The diagram shows a semi-circle inside a rectangle of length 150 m.
The semi-circle touches the rectangle at A, B and C.
Calculate the PERIMETER of the shaded region. Give your answer correct to 3 significant figures. Ive worked out everything so far but im missing a mark

The Diagram Shows A Semi-circle Inside A Rectangle Of Length 150 M.The Semi-circle Touches The Rectangle

Answers

Answer 1

The diagram shows a semi-circle inside a rectangle of length 150 m.

The semi-circle touches the rectangle at A, B and C,  the perimeter of shaded region is 267.8m

Perimeter of a circle =  2 πr

Thus, as per the diagram given:

Length of rectangle = 150 m

The radius of semi circle = half of 150 m = 75 m

So, the width of the circle is same as radius = 75 m

The shaded region is bounded by the circumference of a quarter circle (AB) and the two sides measuring it are 75 m each.

Perimeter of Quarter circle = 2πr

On substituting r

Perimeter of Quarter circle = 2π x 75

Perimeter of the shaded region = 117 + 75 + 75 = 267.8 m

The diagram shows a semi-circle inside a rectangle of length 150 m. The semi-circle touches the rectangle at A, B and C,  the perimeter of the shaded region is 267.8m

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Related Questions

A boat travels upstream on the Mississippi River for 3.5 hours. The return trip takes only 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel downstream?

Answers

The distance that the boat travel is 17.5 miles per hour.

How to calculate the distance?

A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y = the speed that was traveled upsteam.

This will be illustrated as

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream will be:

= 3.5 × 5

= 17.5 miles per hour

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What is the value of x in the triangle?

Answers

the answer will be 10 as if you look it is the same size as the others

The students in a class were asked wether they preferred football , tennis or hockey. The ratio of students who preferred football to tennis to hockeys is 14:8:3. What percentage of students preferred tennis

Answers

Answer:

32%

Step-by-step explanation:

Well, 14+8+3=25

So, 8/25=32/100, which means 32%

Answer:

Person above me is right

Neil bought a house for £235 000
In the first year the value of the house depreciated by 4%
In each of years 2 and 3 the value of the house increased by 6%
Work out the value of the house at the end of year 3

Answers

Answer:

Based on the given conditions, formulate: 235000×(1+1-4%)

Calculate the sum or difference:235000×(2-0.04)

Calculate the sum or difference:235000×1.96

Calculate the product or quotient:460600

get the result:460600

So the answer is 460600

Answer:

£ 253,484.16

Step-by-step explanation:

Cost of house for first year = £235,000

Year 1

Depreciation for first year  is 4% = 4/100

Depreciation in £ = 235,000 x 4/100 = £9,400

Effective value of house at end of first year
= 235000 - 9400 = £225,600

Year 2

In the second year the house  value increased by 6% = 6/100

So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536

So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136

Year 3

The value increased by 6% for year 3.

Value at beginning of year 3 = £239,136

Increase in value at 6% = £239,136 x 6/100 = £14,348.16

Total Value at end of year 3

=  £239,136 + £14,348.16

= £253,484.16

Answer: £253,484.16

Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is  (1 - 4%) of initial value = 1 - 4/100 = 0.96

An increase of 6% means the new value will be 1.06 times the initial value

So the value of the house after 4% depreciation for the first year and 6% appreciation for the next  2 years

= 235000 x (0.96)(1.06)(1.06) = 253,484.16

find the equation of the line. a line that is parallel to the graph of 2x+3y=5 and conatians the point (3,-1)

Answers

The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)

Equation of a line

A line is defined by the shortest distance between two points,

The equation of a line in point slope form is expressed as;

y - y₁ = m(x-x₁)

where

m is the slope

(x₁, y₁) is any point on the line

Given the following parameters

Point = (3, -1)

Given the equation 2x + 3y = 5

3y = -2x + 5

y = -2/3x + 5

Slope = -2/3

Substitute

y - (-1) = -2/3(x-3)

y+1 = -2/3 (x - 3)

This gives the required equation of the line.

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help please i really need help lol

Answers

Answer:

68

Step-by-step explanation:

because first u have to add it all up then take away

Please help!!!!!!!!!

Answers

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Directions: Rewrite each list of numbers in order from least to greatest 2%, 4¹ , 7/25, 2×10¹, √2, 0.2 repeating​

Answers

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

What is basic algebra ?

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression. In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

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Find the median, mode, and range.

Answers

For the given discrete data series,

Median = 4'7"

Mode = 4'8"

Range = 1'3"

To begin with, let us arrange the given discrete data series in ascending order as follows:

3'7"     3'11"    4'3"    4'6"      4'7"      4'7"     4'8"      4'8"      4'8"     4'9"   4'10"

To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"

To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.

To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"

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Janet picked a number, added 7 to the number, multipled the sum by 2,
and then subtracted 4. If the final result was 28, what number did Janet pick?


HELP PLEASE!!!!!

Answers

the number chosen by Janet was 9 .

What is linear / non-linear equation ?

An equation is a statement in which the values of two mathematical expressions are equal. These statements consist of constants and variables. Constants are values that never change. Variables like y or x represent unknown numerical values. Nonlinear equations are equations that appear as curved lines when you graph them. After plotting pairs of values that make the equation true on a coordinate grid, you can't draw a straight line between the points.

Calculation

from the question given we can come to an equation that is

2( x+7) - 4 = 28

if the number chosen by Janet is x

lets find x

2x + 14 - 4 = 28

2x = 18

x = 9

therefore the number chosen by Janet was 9 .

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What is the value of (−13)3 when evaluated?

−169
39
−2,197
2,197

Answers

Answer: I pretty sure that the answer is -169

Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!

The value of the expression (−13)³ when evaluate is equal to -2,197.

As given in the question,

Given expression is equal to  :

( -13 )³

Property used while evaluating the expression:

( - )  × ( - ) = ( + )

( + ) × ( - ) = ( - )

Evaluate the given expression ( -13 )³ value we get,

( -13 )³

Multiply first two terms we get :

= ( -13 ) × ( -13 ) × ( -13 )

= ( 169 ) × ( -13 )

Now , multiply 169 to (-13 ) the value we get

= ( -2, 197 )

Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.

The complete question is:

What is the value of (−13)³ when evaluated?

a. −169

b. 39

c. −2,197

d. 2,197

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Which type of transformation would move figure 1 onto figure 2?
translation
reflection
rotation
dilation

Answers

It should be reflection

Order from least to greatest {-6,-8, 3,-1,-4}

Answers

Answer:

-8, -6, -4, -1, 3

Step-by-step explanation:

Hope it helps! =D

What is the circumference of a circular park with a radius of 100 meters?
(Round your answer to the nearest tenth.)
OA. 628.3 m
OB. 157.1 m
OC. 314.1 m
OD. 1256.6 m ?

Answers

Answer A hope this helps

Simplify: (8c3+c2d)−(9cd2−5d3)+(−3c2d−8cd2)

Answers

8c^3-5d3-2c^2d-17cd^2

if a tv has a 30 inch screen and a height of 18 inches what is the width of the tv

Answers

Answer:

24 inches

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]18^{2}[/tex] + [tex]b^{2}[/tex] = [tex]30^{2}[/tex]

324 + [tex]b^{2}[/tex] = 900

[tex]b^{2}[/tex] = 576

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{576}[/tex]

b  = 24

Answer:

24 inches

Step-by-step explanation:

Since the size of the screen is measured from the lower corner to the opposite upper corner.

therefore it forms a right angled triangle.

given hypotenuse is 30inch

the height is 18 inches

using the Pythagorean theorem

[tex] {hypotense}^{2} = {width}^{2} + {height}^{2} [/tex]

then

[tex] {30}^{2} = {width}^{2} + {18}^{2} \\ 900 = {width}^{2} +324[/tex]

Subtract 324 from both sides

[tex]576 = {width}^{2} \\ width = \sqrt{576} = 24 \: \: inches[/tex]

mickey mantle played for the new york yankees for 18 years from 1951 to 1968. year by year he hit the following numbers of home runs: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. we represent these as a vector x in r by making the following assignmemt:

Answers

The sample mean of z = 247-925

Given Data:

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.

Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:

X < - C (  13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)

Y < - Cumsum (X)

Y

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

> W < - 714 - Y

> W

Y

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

> W < - 714 - Y

> W

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

> Z < - C (X, Y, W)

>Z

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

a) Z's minimal value = 13

b) Sum of the element's squares in Z = 5853370

c) Z's sample mean = 247.9259

d) The variation of z in samples (variance) = 478133.92

e) Z's Standard Deviation = 218.6639

f) W's 18th element = 178

g) X's Sample Variance = 142.6536

h) The sample variance of 5x = 3566.34

i) Length of elements in 5x = 18

j) The unique (different) values are in Z = 52

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There are 11 cups. Six of the cups contain milk. One of them contains soda. Four of them contains water. What fraction of the cups contain water and milk

Answers

Answer:

10/11

Step-by-step explanation:

count how many cups and then what ones have water and milk

What is the greatest common factor of 24, 36, 72?​

Answers

The greatest common factor of 24, 36 and 72 is 12.

12 is the greatest common factor of 24, 36, and 72

(100 points) While practicing a tightrope walk at a height of 20 feet, a circus performer slips and falls into a safety net 15 feet below. The function h(t) = -16t^2+20, where t represents time measured in seconds, gives the performer's height above the ground (in feet) as he falls. Write and solve an equation to find the elapsed time until the performer lands in the net. Will give brainiest to person who answers the questions correctly.

Answers

The equation to find the elapsed time is  -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds

How to determine the equation to find the elapsed time?

The given parameters are:

h(t) = -16t^2 + 20

Also, we have:

Safety net = 15 feet below

This means that

h(t) = -15

Substitute h(t) = -15 in h(t) = -16t^2 + 20

So, we have

-16t^2 + 20 = -15

Add 15 to all sides

-16t^2 + 20 + 15 = 0

Using a graphing calculator, we have

t = -1.479 and t = 1.479

Time cannot be negative

So, we have

t = 1.479

Hence, the time is 1.479 seconds

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plsssssssssssssss help

Answers

Answer: Im not sure what is supposed to happen here but x=3

Step-by-step explanation:

1. A grocery store sells salmon for $7.84 per pound. What would be the cost of 2 1/4
pounds of salmon?

Answers

Answer:

$17.64

Step-by-step explanation:

Multiply 7.84 by 2.25

7.84 x 2.25 = 17.64

Answer:

$17.64

Step-by-step explanation:

1 pound salmon = 7.84

2.25 (2 1/4) pound salmon = 17.64

what is the mean of 21,23,19,23,and 21

Answers

Answer:

21.4 (or 107/5)

Step-by-step explanation:

what is the mean of 21,23,19,23,and 21?

Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.

(21+23+19+23+21) : 5 =

107 : 5 =

21.4 (or 107/5)

What is 22 divided by 1034

Answers

Answer:

47

Step-by-step explanation:

you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47

The ratio of boys to girls in a classroom is 3:5 If there are 35 girls
in the class, how many boys are in the classroom?

Answers

Boys to girls

3 : 5

? : 35

35/5 = 7

5 x 7 gives number of girls.

So, 3 x 7 will give number of boys, which is 21

Thus, there are 21 boys

(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )

Hope this helps!

pls pls help whoever gets it right gets marked brainliest

Answers

Answer: a

Step-by-step explanation:

i think the answer is a

Drawing 1 uses the scale of 1 cm to 5 mi
Drawing 2 uses the scale of 1 cm to 10 mi
Which drawing is SMALLER? Why?
is smaller because

Answers

The scale of 1 cm to 5 mi is smaller.

What is scale drawings?

An object is enlarged in a scale drawing. An expansion increases or decreases the size of an object by multiplying each of its lengths by a scale factor. Consequently, when using scale drawings: Find out what the drawing's scale is. Use a ruler to measure the distance on the drawing (or, if available, count the number of squares). To get the distance in real life, multiply the measurement by the scale.

Given Data

Drawing 1 uses the scale of 1 cm to 5 mi

Drawing 2 uses the scale of 1 cm to 10 mi

the scale of 1 cm to 5 mi is smaller.

1 inch to 5 miles scale means that on the drawing, 1 inch corresponds to 5 actual miles. If a road is depicted on a drawing as being 2 inches long, it is actually 10 miles long.

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3862 × 874 pls write step by step

Answers

надеюсь что объяснила точно и нормально

How will the volume of a cube change if its edge becomes twice as long; 3 times as

long; 10 times as long; n times as long?

Answers

Answer:8s^3 , 27s^3 , n^3s^

Step-by-step explanation:

As we know that

Volume of the cube = side × side × side

let us assume that one side is s

side = 2s

Then,

Volume = 2s ×2s×2s

=8s^3

side =3s

Then,

Volume= 3s×3s×3s

 =27s^3

side =ns

Then,

Volume= ns×ns×ns

 =n^3 s^3



insert brackets to make the statement true 10 + 2 x 3^2 - 2 = 84

Answers

Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).

How to illustrate the information

It should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.

This will be illustrated thus:

= 10 + 2 × 3² - 2

= (10 + 2) × (3² - 2)

= 12 × (9 - 2)

= 12 × 7

= 84

Therefore, the expression is true.

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