Let's equal 0:

1000 - 4 * w = 0

w = 1000/4

w = 250

replacing and we calculate l:

l = 1000 - 2 * 250

l = 500

A = 250 * 500

A = 15,000 ft ^ 2

Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:

125000 * 3 = 375000 ft ^ 2

Answer:

see below

Step-by-step explanation:

2* (4*8) = (2*4) * 8

This is the associative property of multiplication

Answer: D . No association

Step-by-step explanation:

The relationship between two variable is called correlation.

Hence, the correct option is D. No association.

Hi There. (Choice D) Is The Right Answer.

Step-by-step explanation:

Answer:

82 degrees

Step-by-step explanation:

First set 10x+8 equal to 12x-10 to find that the variable is equal to 9. Then solve for 10(9)+8 which equals 98. Since angle 1 is supplementary to angle two and supplementary angles add up to 180 degrees, subtract 98 from 180 to find that your answer is 82 degrees.

Answer:

The answer is option D

Took the quiz

Answer: They are equivalent because when x=2, the two expressions have the same value.

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

4 : 5

300 : ?

Divide 300 by 4 to find out what '1 part' would count as:

300/4 = 75

Multiply this by 5

75 x 5 = 375

Add the two values together

375 + 300 = 675

There are 675 students

Have A Nice Day ❤    

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Step-by-step explanation:

Number of boys=300

Ratio of boys to girls=4:5

let the number of girls=y

300/y=4/5

Cross multiply

300×5=4×y

1500=4y

Divide through both sides by 4

1500/4=4y/4

374=y

Number of girls is 375

Total number of students=Number of boys+Number of girls

Total number of students=300+375

Total number of students=375

Answer:

-1

Step-by-step explanation:

[tex]i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1[/tex]

Hope this helps!

Answer:

The correct answer is the third expression.

Step-by-step explanation:

We have the following equation:

[tex]4*x^2 + 4*y^2 + 16*x - 24*y = 34[/tex]

Let's organize it by variables, putting together the ones that have the same letter or no letter at all. We have:

[tex]4*x^2 + 16*x + 4*y^2 - 24*y = 34[/tex]

We can extract the common factor on the left side by dividing them by 4, we have:

[tex]4*(x^2 + 4*x) + 4*(y^2 - 6*y) = 34[/tex]

We need to complete the squares on the parenthesis without changing the value of the equation, to do that we will sum the proper values inside the parenthesis and those multiplied by four on the other side of the equation, we have:

[tex]4*(x^2 + 4*x + 4) + 4*(y^2 - 6*y + 9) = 34 + 16 + 36\\4*(x + 2)^2 + 4*(y - 3)^2 = 86[/tex]

The correct answer is the third expression.

Answer:

6

Step-by-step explanation:

idk

Answer:

[tex]sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]

Step-by-step explanation:

It is given that:

[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]

And we have to find the value of [tex]sin\theta_1 = ?[/tex]

As per trigonometric identities, the relation between [tex]sin\theta\ and \ cos\theta[/tex] can represented as:

[tex]sin^2\theta + cos^2\theta = 1[/tex]

Putting [tex]\theta_1[/tex] in place of [tex]\theta[/tex] Because we are given

[tex]sin^2\theta_1 + cos^2\theta_1 = 1[/tex]

Putting value of cosine:

[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]

[tex]sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}[/tex]

It is given that [tex]\theta_1[/tex] is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.

[tex]\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]

Answer:

−  square root 15/4

Step-by-step explanation:

Answer:

9 spoons knives =12

9 spoons cost= £ 82.80

total no of 1 knife = 12x9 = 108

1 knife = 82.80 x 108 = 8,94, 240

so, 1 knife Cost's =£ 8,94,240

Answer:

Step-by-step explanation:

rectangle + semicircle

= 8*6 + pi r^2/2

=48 + 22/7 * 3/2 * 3/2

then simplyn..

Answer:

The figure is a rectangle and a semicircle

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

275 ft

Step-by-step explanation:

The formula given to use for the slant height l of the cone is ;

l = (s - πr^2)/π

Now substituting the parameters given in the question, 500 π for area and radius of 15, we have

l = {500π-15^(2)π}/π

l =( 500 π -225 π)/π

l = 275 π/π

l = 275 ft

Answer:

275

Step-by-step explanation:

^ and what they said

Answer:

86cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first figure is rectangle , so

length = 15cm, breadth = 6cm

therefore area = l * b = 15*6 = 90cm^2

second figure is also a rectangle so,

length = 12+6 =18 cm ( or 9+9) , breadth = 9cm

therefore area = l*b =18*9 = 162cm^2

third figure is a semicircle , so

d = 11+9 = 20 cm  , r = d/2 =20/2 =10cm

area of semicircle = [tex]1/2[/tex] * [tex]\pi * r^2\\[/tex]

=1/2*22/7 *10*10

=1100/7 = 157 1/7 cm^2

if you add all the areas then you will get the requires area

hope it helps you

Answer:

$30.74

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

To find the constant

take the coefficient of x

10

divide by 2

10/2 =5

Square it

5^2 =25

Add this

x^2 +10x+25