A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.

Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.

A, B And C Are Points On A Circle With AC As A Diameter.ABC Is A Right-angled Triangle.Work Out The Total

Answers

Answer 1

Answer:

Area of the shaded portion = 54.5 cm²

Step-by-step explanation:

Solve first for the area of the circle:

[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]

Then, compute for the area of the triangle:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]

Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle

[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]


Related Questions

Help!,!!,,!,! Show ur work

Answers

Answer:

2/5+1/10

Step-by-step explanation:

2/5 ×2/2= 4/10

4/10+1/10=

5/10=1/2

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the​ flag's width and length if the length is 290 ft greater than the width.

Answers

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

l=710

The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
2
4
B
A
5

Answers

Answer:

[tex]2abcosC = 37[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Required

[tex]2abcosC[/tex]

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Add [tex]2abcosC[/tex] to both sides

[tex]a^2 + b^2 - 2abcosC+2abcosC = c^2+2abcosC[/tex]

[tex]a^2 + b^2 = c^2+2abcosC[/tex]

Subtract [tex]c^2[/tex] from both sides

[tex]a^2 + b^2 -c^2= c^2 -c^2+2abcosC[/tex]

[tex]a^2 + b^2 -c^2= 2abcosC[/tex]

From the attachment:

[tex]a = 4[/tex] [tex]b = 5[/tex] and [tex]c = 2[/tex]

So, we have:

[tex]4^2 + 5^2 -2^2= 2abcosC[/tex]

[tex]16 + 25 -4= 2abcosC[/tex]

[tex]37= 2abcosC[/tex]

i.e.

[tex]2abcosC = 37[/tex]

Answer:

A. 37

Step-by-step explanation:

I low key need halp. Very soon, please send halp. :>

Answers

Each flower arrangement will have 5 lillies and 13 roses
Not sure but maybe, 6(5l + 13r)

The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answers

Answer:

6

Step-by-step explanation:

Answer:

(x+1)^2+7

Step-by-step explanation:

khan academy

A pair of pants that Jessica wants are usually $39. If the store is having a 33% off sale, how much will the pants cost

Answers

Answer: $12.87

Step-by-step explanation:

You need to set up your equation. We are trying to find x.

Step 1:  [tex]\frac{x}{39} = \frac{33}{100}[/tex]

Step 2: Multiply across: 39 x 33 divided by 100.

39 x 33 = 1287

1287 divided by 100 = $12.87

Answer: $12.87

sont answer if u don't have a answer ​

Answers

Answer:

no association because there is no specific pattern

No association hope this helps!

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

can i please get some help on this?

Answers

what is it? show us the problem

Answer:

Bro? wheres the question ?

Question 4 (1 point) What is the range of this set of data: 10, 11, 12, 12, 15, 19, 20, 21, and 22

22

16

12

10​

Answers

Answer:

12

Step-by-step explanation:

Marta put $4.89 in her coin bank. Each day she added 1 quarter, 1 nickel, and 6 pennies. How much does she add each day? How much money was in her coin bank after 6 days?

Answers

Step-by-step explanation:

Marta put $4.89 in her coin bank.

Each day she added 1 quarter, 1 nickel, and 6 pennies.

We know that,

1 quarter = 25 cents

1 nickel = 5 cents

1 penny = 1 cent

⇒ 6 pennies = 6 cent

Total amount added in 6 days,

= 25 cents + 5 cents + 6 cent

= 36 cents

We know that,

1$ = 100 cents

36 cents = $0.36

Total money in her bank,

= $4.89 + $0.36

= $5.25

Hence, this is the required solution.

Out of 80 students, 26 are bus riders. What percent of students ride the bus?

Answers

Answer:

32.5%

Step-by-step explanation:

26/80*100

0.325*100

32.5%

Hope this helps. Have a nice day you amazing bean child.

Which expression is equivalent to 3x - (2x + 4) + 5?
X + 9
x + 1
5x + 9
5x + 1

Answers

Answer:

x plus 1

Step-by-step explanation:

Answer:

x+1

Step-by-step explanation:

if you simplify the equation, you will get x+1

first, you take the parentheses away.  The equation becomes

3x-2x-4+5

then you combine like terms

x+1

Please Answer

Simplify each radical

Answers

the first one is 25^5( i can’t get access to the radical symbol sorry) and the second one is 14^3

Which of the following equations have infinitely many solutions?

Answers

Answer:

A

Step-by-step explanation:

The only one with nothing else in front of the X, which means you can't divide, which means it stays the same.

Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Orlando was ​$250. Now the cost is ​$325. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

The tickets price will be 126

Answer:

Step-by-step explanation:

It will be 129

is 6z-2z+4=4+2z+6z equivalent

Answers

Answer:

Step-by-step explanation:

0

Answer:

Yes

Step-by-step explanation:

Lol

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

Answers

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

Find the value of x, use image

Answers

Answer:

x = 168

Step-by-step explanation:

A hexagon's total interior angles sums up to be 720, so what you have to do is just subtract.

x = 720-(84+128+150+103+87)

x = 168

Angle EFG has a measure of 133º. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'F'G'.

what is the measure of angle E’F’G

Answers

Answer:[tex]313^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle {EFG}=133^{\circ }[/tex]

When rotated 180 degree clockwise gives E'F'G' which measures

[tex]\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}[/tex]

This can be explained by the below-given digram  

Rotation is a rigid transformation.

The measure of angle E'F'G' is 133 degrees

Because rotation is a rigid transformation, it does not change the side lengths and the angle measures.

This means that the measure of angle EFG will remain unchanged after rotation.

i.e.

[tex]\mathbf{\angle E'F'G' = \angle EFG}[/tex]

Hence, the measure of angle E'F'G' is 133 degrees

Read more about rotation at:

https://brainly.com/question/1571997

I need help with homework​

Answers

Answer:

C

Step-by-step explanation:

Point C is on the x-axis.

Answer:

c

Step-by-step explanation:

the x axis is labeled

x axis is always horizontal (think the horizon)

y axis is always vertical

The formula for s is The perimeter of a regular octagon is p and the length of a side is s. s = p ÷ 8 Find the length of a side when the perimeter is 72 cm. cm Write down a formula for p in terms of s. p = Write down a formula for the perimeter of this regular shape. p = Find p when s is 9 cm. cm

Answers

Answer:

s = 9 cm

p = 8s

p = 72 cm

Step-by-step explanation:

s = p ÷ 8

Where,

s = length of a side

p = perimeter of a regular octagon

find s when p = 72 cm

s = p ÷ 8

= 72 cm ÷ 8

= 9 cm

s = 9 cm

Formula for p in terms of a

s = p ÷ 8

Equivalent to

s = p/8

Cross product

s * 8 = p

p = 8s

Find p when s = 9 cm

p = 8s

p = 8 * 9 cm

= 72 cm

p = 72 cm

Find the value of x. ​

Answers

Answer:

x = 12

Step-by-step explanation:

Please Help If You Know The Answer! :) Which expression is equivalent to 8-(6r+2)?
A. -6r+6
B. 2r+2
C. 6r+10
D. -6r+10

Answers

Answer:

d

Step-by-step explanation:

take out of parenthesis so its 8-6r+2 and the 8 and to to get 10 and the -6r stays the same

Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52

Answers

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

hiii please help asap ill give brainliest if you give a correct answer tyyyyy

Answers

Answer:

Part A: 1.2 minutes

Part B: 0.83

Part C: 25.2

Answer:

a. 1.2 minutes

b. one lap per 1.2 minutes

c. 25.20 minutes

Step-by-step explanation:

a. do 6 mins/5 laps which gives you 1.2, so 1.2 minutes or 1 minute and 20 seconds

b. uh one lap per 1.2 minutes

c. 25.2 minutes which is approx. 25 minutes and 20 seconds. I reallly hope this helps!

Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3

Answers

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Carlotta has a blue sweater, a red sweater, a pink sweater, and a white sweater. She also has a pair of black pants
and a pair of brown pants. Which of the following shows how many different ways she can wear a sweater and pair of
pants together?


!!!!!!WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

The answer is D.

Step-by-step explanation:

The answer is c I think

You have three $1-bills, two $5-bills, and a $20-bill in your pocket
If you choose two bills without replacing the first bill you pick out,
what is the P ($1 and $20)

Answers

I have never seen two pretty

Can someone also help me with this one?

Answers

Answer:

120

Step-by-step explanation:

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