Simplify the expression.

The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².

The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.

The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,

[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]

Substitute the dimensions we will get,

[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]

                              [tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]

Hence, the total surface area of this triangular prism is 1,782 cm².

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Step-by-step explanation:

Add 3y to both sides

6x-3y- 15 + 3y =0+3y

Simplify

6x- 15 =3y

Add 15 to both sides

6x-15 + 15 =3y + 15

Simplify

6x =3y+ 15

Divide both sides by6

6x/6= 3y/6+ 15/6

x=y+5/2

Answer:

-4

Step-by-step explanation:

3(6-2)+|-4| / 2

=-8/2

=-4

Answer:

y=11

Step-by-step explanation:

Answer:

x=37 and scalene or right triangle

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

Any Triangle his total angles = 180

then: 53 + 90 + X = 180

then: X= 180 - (90+53)

= 37

Answer:

V = 150.80 cu.ft.

Step-by-step explanation:

shape is a cone

[tex]V=\frac{1}{3} \pi r^{2} h[/tex]

[tex]r=8/2=4ft[/tex]

[tex]h=9ft[/tex]

Then:

[tex]V=\frac{1}{3} \pi (4)^{2} (9)=48\pi =150.80cu.ft[/tex]

Hope this helps

Answer:

[tex]B.210\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2[/tex]

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

Perimeter of given figure is equal to :

Perimeter of square - side length + quarter Circumference of the circle

that is :

[tex]\qquad \sf  \dashrightarrow \:(10 \times 4) - (5 + 5) + \dfrac{2 \pi r}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:40- 10 + \dfrac{3.14 \times 5}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:30+ \dfrac{15.7}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:30 + 7.85[/tex]

[tex]\qquad \sf  \dashrightarrow \:37.85 \: \: units[/tex]

So, the required perimeter is 37.85 units

Answer:

about 62.8 meters

Step-by-step explanation:

[tex]c = 20\pi = 62.8[/tex]

Answer:

1,2,4 is the correct answer

hope it'll help you out

Answer : Look at the right hand side of the page y = 1/3x + 3

If the radius of the circle below is 12 feet is given then the area of the circle would be 452.16 ft square.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

If the radius of the circle below is 12 feet is given then

The area of the circle = [tex]\pi r^{2}[/tex]

 [tex]\pi 12^{2} \\\\3.14 \times 144\\\\452.16[/tex]

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Find area of a rectangle and then subtract 2 triangle shapes from the top.

12 x 13 = 156
1/2 x 3 x 7 = 10.5

1/2 x 4 x 6 = 12

area = 156 - 10.5 - 12 = 133.5 square units

Answer:

Day 3

Step-by-step explanation:

2+0.25+0.25=2+0.50=2.50

0.5+0.5+0.5=2+0.5=2.5=2.50

they both run 2.50 miles on day three

Answer:

Step-by-step explanation:

I get everything correct

Answer: the correct answer is S= 4/7 inches.

Answer: shorts cost $12 and socks cost $3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

b is correct

Answer:

25 percent; each section of the box plot counts as 25%

The value of percentage of the data values are between 90 and 110 is,

⇒ 50%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The box-and-whisker plot below represents some data set.

Now, We get;

Range of data set = 130 - 90

                            = 40

Hence, The value of percentage of the data values are between 90 and 110 is,

⇒ (110 - 90)/40 x 100

⇒ 20/40 x 100

⇒ 50%

Thus, The value of percentage of the data values are between 90 and 110 is,

⇒ 50%

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Answer:

The answer your looking for is 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

i took the test

Answer:

42 students in total

Step-by-step explanation:

we could surmise that the question wishes to find the minimum number of students who had been in Mr. Jone's algebra class, so we let 'x' represent the original count of students in the class and we have the following inequality:

14 <= x/3

x >= 42

the class had no less than 42 students

Answer:

0.5/3

Step-by-step explanation:

1/2 can be turned into 2/4, which means that to be 1/3, it has to be 1.5/3. 1.5/3 + 0.5/3 equals 2/3.

you will need 10 for every 3 rabbits so if you count in tens and three's

3=10

6=20

9=30

and so on..

when you get to 27 you'll be at 90

27=90

hope u understand :>

Answer:

80%

Step-by-step explanation:

We can get the percent value of the amount of students who have older siblings by diving 28 by 35.

28 / 35 = 0.8

We can convert this decimal into a percentage, giving us 80%.

Therefore, we know that 80% of the students in Ms. Bailey's class have siblings.

Answer:

[tex]19 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3}{10} \times 65 = \frac{3}{10} \times \frac{65}{1} = \frac{195}{10} = 19.5 = 19 \tfrac{1}{2} [/tex]

The required simplified value of the given product is a mixed value 19 1/2.

Given that,
To determine the product write the product as a whole number or a mixed number 3/10 × 65.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 3/10 × 65
= 195/10
= 19.5
=19 1/2

Thus, the required simplified value of the given product is mixed value 19 1/2.

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Answer:

3lb 4oz and .5T=1000lbs

Step-by-step explanation:

1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000

Answer:

Approximately $6.24

Step-by-step explanation:

You have to multiply 41.58 by 0.15 (basically 15%) and you have your answer.

The given object is made up of circle and squares. The expression for the area of the flower garden is 4π²(9π - 4)square units

The given object is made up of circle and squares. To find the area of the garden, we wil use the expression

Area of the garden = area of circle - area of square

Find the area of circle

Area = πr²

Area = π(6π)²

Area pf circle = 36π³ square units

For the square

A = length * length

A = 4²π²

A = 16π²square units

Take the difference

D =   36π³ - 16π²

D =4π²(9π - 4)square units

Hence the expression for the area of the flower garden is 4π²(9π - 4)square units

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Answer: (pi * r^2) - (6x*4x)

Step-by-step explanation:
Since the formula of the area of a circle is pi * r^2 and the area of a square is base* height or in this case 6x*4x the answer is: (pi * r^2) - (6x*4x). The reason we subtract is because your trying to find the area of the square inside the circle.

Answer:

x = 4

Step-by-step explanation:

(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.

(6x - 3)° = (2x + 13)°

6x - 2x = 13 + 3

4x = 16

x = 4

Substitute x for the angles.

(6x - 3)° = ?

(6*4 - 3)° = ?

(24 - 3)° = 21°

(2x + 13)° = ?

(2*4 + 13)° = ?

(8 + 13)° = 21°

Step-by-step explanation:

fold -2

40×(-2) = -80 ........