Suppose the graph represents the plans for a fence that Tara is
building for a new city dog park. Each unit on the graph represents
12 yards. After studying the plans, Tara decides to build a fence that
encloses a smaller area. If Tara dilates Rectangle ABCD by a scale
factor of 0.75, and fencing costs $6.39 per yard, how much will she
spend on fencing?

The approximate surface areas of corresponding prisms are listed below:

The surface area of the each figure ([tex]A[/tex]), in square units, is equal to the sum of the surface area of the two bases ([tex]A_{b}[/tex]), in square units, and the surface areas of the lateral sides ([tex]A_{l}[/tex]), in square units. Since bases are regular polygons, base surface area can be determined by this expression:

[tex]A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }[/tex]  (1)

Where:

The area of one lateral side is expressed by this expression:

[tex]A_{l} =h\cdot l[/tex]   (2)

Where h is the height of the rectangle, in units.

The total surface area is defined by the following formula:

[tex]A = 2\cdot A_{b} + n\cdot A_{l}[/tex]   (3)

Now we proceed to calculate each surface area:

[tex]A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)[/tex]

A = 108.136 units²

[tex]A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)[/tex]

A = 228.631 units²

[tex]A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)[/tex]

A = 453.874 units²

The approximate surface areas of corresponding prisms are listed below:

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293

Answer:

Look at the picture                

Answer:

L bozo

Step-by-step explanation:

bc ur an L. ur whole life is an L

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

Answer:

  615.8 in²

Step-by-step explanation:

The area of a sphere is given by the formula ...

  A = 4πr² . . . . . sphere of radius r

In terms of diameter, the area is ...

  A = 4π(d/2)² = πd²

__

For a diameter of 14 inches, the area of the beach ball is ...

  A = π(14 in)² = 196π in² ≈ 615.8 in²

The area of the ball is about 615.8 square inches.

Answer:

33 Is your answer :)

Step-by-step explanation:

Always do P.E.M.D.A.S ( always go in order it gives you) parenthesis, exponets, multiply/divide, and add/subtract

5^3+6*3=

15+18= 33

A cruise ships floats despites it mass because it is boyanty and experiences and upthrust

This principle states that "When a body is partially or totally imersed in a fluid, it experiences an upward force (Upthrust) which is equal to the volume of the fluid displaced"

Learn more about floation here:

https://brainly.com/question/17759399

Answer:

1036 in.²

hope that will help you

Answer:

Its still a rectangle, just move the triangles, you get 450

Step-by-step explanation:

If you think of it like a triangle, you can use the base, the 90 degree angle, and the hypotenuse to get the area, do it twice since there are two, and your result is 225 for one triangle, 450 for both.

Answer:

Step-by-step explanation:

The line perpendicual to a reference line will have a slope that is the negative inverse of the reference line.  In this case, the reference line is y= -(1/3)X+8, with a slope of -(1/3).  The negative inverse would be 3.  So the new line would have the form:

y = 3x + b

To find b, the y-intercept, use the given point and solve for b:

y = 3x + b

or 8 = 3*3 + b for the point (3,8)

8=9+b

b= -1

Thje equation of the line perpendicualr to the reference line and going through point (3,8) is:

y = 3x - 1

See attached graph.

Answer:

x=59 y= 81 z= 99

Step-by-step explanation:

z=

180-(57+24)=99

y=180-99=81

x= 40+81=121

180-121=59

Answer:

1,253 in³

Step-by-step explanation:

The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.

The formula for the volume of a rectangular prism is length×width×height or base×height

Let's substitute!

(l×w×h)+(l×w×h)

=(7×5×5)+(11×14×7)

=175+1078

=1,253 in³

Hope this helps!

The ABC and XYZ statements are trigonometric statements

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

Answer:

7.60+9.50 = 17.10

Step-by-step explanation:

7.60 * 125% = 9.50

9.50+7.60 = 17.10

Answer:

0.0095

Step-by-step explanation:

= 0.009455 ( as they are bigger than 4 )

= 0.0095

answer = 4 does it is correct

Answer:

Median without the outlier: 9

Median with the outlier: 9

Step-by-step explanation:

The outlier here is 1, because it's smaller than most of the values in the data set.

Median: the middle value of a data set

Median without the outlier: 9

7, 8, 8, 9, 9, 10, 10, 10, 10

Median with the outlier: 9

1, 7, 8, 8, 9, 9, 10, 10, 10, 10

9 + 9 = 18

18/2 = 9

Hope this helps!

Answer:

the without the outlier 9

set with with the outlier 9

Step-by-step explanation:

To create a work plan for the food intake of each person in the group, there needs to be the required 5600 calories and there needs to be a replacement for the caloric deficit.

This refers to the formal roadmap that is created for a project for the purposes of streamlining it.

Based on the fact that a map was not provided, there is insufficient data to solve the problem, so a general overview will be given about a work plan.

Because the group is 28,800 calories short and needs to complete the trip with their five members, then they need to ration their supplies.

Read more about work plans here:

https://brainly.com/question/7274240

#SPJ1

Answer:

5

Step-by-step explanation:

The slope is the same as the rate.

5 gallons/1 minute is the rate, so the slope can be written the same way.

5/1 = 5

Answer:

576π

Step-by-step explanation:

Surface Area of a Sphere

Given

Solving

Answer: Rs. 3120

Step-by-step explanation:

So...

rs. 2400 is the cost as of when it was overpriced by 20%

10%=240

20%= (240+240)= 480

Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR

Now we need to find what 30% is to find out the price if 30% was added to the original cost

so...

If 10%=240

30%=(240+240+240)= Rs. 720

Rs. 2400+720= Rs. 3120

Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.

The area of the considered composite figure is given by: Option: 6π + 16 cm²

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = [tex]\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2[/tex]

Thus, we get:

Area of the composite figure = [tex]2 \pi +2 \pi +2 \pi + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2[/tex]

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

Answer:

C -- 6 3/4

Step-by-step explanation:

4 + 2 = 6

5/8 + 1/8 = 6/8

6 divided by 2 = 3

8 divided by 2 = 4

you get the fraction 3/4

Answer:

5.1

Step-by-step explanation:

√26 = 5.099

5.099 is approximately 5.1

Answer:

5.1

Step-by-step explanation:

k12 quiz :)

Answer:

1,809 meters. (1 & 1/8 of a mile)

Step-by-step explanation:

quarter of a mile = 402 meters
402 * 4.5 = 1,809 meters = 1 1/8 mile

Answer:

mode = 1

Step-by-step explanation:

the mode is the value that occurs most often in the data set.

1 occurs 3 times and is therefore the mode

Answer:

x=4

Step-by-step explanation:

There