19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.

19th October, 2020the Diagram Below Is A Plane Figure Made Upof A Rectangle Of Sizes 50m By 28 M And

Answers

Answer 1

Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]

                          = [tex]\frac{1}{2}*28*24[/tex]

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      [tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle


Related Questions

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Answer:

25x^14

Step-by-step explanation:

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Between what integers does this negative zero occur?

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

P = pizza slices

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Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
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Answer: F = 9/5K - 459.67

find a round to the nearest tenth

Answers

Answer:

Side C= 22

Side B = 12

Side A= 22.16627

i do think it is 22.16627

Step-by-step explanation:

hope this helps

Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bonds of similar risk is 8 percent. The bonds are currently callable at $1,150. The theoretical value of the bonds will be equal to the present value of the expected cash flow from the bonds. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Answers

Answer:

The correct answer will be "1197.93".

Step-by-step explanation:

According to the question:

Semi annual coupon:

= [tex]10 \ percent\times \frac{1000}{2}[/tex]

= [tex]50[/tex]

Number of periods:

= [tex]20\times 2[/tex]

= [tex]40[/tex]

Semi annual YTM:

= [tex]\frac{8}{2} \ percent[/tex]

= [tex]4 \ percent[/tex]

Now,

The market value of bond will be:

= PV of Coupons + PV of Par Value

On putting the values, we get

= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]

= [tex]1197.93[/tex]

Note: percent = %

Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)

Answers

All you have to do is plot the points on the graph and then draw a line for the points to meet each other.

What is the 6th term of the geometric progression
12.6.3, ... ?

Answers

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

Should it matter if areas far from large cities lose population?

Answers

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?

Answers

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

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4a=170

a=42.5

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Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

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(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

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1. If point (7.-2) is translated right 10 and down 4. What is the new coordinate for the point?​

Answers

Answer:

The answer would be (17,-6). It's just add to the original coordinates.

Step-by-step explanation:

Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)

Answers

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = [tex]\frac{4}{3}[/tex]

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

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y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

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                -3x = 21

                  x = -7

Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?

Answers

Answer:

Erik's chips are a better buy by 10 cents per ounce

Step-by-step explanation:

Erik's chips cost by ounce: $0.32

Al's chips cost by ounce: $0.42

Sorry if this didn't help. This is my first answer

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

Step-by-step explanation:

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given : ∠1 + ∠2 = 90° ( complementary )

To Find : The value of x & the two angles .

And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .

On adding the two Angles their sum will be 90 ° since they are two complementary angles .

⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .

⇒ 22x + 2° = 90° .

⇒ 22x = (90 - 2)°

⇒ 22x = 88° .

⇒ x = 88°/22 .

x = 4° .

Hence the value of x is 4° .

So ,

First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .

Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.

Answers

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

True or false a function can sometimes be a relation ?

Answers

Answer:

Step-by-step explanation:

True

If using the vertical line test, you can tell whether something is a relation or not. If a vertical line crosses all points once it’s a function if it does not then it’s not a relation.

Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The question provides both the slope m=2 and the y-intercept b=-1.

Thus, substituting:

[tex]\boxed{y=2x-1}[/tex]

What is the area of a circle with a diameter of 8 cm?

256 cm^2
64 cm^2
8 cm^2
16 cm^2

Answers

Answer is 50.24, but it is not given in the option

Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.

Answers

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

15 x 1 = 153 x 5 = 15

Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0

Answers

X = 1/2, -5/6

Mark Brainliest Please!

Which property was used to simplify the expression?

mc005-1
distributive property
commutative property
associative property
inverse property

Answers

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

DUE SOON, Can someone help me with all these angles i dont understand them please and thanks

Answers

Answer:

m1=51

supplementary angles so 180-129=51

m2=34

all triangles add up to 180, we know the other 2 angles we can find m2: 51+95=146, then 180-146=34

m3=95

vertical angle

m4=38

again, all triangles add up to 180, and we know the other 2 angles so we can simply add those together and subtract them from 180: 95+47=142, then 180-142=38

m5=47

vertical angle

m6=76

must find angle 7 first(see below), now you have two angles of the triangle so we do the same thing as m4 and m2: 45+59=104, 180-104=76

m7=59

supplementary angle again so 180-121=59

In which interval is the median?
A sample of 50 students was surveyed about their time
spent in front of a screen (laptop, tablet, phone, etc.).
Each interval contains the left endpoint but not the
right endpoint.
[4,5)
[5,6)
[6,7)
[7,8)
Hours of Screen Time per Day
10
B
Frequency
2
6
8
10 12

Answers

B I think sorry if it’s wrong

Answer:

B is correct! Took the quiz 2021 <3. Yall b safe!

Step-by-step explanation:

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

Macie used 1/8 of a gram of honey to make 1/10 of a cake. How many grams of honey does it take to make one whole cake?

Answers

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

HELP!!! Please I need this soooooooooooo much

Answers

Answer:

I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.

Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...

Answers

Answer: C) 127, 152.4, 182.88, 219.456,...

Step-by-step explanation:

You can only find the sum of an infinite geometric sequence if it converges.

One criterion to see if the series converges is if:

aₙ < aₙ₋₁

This means that, as n increases, the value of the terms decreases.

This means that as n tends to infinity, aₙ tends to zero.

Then we only can find the sum of those series where the terms are decreasing.

in A, B and D the terms are decreasing, then we can find the sum of those 3 series.

Now in the case of C, the terms are increasing, then we can not find the sum of that series.

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