Consider the figure below. What is the perimeter of the figure?

A. 73.4 units

B. 71.6 units

C. 69.1 units

D. 40.3 units

To find the area of the outer part of the square rug, calculate the total area using the length of the entire square (x + 8)² and subtract the area of the inner square (x²), yielding (x + 8)² - x² square inches.

The subject of this question is geometry - specifically area calculations in mathematics. The student is asking for the area of an outer part of a square rug. The main rug is comprised of a square within another square, with the side length of the smaller square being x inches and the distance in between the small and large square (representing the outer region) being 4 inches.

To calculate the area of the outer region, first, we need to calculate the side length of the outer (entire) square. This would be x + 2*4 = x + 8 inches (4 inches from each side). The total area of the rug would be squared side length of the outer square, which is (x + 8)² square inches.

Subsequently, the area of the inner part of the rug can be calculated as x² square inches (since it's a square). Therefore, the area of the outer part of the rug would be obtained by subtracting the area of the inner square from the total area of the rug, yielding: (x + 8)² - x² square inches.

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To find the area of the outer part of the rug, we first need to find the area of the entire rug and then subtract the area of the inner square.

Let s be the side length of the outer square.

The area of the entire rug is the area of the outer square:

Area of outer square = [tex]s^2[/tex]

Since the width of the outer region is 4 inches, we know that the side length of the outer square is [tex]\( s = x + (2 \times 4) = x + 8 \).[/tex]

So, the area of the outer square is:

Area of outer square = [tex](x + 8)^2[/tex]

Now, let's find the area of the inner square:

Area of inner square = [tex]x^2[/tex]

The area of the outer part of the rug is the difference between the area of the outer square and the area of the inner square:

Area of outer part = Area of outer square - Area of inner square

[tex]\[ = (x + 8)^2 - x^2 \][/tex]

Now, let's expand and simplify:

[tex]\[ = x^2 + 16x + 64 - x^2 \][/tex]

= 16x + 64

So, the area of the outer part of the rug is 16x + 64 square inches.

Answer:

The answer is B.432

Step-by-step explanation:

When you use a calculator but i used a app and simplified the question

Answer:

She biked 40 minutes.She ran 20 minutes.She swam 35 min.

Step-by-step explanation:

since you have 95 minutes for all parts first subtracted 15 from what she swam the you have four equal parts left the time she ram then twice she ran she biked and then the she swam 15 minutes More that she ran so you dived 95-15 which is 80  80/4 is 20 so she ran 20 min so 20 x 2 is 40 for she bike 40 then 20+15 is 35 so 40+20+35=95 an hour an 35 minutes

Answer:

12

Step-by-step explanation:

8/6 = 1.333333333

That is the scale factor

then you mulitply by 9

9*1.3333333333=12

plz mark brainliest

Answer:

Y = mx + b

Step-by-step explanation:

Answer:

180 centimeters

Step-by-step explanation:

First, you have to make these into 2 different shapes. Two different prisms. You can see all the dimensions on the right shape, but not the left. How do you know the width? Well, since the width is the same for the WHOLE figure, the width for both shapes is the same. To find the volume of a rectangular prism, you need to multiply the length, width, and height.

Length * height * width

Shape 1: [tex]8 * 3 * 5 = 120[/tex] cm

Shape 2: [tex]2*6*5=60[/tex] cm

Then, you add the volumes of the 2 shapes to get the final volume.

120 + 60 = 180 cm

Answer:

45

Step-by-step explanation:

this should be correct :)

There are 9 in the 100's

108

117

126

135

144

153

162

171

180

There are 8 in the 200's  (starting to see a pattern?)

207

216

225

234

243

252

261

270

There are 7 in the 300's

306

315  

324

333

342

351

360

9+8+7+6+5+4+3+2+1 = 45

To find the number of whole numbers between 100 and 999 with a sum of 9 as their digits, we can use combinations. By selecting the digits using the given steps, we find that there are 50 such numbers.

To find how many whole numbers between 100 and 999 have 9 as the sum of their digits, we can use the concept of combinations. We can select 3 digits (from 0 to 9) to form a number, and there are 10 choices for each digit. However, we need to consider the constraint that the sum of the digits should be 9. So, we can select the digits such that the first digit and second digit will have a sum of 9, and the third digit will also be 9. This can be done in the following steps:

Applying these steps, we have 10 choices for the first digit, 5 choices for the second digit (since the second digit cannot be greater than the first digit to achieve a sum of 9), and only 1 choice for the third digit. Therefore, the total number of whole numbers between 100 and 999 with a sum of 9 as their digits is 10 * 5 * 1 = 50.

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Answer:

100 x 13/16 x 25b =4

18 3/4 = 25b/4

b=25/4

b= 6.25

Step-by-step explanation:

25/4 = 6 1/4 last weekend and 18 3/4 this weekend.

Answer:

The square rug. The area of the rug is 39.69 ft² and is 0.33 ft² bigger than the rectangle rug.

Step-by-step explanation:

The find the area of a square, you multiply the length or the width (they all have the same length in a square) by the width (or the length), which would be the same exact number. So in that case—

The square has a side length of 6.3. To find the area of the square, we simply multiply 6.3 · 6.3 =39.69.

So, the area of the square is 30.69 ft²

————————————————————————————————————————

To find the area of a rectangle, you have to multiply the width by the length. (Or vise versa) This is showed by the following formula.

L·W=A

Where L=length, W=width, and A=area.

If the length is 8.2 and the width is 4.8, we can do the multiplicant equation that follows.

8.2·4.8= 39.36 ft².

Now that we have the area of both figures, we can compare them.

The square rug— 39.69

The rectangular rug— 39.36

Of we subtract the areas

39.69 and 39.36, we get the answer that the square rug is bigger by 0.33 ft².

You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.

So, in your case, we have

[tex]\dfrac{QR}{\sin(\hat{S})}=\dfrac{RS}{\sin(\hat{Q})}[/tex]

We know that [tex]\hat{S}[/tex] is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes

[tex]QR=\dfrac{26}{\sin(54)}[/tex]

Answer:

32.1 FT

Step-by-step explanation:

Answer:

6 and - 6

Step-by-step explanation:

Two numbers that are opposites and each more than 6 units away from 0 is (8, -8).

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

Given that, two numbers that are opposites and each more than 6 units away from 0.

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it (8, -8).

Therefore, two numbers that are opposites and each more than 6 units away from 0 is (8, -8).

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Answer:

Answer is B on Edge 2021

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Since 1/3÷2/5 can also be written as 1/3/2/5

So the ÷ can then be converted to × and 2/5 will change to 5/2

So let's solve

1/3×5/2

5/6

Since there is no common number that can divide the two

So the final answer is 5/6

Answer:

5/6

Step-by-step explanation:

1/3 divided by 2/5 is 2 1/2

this is because when you do this you use KCF

Keep Change Flip

you keep 1/3

change the sign to times

and flip the last fraction around to 5/2

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex]\frac{8}{10} * \frac{1}{2}[/tex]

[tex]\frac{8*1}{10*2}[/tex]

[tex]\frac{8}{20}[/tex]

[tex]\frac{8/4}{20/4}[/tex]

[tex]\frac{2}{5}[/tex]

Answer:  [tex]\frac{2}{5}[/tex]

Answer:

[tex]\frac{4}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] x [tex]\frac{1}{2}=\frac{4}{10}[/tex]

[tex]\frac{8(1)}{10(2)}=\frac{4}{10}[/tex]

[tex](0.8)0.5=0.4[/tex]

One half of 0.8 is 0.4.

Answer:

square root of 29 or approximately 5.38

Answer:

y = 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Assuming what you're talking about is a right triangle and the two sides are x, y= [tex]\sqrt{18} = \sqrt{9(2)} =\sqrt{9}[/tex] x [tex]\sqrt{2} = \sqrt[3]{2}[/tex]

Answer:

Sorry I'm late!

Step-by-step explanation:

Formula ⇒ [tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2}(5)(7)[/tex]

[tex]A = \frac{1}{2}(35)[/tex]

[tex]A = 17.5[/tex]

I hope this helps!

- sincerelynini

Answer:

8.

Step-by-step explanation:

To find the range, take your largest number and subtract it to

your smallest number. 15-7 is 8. Therefore, your range is 8.

Answer:

8 is the range

Step-by-step explanation:

Step 1:  Find the range

To find the range, subtract the lowest number from the highest number.

Example:  5, 9, 15

What is the highest number → 15

What is the lowest number → 5

What is the range 15 - 5 = 10 is the range

Problem:  7, 15, 12

What is the highest number → 15

What is the lowest number → 7

What is the range 15 - 7 = 8 is the range

Answer:  8 is the range

Answer:

width is 10 and the height is 5

Step-by-step explanation:

when divide 20 by 2 it gives you 10 and if you divide 10 by 2 it gives you 5 hope i helped

here this is the answer

Answer:

The answer is 4.

Step-by-step explanation:

The answer is 4, 1/8 of 32 is 4.

4 Raisin Bagels were sold on Saturday

Hope this helps!:)

Answer:

Step-by-step explanation:

Answer:

multiply

Step-by-step explanation:

Answer:

$8.25

Step-by-step explanation:

270 sectioned out by 45s is 7 toll booths on the highway. That means theres a toll booth at 0 mi, 45, 90, 135, 180, 225 and 270 mi. If Josh exits after 120 mi, he only hits the booth at the beginning and then the last one at 90 mi because he doesn't reach the next one at 135 mi. $2.75 per toll booth and if he passed 3, then 2.75 x 3 = $8.25.

This should be correct, hope it helps. :)

Answer:

second picture

Step-by-step explanation:

The rule to rotate a point counterclockwise about the origin is:

Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.

We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:

Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture

Answer:

b.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

164.7/8.6 = 19.15

about 20 miles per gallon

The best estimate of the rate of fuel consumption is C, 20 mi/gal

To estimate the rate between miles and gallons, we just need to take the quotient between the given distance and the volume of gasoline consumed. Then we will get the rate:

R = 164.7mi/8.6 gal

R = 19.4 mi/gal

The closest value is the one at option C, which is 20 miles per galon.

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