If you solve this i give you 50 points

The expression for the perimeter of the pool is 8x + 20 and the cost of fencing the pool is 27.76x + 69.4

There are two missing sides in the figure, and they can be calculated using the subtraction operation.

The equations to calculate the missing sides are:

Missing side 1 = 5x - 2 - (-6 + 4x)

Missing side 2 = 12 - x - (3x - 3)

Evaluate the equations

Side 1 = x + 4

Side 2 = 15 - 4x

Hence, the missing sides are x + 4 and 15 - 4x

This is the sum of the side lengths of the pool.

So, we have:

Perimeter = 5x - 2 + 12 - x - 6 + 4x + 3x - 3 + x + 4 + 15 - 4x

Collect like terms

Perimeter = 5x - x + 4x + x - 4x + 3x - 2 + 12 - 6  - 3  + 4 + 15

Evaluate

Perimeter = 8x + 20

Hence, the perimeter of the pool is 8x + 20

In (b), we have:

P = 8x + 20

Where P represents the perimeter of the pool

The cost of fencing the pool is the product of the perimeter and the unit cost per foot.

So, we have:

C = (8x + 20) * 3.47

Expand

C = 27.76x + 69.4

Hence, the cost of fencing the pool is 27.76x + 69.4

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Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

The equation that can be used to find out the total time it will take to William to mow the lawn is (75n) / 100=33.

This is a mathematical expression that represents a situation including a value that is not known.

In this case the best equation would be 75n / 100=33 as this is the only one that includes all the factors:

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Answer:

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]

[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]

[tex]3x+2y=1[/tex]

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

The answer is coincident :)

The third angle of the triangle will be ∠B = 71°.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

The third angle will be calculated as:-

∠A   + ∠C + ∠B = 180

42  +  67  +  ∠B = 180

∠B = 180 - 42 - 67

∠B =  71°

Therefore the third angle of the triangle will be ∠B = 71°.

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Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d

Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (at a 90° angle) to each other.

so, in our case the area is

7 × 2 / 2 = 7 × 1 = 7 units²

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Answer:

Step-by-step explanation:

Two legs of a right triangle measure 3 inches and 4 inches. Which of the following choice for the length of the third side will make the triangle a right triangle?

x = √(3²+4²)

x = √(9 + 16)

x = √25

Answer:

  x = -47.1

  x = -3.35454... (2-digit repeat)

Step-by-step explanation:

Each of the absolute value functions causes the overall behavior of the equation to change where that absolute value function's argument is zero. Those values of x are -7, -5/2, -2/5.

These breakpoints cause the domain of the equation to be divided into 4 parts. A graphing calculator shows us that solutions exist only in the two regions ...

In those regions, the equation simplifies to ...

  2(-(x +2/5)) -2(-(x +7)) = 2/3x +(-(x +5/2))

  x(-2 +2) -4/5 +14 = x(2/3 -1) -5/2 . . . . collect terms

  15.7 = -1/3x . . . . . . add 5/2

  x = -47.1 . . . . . . . multiply by -3

__

  2(-(x +2/5)) -2(x +7) = 2/3x +(-(x +5/2))

  x(-2 -2) -4/5 -14 = x(2/3 -1) -5/2 . . . . collect terms

  (-3 2/3)x = 12.3 . . . . . . . . add 1/3x +14.8

  x = -36.9/11 = -369/110

  x = -3 39/110 ≈ -3.35454... (2-digit repeat)

Answer:

so first do nothing and just fail health class

The value of y that satisfies given conditions is y = - 8.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).

So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.

∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).

-6/8 = (y - 1)/12.

-3/4 = (y - 1)/12.

-36/4 = y - 1.

- 9 = y - 1.

 y = - 8.

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Answer:

B

Step-by-step explanation:

2.

what is the middle between 2 numbers (any numbers, really) ?

you add both numbers and divide the result by 2.

the same here :

(-3 + 24) / 2 = 21/2 = 10 1/2

proof :

what is the distance from -3 to 10 1/2 ? it is 10 1/2 from 0 to 10 1/2 plus 3 from -3 to 0 = 10 1/2 + 3 = 13 1/2.

what is the distance from 10 1/2 to 24 ? it is 13 from 11 to 24, and another half from 10 1/2 to 11. so, in total 13 1/2.

both distances are equal, so it is proven for 10 1/2 to be the midpoint.

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

Answer:

288 m^3

Step-by-step explanation:

V=(1/3)Bh, where B is base, and h is height

The base will use the equation A=(1/2)bh

B = (1/2)12x9

B = 54

the height is given: 16m

substitute into Volume equation:

V=(1/3)54x16

V=288

Answer:

$10.50

trust me

answer:

342$

Step-by-step explanation:

Think about it........................ 77 + 33 =100

Answer:

[tex]\huge\boxed{\sf x > -1.25}[/tex]

Step-by-step explanation:

0.2 (x + 20) - 3 > -7 - 6.2x

Distribute

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1 > -7 - 6.2x

Add 6.2x to both sides

0.2x + 6.2x + 1 > -7

6.4x + 1 > -7

Subtract 1 to both sides

6.4x > -7 - 1

6.4x > -8

Divide 6.4 to both sides

x > -8/6.4

x > -1.25

[tex]\rule[225]{225}{2}[/tex]

Answer:

x > -1.25

Step-by-step explanation:

Using the distributive property: a(b + c) → ab + ac

1. Distribute '0.2'

0.2(x) + 0.2(20) - 3 > -7 - 6.2x

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1  > -7 - 6.2x

2. Add '6.2x' to both sides

0.2x + 6.2x + 1  > -7 - 6.2x + 6.2x

6.4x + 1 > -7

3. Subtract '1' from both sides

6.4x + 1 - 1 > -7 - 1

6.4x > -8

4. Divide both sides by '6.4' to isolate the variable

6.4x ÷ 6.4 > -8 ÷ 6.4

x > -1.25

Final answer: x > -1.25

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Answer:

D. 60

Step-by-step explanation:

210 baseballs divided evenly between 7 trash bins = 30 balls per bin

2 trash bins multiplied by 30 balls per bin = 60 balls in two bins

Hope this helps!

Answer:

It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

Answer:

  α = 3π/2

Step-by-step explanation:

To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.

  α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2

It is a quadrilateral, parallelogram, and a rhombus

Answer:

quadrilateral, parallelogram, and rhombus.

Step-by-step explanation:

All quadrilaterals have 4 sides, all parallelograms have 2 sets of parallel sides, and a rhombus has diagonals that bisect each other perpendicularly.

Answer:

Step-by-step explanation:

4x + 2 = 11

4x = 9

x = 9/4

2(9/4) - 1

9/2 - 2/2= 7/2

Answer:

20%

Step-by-step explanation: I took the test

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

Answer:

Center = (-4, 5)

Radius = 5

Step-by-step explanation:

Equation of a Circle :

Finding the center :

Finding the radius :

Answer:

Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:

154 m²

Step-by-step explanation:

To solve, use the formula for the area of a circle.

Remember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!

[tex]A = \pi r^{2}[/tex]

From the question, we know:

To use the formula, we need the radius ("r").

The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.

The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.

Solve for "r".

r = d/2

r = (14 m)/2

r = 7 m

Substitute r = 7 m and π = 22/7  into the formula for the area of a circle.

[tex]A = \pi r^{2}[/tex]                         Start with the formula and substitute.

[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex]                Square "7" and the "m".

Remember that the answer for area is always squared units.

[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]      

Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).

[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex]              Simplify the numerator.

[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex]                  Divide.

[tex]A = 154\ m^{2}[/tex]                   Final answer

∴ The area of the circle is 154 m².

Answer:

  14 donuts

Step-by-step explanation:

Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.

The attached shows a way to fit 14 donuts in the box.

_____

Additional comment

Packing them on a square grid allows only 12 donuts to be put in the box.

Answer:

what is this question man .......