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fgiga [73]
4 years ago
5

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of

π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Mathematics
1 answer:
Finger [1]4 years ago
7 0

Answer:

Area of shaded part = 41.09733550

Perimeter of shaded part = 35.82011867

Step-by-step explanation:

Area of shaded part =  ((πr^2)   4) - (bh ÷ 2)

Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)

Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)

Area of shaded part = (113.0973355) - (72)

Area of shaded part = 41.09733550

Perimeter of shadedpart:

AC = √a^2 + b^2

AC = √12^2 + 12^2

AC = √144 + 144

AC = √288

AC = 16.97056275

Perimeter of whole circle ÷ 4:

C=2πr

C=2π(12)

C=75.39822369

C ÷ 4 = 75.39822369 ÷ 4

C ÷ 4 = 18.84955592

<em>Perimeter of shaded part: </em>

18.84955592 + 16.97056275 = 35.82011867

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algol [13]
2nd, 4th, and 5th answers are correct
8 0
3 years ago
Answer fast its sue by end of class
shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c  = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c  + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h =  4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h =  4.75h - 2.75h

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divide both sides by 2:

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6 0
1 year ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
Vusi makes bead bracelets in different designs. The first design uses 23 beads, the second design uses 29 beads and the third de
sergey [27]

When the remainder theorem is applied to the total number of beads, the number of beads left is 3

<h3>What is remainder theorem?</h3>

The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another

The number of beads used in each design are given as:

First = 23

Second = 29

Third = 31

Calculate the total number of beads used for all three designs

Total =First + Second + Third

Total =23 + 29 + 31

Total =83

The number of available beads is:

Available = 750

Divide 750 by 83, to get the total number of designs

n = \frac{750}{83}

n =9.03

Remove decimal (do not approximate)

n = 9

The number of beads remaining is calculated using:

Remaining =Available -n \times Total

Remaining =750 -9 \times 83

Remaining =3

Hence, there are 3 beads remaining

Read more about remainder theorem at:

brainly.com/question/13328536

7 0
3 years ago
Which of the following does NOT show an identity property?
DerKrebs [107]
2+1=3 is not an identity property. The rest are because the value equals itself after dividing, subtracting, and multiplying.
6 0
3 years ago
Read 2 more answers
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