Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.

Find The Area Of The Figure Below, Composed Of A Rectangle With A Semicircle Removed From It. Round To

Answers

Answer 1

The required area of the figure is 100.75 units².

What is area?

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

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Related Questions

what is the most you would pay today for a promise to repay you $6,000 at the end of 6 years if your opportunity is 12%

Answers

Answer:

i need 9it

Step-by-step explanation:

ndbwsjl

If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?

Answers

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

Answer:

$806275

Step-by-step explanation:

type it exactly like that, ap*x

A credit card company offers an annual 2% cash-back rebate on all gasoline
purchases. If a family spent $5,650 on gasoline purchases over the course of a year,
what was the family's rebate (in dollars) at the end of the year?|

Answers

$4,350  x 0.02 = $87

$360  - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

The family's rebate at the end of the year is $113.

What is a rebate?

A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.

Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.

A family spent $5,650 on gasoline purchases over the course of a year.

Now, rebate =2% of 5650

= 2/100 ×5650

= 0.02×5650

= $113

Therefore, the family's rebate at the end of the year is $113.

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What is the measure of <1
1. 80
2. 40
3. 160

Answers

No she pero necesito puntos :3

PLEASE HELP WITH ALL!!!

Answers

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

crecimiento de arboles
un vivero de plantas verdes suele vender cierto arbusto despues de 6 años de crecimiento y cuidado. La velocidad de crecimiento durante esos 6 años es aproximadamente dh/dt = 1.5t + 5, donde t es el tiempo en años y h es la altura en centimetros. Las plantas de semillero miden 12 centimetros de altura cuando se plantan (t=0).
determinar la altura despues de t años
que altura tiene los arbustos cuando se venden

Answers

Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.

La ecuación de la altura es:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Con ella veremos que los arbustos miden 69cm cuando son vendidos.

Veamos como resolver esto.

h(t) es la función que modela la altura de las plantas.

Sabemos que:

[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]

integramos, obtendremos:

[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]

donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:

[tex]h(0) = c[/tex]

Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.

La ecuación de la altura es entonces:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Esta ecuación nos da la altura en centimetros a tiempo t.

Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:

[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]

Es decir, los arbustos miden 69cm cuando son vendidos.

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PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?

Answers

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

18. Dylan's mother tells Dylan he must spend
less time playing electronic games. On
the weekends he spends 9 1/2 hours playing
electronic games. If he plays between 13 and
19 hours each week, how many hours does
he play games on weekdays?


Answers

Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

If I helped you please let me know with a thank you, rating or brainly

<3Miss Hawaii<3

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

6. Bobby makes more money than John

Step-by-step explanation:

John's profits

(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])

= 36.2 x 10^5

= 3.62 x 10^6

Bobby's profits:

323659000 = 3.23659 x 10^8

3.23659 x 10^8 > 3.62 x 10^6

A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples?​

Answers

Answer:

38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left

help pls aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

The correct equation is simply just X=3 :)

Answer:

x=3

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1)

m = (8+4)/(3-3) = 12/0 = UD

x = 3

(5x+4)-3x
Solve.
No scam.​

Answers

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (60,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.

What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

Answers

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

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hello please help me

Answers

Answer:

perimeter is 9+7.5+6=22.5cmwe know that area is(1/2* base *height)

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

giải hộ toi bài tập nó khá khó

Answers

Answer:

hhhhhhhhhhhhhhhhhhhh

100 OOO 000

- 62431556

Answers

Answer:

37568444

hope this helps

Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.

Answers

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answers

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,

a. Identify the independent and dependent variables

Answers

Independent variable: x
Dependent variable: y

There are 133 students at a small school and 23 of them are freshmen. What fraction of the students are freshmen?

Answers

Answer:

23/133

Step-by-step explanation:

If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.

The total number of freshmen in the school is 23/133


The number of students in the small school is 133


23 out of the 133 students are freshmen


Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133


Fraction of freshmen is 23/133


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4.3 1/2* 2 1/2
Simplify

Answers

Answer:

35

Step-by-step explanation:

4.3 1/2 * 2 1/2 = 35/1 =35

If this is wrong i'm sorry

ALGEBRA STUFF IS ANNOYING

Answers

Answer:

A?

Step-by-step explanation:

24. Find the perimeter and area of the triangle below.
базь
2a3b
4ab

Answers

Answer:

Answer to the first part:  8a³b + 4ab

Step-by-step explanation:

Perimeter = distance around the three sides

P = 6a³b + 2a³b + 4ab

P = (6a³b + 2a³b) + 4ab           add like terms

P = 8a³b +4ab                          Simply

The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, By Using Pythagoras theorem to find the base of the triangle as;

a² = 6² - 3²

a ² =  27

a = √27

And, b² = 9² - 3²

b² =  72

b = √72

Hence, Base = √27 + √72

= 13.68

So, We get;

Area = 0.5 x 13.68 x 3

Area = 20.52 cm²  

And, The value of perimeter is,

Perimeter = 9 + 6 + 13.68

= 28.68

Thus, The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

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your test is worth 100 points and theres 44 questions how many points is each question worth

Answers

Answer: ~ 2.27 points per question

Step-by-step explanation:

Want points/question.

So, we do 100 points / 44 questions

~ 2.27 points per question

divide 100 and 44
100/44 = 2.27
so the answer is 2.27 :)

each big square below represents one whole. What percent is represented by the shaded area

Answers

Total: 160, Left:100 Right:60

1.42 as a percentage

Answers

1.42 as a percentage is 142%

Answer:

142%

Step-by-step explanation:

1.42 multiply by 100%? not quite sure

Simplify ( 2+ 6) /4 + 12•3+1 ?

Answers

Answer:

39

Step-by-step explanation:

That is the correct answer

Answer:

39

Step-by-step explanation:

2+6 is 8, 8 divided by 4 is 2. You're equation now is 2+12 x 3+1 Then you do the multiplication first because of PEMDAS, so now the equation is 2+36+1, adding all of those together is 39 :)

Find the measure of the angle with the red dot (NOT X.)
Picture Included. Thank you!

Answers

Step-by-step explanation:

I can't see picture very well but as I see first angle is

-4x+5 and second is -13x+39 ( if it isn't, correct me)

sum of this angles is 180° because they are inner angles

(-4x+5) + (-13x+39) = 180

-4x+5 -13x+39=180

-17x+44=180

-17x = 180-44

-17x= 136

x= -8

angle -4x+5 will be:

-4*-8 + 5= 32+5= 37°

Which of the following equations has both -6−6minus, 6 and 666 as possible values of ccc?
Choose all answers that apply:
(Choice A)
c^2 = 36c
2
=36c, squared, equals, 36

(Choice B)
c^3 = 216c
3
=216c, cubed, equals, 216

(Choice C)
None of the above

Answers

Answer:

It's the Choice A c² = 36

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