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

Craig measured a length as 0.034 millimeters. What is the margin of error? 0.03 mm to 0.04 mm 0.033 mm to 0.034 mm 0.0335 mm to 0.0345 mm 0.0345 mm to 0.0350 mm

Answers

C. 0.0335 mm to 0.0345 mm

Step-by-step explanation:

The least significant digit of Craig's measurement is in the 0.001 mm place. The error in the measurement is presumed to fall within half that value either side of Craig's measurement. So, the actual value is expected to be in the range ...

0.034 - 0.0005 = 0.0335

to

0.034 + 0.0005 = 0.0345

The measurement is presumed to be in the range 0.0335 mm to 0.0345 mm.

Answer:

C

Step-by-step explanation:

cuz...just trust me

20% of all the children in a class are left handed.
4 children are left handed.
How many children are there in the class altogether?

Answers

Answer:

There are 20 students in the class

Step-by-step explanation:

Let the total number of children in the class be = x

from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.

This means that 20% of  x = 4

Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.

Hence, we have

[tex]\frac{20}{100} \times x = 4[/tex]

[tex]x = \frac{4 \times 100}{20}= 20[/tex]

There are 20 children in the class altogether

What is the solution for 3x =9

Answers

The answer to your question is 3

x = 3

Divide each term by  3  and simplify.

42 points to help with math

Answers

I think it’s C I cba to do explanation!

Step-by-step explanation:

first find the nth term

a1 (n-1) d

24 (n-1) 7

24+7n-7= 17+7n

for 500th term: 17+7(500)= 3517

so option B

hope it helps! please mark me brainliest..

thank you!! have a good day

K/4 -5 =23 what does k equal

Answers

Answer:

I think the answer 22.

Step-by-step explanation:

Given the graph that is shown. What is the range of the function??!

Answers

Answer:

[tex]-3\leq x[/tex] < 6

third answer choice

Step-by-step explanation:

can someone help please?

Answers

The first one because it’s the greater number

Kristen used the expression 82 - 22.2-52, what is the
value of it?

Answers

Answer:

the answer to this is 7.8

The function t=f(S) models the time, in hours, for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters. What are the units for f’’(S)?

Answers

Given that,

The function is t = f(S).

To find,

The unit of f''(S).

Solution,

The given function shows the time for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters.

f'(S) will be in hours per Mililiter

And

f''(S) will be in hours per Mililiter per Mililiter. Therefore, this is the required solution.

My brother needs help

Answers

Answer:

1.95

Step-by-step explanation:

i used scientific its a caculator


Divide 405 into the ratio of 3:12

Answers

405 divided by 15= 324 and 324 and 3x27=81 ; answer should be 324

yo plz help I don't understand

Answers

Answer:

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so

                            [tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]

I hope this helps you

PLEASE MARK ME AS BRAINLIEST

Is it A, B, C, or D please help! 9 x to the power of 2 minus 12 x plus 4 = A. 22 B. 49 C. 85 D. 697

Answers

Answer:

B. 49

Step-by-step explanation:

Q; 9x^2 - 12x + 4

I graphed this equation to check A, B, C, and D for a solution and only B had a solution. So, I believe the answer is 49.

7x-6y=9
5x+2y=19 Solve the system using elimination.

Answers

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

compare and contrast rates and ratios

Answers

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

HELPPPP PLEASEEEE!!!!

Answers

Answer:

B.

Step-by-step explanation:

The price of a television is $700 at two different stores. Each store is offering a different promotion. Which deal is the best?

Store A: 15% off sale

Store B: $50 off coupon


Store A

Store B

Answers

Store b if I’m not right I’m sorry
Answer:
Store A
Why:
15%-700=595
50-700=650
Number a have the low number of all.

HELPPPP

Predict the number of sales in month 5.
The store sold fewer blue jeans
after the
new pants became popular.
Enter the correct answer.
7904
3952
1976
988
?

Answers

494 is the correct answer i got it right on edmentum
494
Explanation: the sales are being cut in half every month
Yw. ;)

What is the solution set for the inequality below
-3x + 15 < 18

Answers

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

Colin buys a tv for £780.
It depreciates at a rate of 5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£573.40

Step-by-step explanation:

Amount = cost price - total depreciation

depreciation (1st year ) = 5% of £780

                     = [tex]\frac{5}{100}[/tex] x 780

                     = 0.05 x 780

                     = £39.00

depreciation (2nd year) = 5% of  £741

                                       =  £37.05

depreciation (3rd year) = 5% of 703.95

                                      = £35.1975

depreciation (4th year)  = 5% of 668.7525

                                       = £33.437625

depreciation (5th year) = 5% of 635.314875

                                      = £31.76574375

depreciation (6th year) = 5% of 603.5491313

                                      = £30.17745656

Total depreciation = £39.00 + £37.05 + £35.1975 + £33.437625 +   £31.76574375 + £30.17745656

                               = £206.6283253

Total depreciation = £206.6283253

Therefore,

Amount after 6 years = £780 - £206.6283253

             =  £573.3716747

             =  £573.40

The worth of the TV after 6 years is £573.40.

Answer:

573.37

Step-by-step explanation:

On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?

Answers

Answer:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01

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Answers

Answer:

ok and ty oof

Step-by-step explanation:

what is the answer to -2+2x=?

Answers

Answer:

-2+2x=0

2x=+2

x= 2/2

x=1

a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed ​

Answers

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

What is 2.5 x 10^-5

(the "^" means that the number after is an exponent

Answers

Answer:

0.000025

two point five times ten to the power of negative five

Solve for sss:
-0.2=s+\left(-0.8\right)−0.2=s+(−0.8)

Answers

Answer:

S =0.6

Step-by-step explanation:

-0.2 = s + (-0.8)

-Add 0.8 to each side

horse feed come in weight of 15lbs. to the nearest 3 pounds. what are the minimum and maximum possible weights?​

Answers

I believe the minimum weight would be 12lbs and the maximum would be 18lbs maybe

The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?

Answers

Answer:

1000

Step-by-step explanation:

Find ,giving your answer correct to 3 significant fig where necessary a. 60%of 850

Answers

Answer:

60%of 850

60×850÷100

=510

In Tampa the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year the number of new houses remained the same.  Which graph best illustrates the numbers of houses built over the course of the year? 1l​

Answers

Answer:

D or C I believe

Step-by-step explanation:

it says it was going down and then it stayed the same, but what confuses me is that the bottom says "month" so I cant tell now if its an error or its telling us it is still going down during the month year (C) so yeah good luck :,)

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