The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

The Following Three Shapes Are Based Only On Squares, Semicircles, And Quarter Circles. Find The Perimeter

Answers

Answer 1

Answer:

Step-by-step explanation:

The total shaded area = area of the square - area of a circle

= 9^2 - π * 4.5^2

= 17.3827

The 2 shaded parts both have area 8.69 unit^2 ( to nearest hundred)

Perimeter:

The perimeter of the top shaded part

= AB + 1/2 circmference of the circle

= 9 + 1/2 * 2 π r

= 9 + 14.137

= 23.14 units ( to nearest hundredth)

The bottom part has the same perimeter.

Answer 2

Answer:

area: 17.38 cm²perimeter: 46.27 cm

Step-by-step explanation:

You want the perimeter and area of the part of a 9 cm square remaining after a semicircle is removed from two opposite sides.

Area

The shaded area is the area of the 9 cm square less the area of a 9 cm circle. That area is ...

  A = s² -  π(s/2)² = s²(1 -π/4) . . . . . where s is the side length of the square

  A = (9 cm)²(1 -π/4) ≈ 17.38 cm²

The area is about 17.38 cm².

Perimeter

The perimeter is the circumference of the circle plus two sides of the square.

  P = C +2s

  P = πs +2s = s(π+2)

  P = (9 cm)(π+2) ≈ 46.27 cm

The perimeter is about 46.27 cm.

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The Following Three Shapes Are Based Only On Squares, Semicircles, And Quarter Circles. Find The Perimeter

Related Questions

What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3

Answers

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

bagles come in bags of eight. how many bagles are in 2 3/4 bags?

Answers

The answer is 22 because you multiple 8 by 2 3/4

How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)

Numerical Answers Expected!

Answer for Blank 1:
6

Answers

Answer:

there are three variable terms

PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.

Answers

The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.

How to calculate the expression?

From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.

Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.

Learn more about expression on:

https://brainly.com/question/723406

Answer:

The answer to a is 4.5, and the answer to b is 3.

Step-by-step explanation:

The averages are found as shown:

4+5=9

9/2=4.5

2+4=6

6/2=3

To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.

Example:

5+7+9=21

21/3=7

A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations

Answers

= 70% of the flowers are carnations

How do you find the probability of an outcome?

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]

[tex]=\frac{2}{5} +\frac{3}{10}[/tex]

[tex]= \frac{4 + 3}{10}[/tex]

[tex]=\frac{7}{10}[/tex]

covert into percent

[tex]=\frac{7}{10} 100[/tex]

= 70%

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#SPJ2

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answers

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

2^2 + x^2 = 4^2
4 + x^2 = 16
-4 -4
√ X^2 = √ 12
X = √ 4 and √ 3
X = 2 √ 3
X = 3.46

PLEASE HELP
How do I find the periods??

Answers

Answer:

look for where the graph intertacts.

Step-by-step explanation:

100 POINTS!!!!!!!! WILL GIVE BRAINLIEST ASAP!!!!!!!!!

How can x2 = 2x + 4 be set up as a system of equations? (1 point) y = x2 − 2x + 4 y = x2 + 2x + 4 y = x2 y = x2 + 2x + 4 y = x2 + 2x y = x2 + 4 y = x2 y = 2x + 4

Answers

Answer:

x=3 and y=4

Step-by-step explanation:

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=4

How do I graph h(x) = 4|x+4| +3

Answers

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.

Answers

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

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

r=8Angle=π/2

Arc length

L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6units

solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve

Answers

I think it’s if you add 80 with 76 u will get 156

The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.



How many times did the family eat at restaurants in a year?



20% amys place
10% pizza hut
10% taco bell
27 times adams house

Answers

Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

Scaling factors! Help!

Answers

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

A store pays $75 for a phone. The customer pays $112.50 for the phone. What percent mark up was put on the phone?

Answers

Answer:

50% markup

Step-by-step explanation:

112.5-75=37.5

Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5

37.5 is HALF of 75, so it was a 50% markup

Answer:

50% increase

Step-by-step explanation:

Firstly, I would do 112.50 - 75 = 37.5

This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.

Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.

Hope this makes sense! If you have any further questions, let me know.

- profparis

Help which one is propotional? ​

Answers

Answer: C

Step-by-step explanation: Because that table is showing (x - y)

Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)

Answers

Answer:

p=9

t20=516

Step-by-step explanation:

a

4p-60=2p-6-2p

6p=54

p=9

b

a=60.. d=24

t20=a+19d

=60+19×24

=516

c

Sn=12.5+12.3+12.1

=12n(6-n)

A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?

Answers

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

Compound Interest

Given Data

Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

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Simplify the expression.
3.1z + 2.1z

(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the​ expression.)

Answers

Answer:

5.2z

Step-by-step explanation:

When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.

3.1 + 2.1 = 5.2

So 3.1z + 2.1z = 5.2z

which of the following best describes a tessellation

Answers

Answer:

A

Step-by-step explanation:

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps

Hope this helps!

I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?

Answers

A river, rivers have beds, have a part called mouths, and considered to run

Answer:

A river

Explanation;

A river has a "bed," they have a "mouth," and they "run."

Joe was paid $216 for 16 hours of work. How much was he paid per hour

Answers

Answer:

13.5 dollars per hour

Step-by-step explanation:

216 divided by 16 is 13.5

Answer:

13.5

Step-by-step explanation:

All you have to do is divide $216 by 16

I dont like math it is really really hard

Answers

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

on a number line show all the values of X that have an absolute value less than three

Answers

Answer:

x can equal 2, 1, 0, -1, -2.  A line graph is shown below.

Step-by-step explanation:

The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do  :  2, 1, 0, -1, -2.

x can equal 2, 1, 0, -1, -2.

Find the area of this figure

Answers

Answer:

Step-by-step explanation:

4 * 9 + 2* 9 + 1/2*6 * 3

= 36 + 18 + 9

= 63 in^2

multiply 2 5/8 times - 2 3/5 what is the answer

Answers

Step 1: Change the Mixed Numbers into Improper Fractions

---To do so, multiply the number by the denominator and add that product to the numerator.

2 x 8 = 16 + 5 = 21

21 / 8

2 x 5 = 10 + 3 = 13

13 / 5

Step 2: Multiply the Improper Fractions

---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).

21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40

Step 3: Simplify

---Change the improper fraction back into a mixed number a simplify if necessary.

40 x 6 = 240

273 - 240 = 33

6 33/40

Answer: 6 33/40

Hope this helps!

Solve the inequality below: (Remember to use x < or >or< or > ) and then choose the solution set on the number line below.-4x-5<-25 Part A SOlve the inequality

Answers

Answer:

{x : x > 5}

Step-by-step explanation:

-4x - 5 < -25

-4x < -20

When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.

x > -20/-4

x > 5

Hence, the solution set is {x : x > 5}.

a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

Answers

Answer:

As per Provided Information

Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]

On substituting the value we obtain

[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]

Therefore,

Length of the rectangle is 6 inches .

Unit 6: Radical Functions

Homework 3: Add/Subtract/Multiply Radicals
Show your work!

4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]

5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]

6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]

7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

4.

[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]

5.

15√2 * -2√20-30√40-30*2√10-60√10

6.

4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]

7.

[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2

I need help for this question real quick. Please help if you can

Answers

Answer:

Exact area = 272 - 28.125pi  square cm

Approximate area = 183.6875 square cm  (when using pi = 3.14)

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

Explanation:

The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.

You could also use this trapezium area formula

A = h*(b1+b2)/2

A = 24*(25+15)/2

A = 480

Whichever method you use, the trapezium has an area of exactly 480 square cm.

--------------------------------------

The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm

The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.

The parallelogram and semicircle areas add to 208+28.125pi

---------------------------------------

Subtract this from the area of the trapezium to wrap things up

480 - (208+28.125pi)

480 - 208 - 28.125pi

272 - 28.125pi

This is the exact area of the blue shaded region in terms of pi

To get the approximate area, replace pi with something like 3.14 and compute.

So 272 - 28.125pi = 272 - 28.125(3.14) =  183.6875 is the approximate area when pi = 3.14

Use more decimal digits of pi to get a more accurate value.

Alondra wrote the following incomplete statement

4.3 < 4 ___

Which of the following strategies could Alondra use to help her complete the statement? Answer all that apply

Answers

Answer:

4.3< 4.1

Step-by-step explanation:

its 4.1 because 4 is the same and three is greater than one

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