Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.

To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.

Answer:

5 : 1

Step-by-step explanation:

Unit conversion (between cm and mm) : 1 cm = 10 mm

⇒ 4 cm : 8 mm

⇒ 4 x 10 mm : 8 mm

⇒ 40 mm : 8 mm

⇒ 5 : 1

Answer:

7 m3

Step-by-step explanation:

Correct

The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.

The volume of the rectangular prism is calculated as,

V = LWH

V = 4 m x 0.5 m x 4 m

V = 8 m³

The volume of the triangular prism is calculated as,

V = (BHL) / 2

V = (2 m x 1 m x 0.5 m) / 2

V = 0.5 m³

Since there are two triangular prisms, the total volume of both triangular prisms is:

⇒ 2 x 0.5 m³

= 1 m³

The total amount of cement is calculated as,

⇒ (Volume of rectangular prism - Total volume of both triangular prisms)

⇒ (8m³ - 1m³)

⇒ 7 m³

Thus, the correct option is B.

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Check the picture below.

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]

The total wages of Steve will be equal to W=$560 worked for 56 hours.

The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.

Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.

The total time will be:-

40+8+(1÷2)x8x2=56

Now the total earnings will be given as:-

T=10x56=$560

Hence the total wages of Steve will be equal  W=$560 worked for 56 hours.

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An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.

Statistical question can be regarded as the question that needed alot of data processing before one can answer it.

When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.

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The value of x in the equation is 25

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

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Answer:

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by

Assuming rocket launched at t = 0 and height is measured above sea level in meters.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

The true statements based on the graph :

Answer: x=60°, y=60°

Step-by-step explanation:

because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.

Answer:

y = -x + 1

Step-by-step explanation:

I just checked it in the desmos graphing calculator and it was correct.

Answer:

y = -x + 1.

Step-by-step explanation:

The graph rises to the left so has a negative slope.

slope  = -1 and y-intercept = 1

Answer:

55

Step-by-step explanation:

we can get the answer by putting it in the calculator

Answer:

I do believe its 5 units, if I am incorrect I apologize

Step-by-step explanation:

Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

Answer:

y = 2x + 7

Step-by-step explanation:

Sure, post the questions.

The true statements are:

Given:

To find the large size meals that came with milk,

71-55= 16.

Therefore, the total number of large size meals ordered was:

16+22+86 = 124.

Hence, options A, D and E are correct.

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The solution to the system of equation is (4.75, -11)

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

3.2x + 0.5y = 4.2

-1.6x -0.5y = 3.4

add equation(i) to equation(ii)

Therefore,

1.6x = 7.6

divide both sides by 1.6

x = 7.6 / 1.6

x = 4.75

Therefore,

3.2(4.75) + 0.5y = 4.2

0.5y = 4.2 - 15.2

0.5y = -11

y = - 11 / 0.5

y = - 22

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Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer:

It's 90° degrees .

Explanation :

A right angle meseaures correct 90° degrees .

Answer:

A.

Step-by-step explanation:

Because if she plays for a certain amount of time it would go up. And it she took a break it would be a straight line then go up the same line as the one at the bottom. Thus making your answer A.

Answer:

it should take the workers 18 days to finish

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.

Answer:

66.84 feet.

Step-by-step explanation:

Distance around = length of straight part + length of the semi-circle

= 2*13 + π*13

= 66.84 feet.

The ratio of the area of sector abc to the area of sector dbe is 4:3

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

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Answer:

10.308

Sure hope this helps you

Answer:

720

Step-by-step explanation:

height is 22

right triangle sides are

5 12 and 13

Answer:

B) 720 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

=======================================

Solve for area: 12 × 5 + 22 × (30) = 720 cm²

The height of the tree is 30 times the height of the verticle stick.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A vertical meter stick casts a shadow of 0. 4 meters.

If a tree casts a shadow of 12 meters at the same time.

Let x be the height of the stick and y be the height of the tree. Then we have

y/x = 12/0.4

y/x = 30

  y = 30x

The height of the tree is 30 times the height of the verticle stick.

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Answer:

the answer is 22 hope this helps

Step-by-step explanation:

7(-7)= -49

-49+149=100

100-56=44

44/2=22

Answer:

Here is the ans ..hope it helps