Calculate the perimeter of the shape below. Show your work.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]

[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]

[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]

Circumference of Semicircle :

[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]

[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]

[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]

Length of common side = 4 feet

So, perimeter of composite figure :

[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]

[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]

Answer:

B

Step-by-step explanation:

the sum of the roots = - [tex]\frac{b}{a}[/tex]

x² + 6x - 55 = 0

with a = 1 , b = 6 , then

sum of roots = - [tex]\frac{6}{1}[/tex] = - 6

Answer:

True

Step-by-step explanation:

Answer:

17+y

Step-by-step explanation:

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

Step-by-step explanation:

so, the garden seems to be rectangular.

it has a length.

and width = length - 2

I assume the fence should go all around the rectangular garden.

that means it has to cover 2 lengths and 2 widths.

fence = 2×length + 2×(length - 2) =

= 2×length + 2×length - 4 = 4×length - 4 =

= 4×(length - 1)

length = 7.5 m

so, he will need

4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.

The surface area, the lateral area and the volume are, respectively:

The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.

In this exercise we must follow these steps to obtain the required results:

Lastly, we proceed to make the corresponding calculations:

S = (10 mi)² = 100 mi²

L = 4 · (10 mi) · (5 mi) = 200 mi²

V = S · h = (100 mi²) · (5 mi) = 500 mi³

S = 0.25 π · (16 cm)² ≈ 201.062 cm²

L = π · (18 cm) · (9 cm) ≈ 508.938 cm²

V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³

S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²

L = (5) · (4 km) · (9 km) = 180 km²

V = S · h = (139.5 km²) · (4 km) = 558 km³

S = 0.5 · (3 km) · (4 km) = 6 km²

L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²

V = S · h = (6 km²) · (9 km) = 54 km³

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Name of the shape:

Surface Area of Right Triangular Prism:

⇒ Base x Height + Length(perimeter of the base)

There surface area of this shape is 144 cm²

#a

#b

If sides be L,B,H

Then

#c

Now

Prices given by

Mean:-

[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]

[tex]\\ \rm\Rrightarrow 22220\$[/tex]

mean price = $22320

mean is the average of a set of given numbers

set { $24,600, $19,000, $33,000, $15,000, $20,000 }

[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]

[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]

[tex]\sf \rightarrow mean = 22320[/tex]

The feet per minute that John is travelling down 195 is 4840 feet per minute.

Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.

In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :

1 mile = 5280 feet

1 hour = 60 minutes

55 x (5280 / 60) = 4840 feet per minute

To learn more about average speed, please check: https://brainly.com/question/21734785

If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.

Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.

Carly:-

Area:-

#Carter

Area:-

Carter's room is expensive

Answer:

B. 1 pound

Step-by-step explanation:

16 * 1 = 16

1 ounce = 0.0625 pounds

1 pound

Answer:

230=8X+27.75X

230=35.75X

x = 6 Rounded down

8*6=48

27.75*6=166.5

48+166.5=214.5

Amount of frindes can go is 6

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

There are 7 choices for president.

Then there are 6 choices for vice-president.

Finally, there are 5 choices for treasurer.

7 × 6 × 5 = 210

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at https://brainly.com/question/26867415

Answer:

Please post the full question.

Step-by-step explanation:

I am trying to help, but the question is missing some key info.

Please dont delete, as when he posts the full thing, I will reply to this answer with the answer and explanation.

Answer:

7

Step-by-step explanation:

Answer:

x > 34

Step-by-step explanation:

Let x be the width of the picture frame

It then follows that the length = x + 7

Therefore, our inequality is:

[tex]2(x+7) +2x > 150\\2x+14+2x > 150\\4x > 136\\x > 34[/tex]

For all values of x greater than 34 the perimeter is greater than 150 inches.

Answer:

x is greater than 34 inches.

Step-by-step explanation:

Let x = width, then the length = x+7 inches.

Perimeter =  2(W + L) = 2(x + x + 7) = 4x + 14 , so:

4x + 14 > 150

4x > 150 - 14

4x > 136

x > 34.

Answer: 9

Step-by-step explanation:

Answer:

61.3 to infinty

Step-by-step explanation:

1. Multiple: 7(8) = 56

2. Multiple: 2(4) = 8

3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43

4. Multiple: the result of step 3: 4 = 8/3

* 4 = 8 · 4/

3 · 1

= 32/

3

5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3

= 56/1

- 32/3

= 56 · 3/1 · 3

- 32/3

= 168/3

- 32/3

= 168 - 32/3

= 136/3

6. Multiple: 2(8) = 16

7. Add: the result of step 5 + the result of step 6 = 136/3

+ 16 = 136/3

+ 16/1

= 136/3

+ 16 · 3/ 1 · 3

= 136/3

+ 48/3

= 136 + 48/3

= 184/3

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.

Learn more about Trapezoid at:

https://brainly.com/question/1410008

Answer:

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

What is the area of the rearranged figure?

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

Step-by-step explanation:

I got it right on Edmentum

Answer:

c= 30

Step-by-step explanation:

To find the value of c, start by forming an equation using the ∠ sum of ∆ property.

c° +60° +90°= 180° (∠ sum of ∆)

Simplify:

c° + 150°= 180°

c°= 180° -150°

c°= 30°

c= 30

Notes:

Answer:

[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]

The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...

[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]

We now have to simplify this expression. Let's do that.

[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]

Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!

[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]

With that information, we have solved the problem, your final answer is tanɵ

What have we learned?

Answer:

m = 80

Step-by-step explanation:

40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )

80 = m

A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

[tex]z = \dfrac{x-\mu }{s}\\[/tex]

x = 29

s = 3.6

z = 1.5

Then the mean will be

[tex]1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

#3 is 100

#2 is west

#1 is 80

Step-by-step explanation: