1 A, B and C are points on a circle with centre O.
8 cm A-B

15 cm B-C

B
AOC is a diameter of the circle.
AB= 8 cm
BC= 15 cm
Angle ABC = 90°
Work out the total area of the regions shown shaded in the diagram.
Give your answer correct to 3 significant figures.
Diagram NOT
accurately drawn

Answers

Answer 1

The total area of the shaded region is solved to be 154.93 cm²

How to find the total area of the shaded region

The diameter is solved using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 8² + 15²

x² = 289

x = √289

x = 17

Work out the area of the triangle using the formula

= 1/2 *  base * height

base = hypotenuse or diameter

height = radius = diameter/2

= 0.5 * 17 * 8.5

= 72.25 cm²

Area of the circle

= Π * radius²

= 22/7 * 8.5²

= 226.98 cm²

shaded portion

= Area of the circle - area of the triangle

= 226.98 - 72.25

= 154.93 cm²

the area of the shaded portion is 154.93 cm²

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1 A, B And C Are Points On A Circle With Centre O.8 Cm A-B15 Cm B-CBAOC Is A Diameter Of The Circle.AB=

Related Questions

The registration fee for a used car is 0.6​% of the sale price of ​$6,300. How much is the​ fee?

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Answer: 37.80

Step-by-step explanation:

Which system of equations can be represented by this matrix?

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Answer:

answer is c

Step-by-step explanation:

I learned matrix

find an equation of the tangent line to the graph of y = e−x2 at the point 2, 1 e4 .

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i am so glad to see that you 12

Expand (1 + √2)(3-√2) ​

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Answer: 1⋅3+1(−√2)+√2⋅3+√2(−√2)

Step-by-step explanation:

The number 651 is what percent of 700?

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Answer:

93%

Step-by-step explanation:

651/700

Answer: 93%

Step-by-step explanation:= (

(651 × 100/700) × 1/100 = 93/100

PLSSS HELP ASAP 30PTS
Consider parallelogram ABCD with vertices A(-6, 6), B(0, 10), C(2,4), and D(-4, 0). Classify the parallelogram and select ALL that apply.
MORE THAN ONE POSSIBLE ANSWER

Answers

The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

Given that,

Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4) and D(-4,0).

We have to find the parallelogram is square, rectangle, rhombus and none of the above.

We know that,

In the attached figure, which shows the number of grid squares for each side, we can see that one side is the diagonal of a 23 rectangle and the other side is the diagonal of a 13 rectangle. This reveals two things to you: The sides are not at perfect angles to one another and are of varied lengths. The slopes of the segments would be opposing reciprocals (if the sides were perpendicular).

Therefore, The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

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what is one plus 59 plus 666662

Answers

Answer:

66,726

Step-by-step explanation:

Answer:

666,722

Step-by-step explanation:

1 + 59 + 666,662

= 60 + 666,662

= 666,722

i hope this helped

Select all of the equations below that are equivalent to:
17 - k = 52
Use properties of equality.

Answers

Answer:

there are no equations below...

Step-by-step explanation:

Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

AGDB

Step-by-step explanation:

Pair 1: Alternate interior

Pair 2: Alternate exterior

Pair 3: Same-side interior

Pair 4: Same-side exterior

The sides of a triangle are 10 cm, 8 cm, and 10 cm. Classify the triangle.

Answers

If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In the given triangle, the sides of a triangle are 10 cm, 8 cm, and 10 cm.

In the triangle, the two sides of the triangle are congruent.

If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

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Which is a survey?

a study that collects data on every subject in a sample
the data collected from a population
the questions used for a sample
the questions used for a population

Answers

Answer:
A study that collects data on every subject in a sample
Hope this helps!

how do i find the answer

Answers

The value of the angles of the given quadrilateral are;

8) ∠X = 124° = ∠W

∠Y = 56° = ∠Z

9) ∠J = 44° = ∠K

∠L = 136° = ∠M

How to find the angles of a quadrilateral?

The sum of angles of a quadrilateral is equal to 180 degrees. Now, in the quadrilateral given, the two angles on the slant side always equal 180 degrees. Thus;

8) From the given trapezium, we can use the definition above to say that;

∠X + ∠Y = 180°

Thus;

(13x - 7)° + (8x - 2)° = 180°

21x - 9 = 180

21x = 189

x = 189/21

x = 9

Thus;

∠X = (13(9) - 7)°

∠X = 124° = ∠W

∠Y = 180° - 124°

∠Y = 56° = ∠Z

9) From the above, we can apply the same to this quadrilateral to get;

7x + 2 + 25x - 14 = 180

32x - 12 = 180

32x = 180 + 12

32x = 192

x = 192/32

x = 6

∠J = (7(6) + 2)

∠J = 44° = ∠K

∠L = 180 - 44

∠L = 136° = ∠M

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You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.

Answers

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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Sharon started with $42 in her bank account and
added $16 per week. Neil started out $70 in debt and deposited $30 per week. Determine how many weeks it will take them to have saved the same amount of money.

Answers

Answer:

8 weeks

Step-by-step explanation:

The two equations I got from this are y=16x+42 and y=-70+30x

I graphed both equations online to see what the intersection would be the intersection between both equations is (8,170). I think that this means that in 8 weeks they would both be at 170 dollars, so I think that it will take them 8 weeks to have the same amount of money saved

(if wrong, im sorry..)

The number of weeks it will take them to have saved the same amount of money will be 8.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Sharon began with $42 in her financial balance and added $16 each week. Neil began $70 underwater and kept $30 each week.

Let 'x' be the number of weeks and 'y' be the total amount. Then the equations are given as,

y = 16x + 42              ...1

y = 30x - 70             ...2

From equations 1 and 2, then we have

30x - 70 = 16x + 42

14x = 112

x = 8

The number of weeks it will take them to have saved a similar measure of cash will be 8.

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Complete the equation describing how
x and y are related.

Answers

Answer: y = 1x+4

the related between the x and y is x plus one and y plus 4

Step-by-step explanation:

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers. x + (x + 1) + (x + 2) = 42 x + (x + 2) + (x + 4) = 42 (x minus 1) + x + (x + 1) = 42 (x minus 2) + x + (x + 2) = 42 x + 2 x + 3 x = 42

Answers

The two equations that can represent the relationship is

i. x +( x+1) + (x+2) = 42 and

Ii. (x-1) +x + (x+1) = 42 ( option A and C)

What are consecutive integers?

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

For example, 4,5,6,7 are consecutive integers. This means that the difference between two consecutive numbers is 1.

If the first number is x, then the second number is (x+1 ) and the third number is (x+3)

The sum of the three number is x +( x+1) + (x+2) = 42

if the second number is x, then the first number is (x-1) and the third number is x+1

Therefore the sum of the three numbers can also be written as (x-1) +x + (x+1) = 42

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-3x²+x+ 5 = 0
A.-3+ 24
6
B.-5+√8
2
C.-1+√61
-6
D. 3+√12
10
K

Answers

Answer:

c is your answer

Step-by-step explanation:

x = 1 +_ √61/6

-1 1/6 divided by 1/4=
Pls help me

Answers

Answer:

-14/3 or -4.67

Step-by-step explanation:

division.

The answer is -22/3 hope this helps

A concrete drain is 10m long, with an outside diameter of 1m and an inside diameter of 0.8m. Determine the volume of the concrete required to make the drain, to the nearest tenth of a cubic metre

Answers

Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.

So the volume of the outside cylinder is:

V = π * 0.5^2 * 10 = 15.7 m^3

and the volume of the inside cylinder is:

V = π * 0.4^2 * 10 = 12.6 m^3

To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:

15.7 m^3 - 12.6 m^3 = 3.1 m^3

So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.

Is the line through points P(8, 4) and Q(6, –1) parallel to the line through points R(1, –4) and S(4, 5)? Explain.

Answers

Answer:

No, the lines are not parallel

Step-by-step explanation:

They are not parallel because the slopes of the lines are not equal.

I WILL GIVE BRAINLIEST TO THE CORRECT PERSON AFTER 2 PEOPLE ANSWERRRR

Answers

Answer:

x=42

Step-by-step explanation:

Figure A has been scaled by 2/7, so we know that[tex]x * 2/7 = 12.[/tex] Multiplying both sides by 7 gives us [tex]2x = 84[/tex]. Dividing both sides by 2 gives us that x = 42. This is our answer.

Answer: 42

Step-by-step explanation:

2/7x=12

x = 12 * 7/2

x=84/2

x=42

Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...

Answers

The nth term of the given quadratic sequence is 2n².

What is quadratic sequence?

The ordered sets of numbers known as quadratic sequences are based on the rule n^2 = 1, 4, 9, 16, 25,.... (the square numbers). Every quadratic sequence has a n^2 term.

Consider, the given quadratic sequence

2, 8, 18, 32, 50, ...

we have to find nth term of this quadratic sequence ; 2 , 8 , 18 , 32, 50, ...

To find the nth term, we have to find the relation between the given terms.

here we see,

1st term = 2 = 2 × 1 × 1 = 2 × 1²

2nd term = 8 = 2 × 2 × 2 = 2 × 2²

3rd term = 18 = 2 × 3 × 3 = 2 × 3²

4th term = 32 = 2 × 4 × 4 = 2 × 4²

similarly 5th term = 2 × 5² = 2 × 25 = 100

...........

so nth term = 2 × n² = 2n²

Hence, the nth term of the given quadratic sequence is 2n².

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A regular polygon has its exterior angles all equal to 5⁰ Find the number of sides of the polygon.​

Answers

calculate the size of the exterior and interior angles of all the different polygon.

Show how u got all the answers
Solve for y

1. -2y + 7 = -5


Solve for x



2. -3(x + 5 = -9




3. X+(/2.5= -7.79

Solve for n


4. 3.33 + 2n = -7

Answers

Answer: 1. y = 6

2. x = -2

3. X = -10.29

4. n = -5.165

Step-by-step explanation:

1. -2y + 7 = -5

-2y + 7 - 7 = -5 - 7

-2y = -12

y = 6

2.-3(x + 5) = -9

3(x+5) = 9

x+5 = 3

x = 3 - 5

x = -2

3. X+2.5= -7.79

X= -7.79 - 2.50

X = -10.29

4. 3.33 + 2n = -7

3.33 - 3.33 + 2n = -7 - 3.33

2n = -10.33

n = -5.165

Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)

Answers

The midpoint of the segment given (5,5) and (1,1) is (3, 3).

What is midpoint?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].

The midpoint of the line segment with endpoints (5,5) and (1,1)

= [ ( 5 + (1))/2 , ((5) + 1)/2 ]

= [ (6)/2 , 6/2 ]

= [ 3, 3

Therefore, the midpoint of the line segment with endpoints is (3, 3).

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Brainliest + ten points to first correct answer! word problem

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answers

Answer:

The second company should get the contract.

Question

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.

Reason

Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.

The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.

The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.

The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.

Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

The first company will charge $120,000 per mile for the resurfacing project, and will guarantee the work for 8 years. The second company will charge $150,000 per mile for the project, and will guarantee the work for 12 years.

To determine the price per mile per year for each company, we need to divide the total price by the number of years. For the first company, this would be $120,000 / 8 = $15,000 per mile per year. For the second company, it would be $150,000 / 12 = $12,500 per mile per year.

Based on these calculations, the second company offers the least expensive price per mile per year, at $12,500 per mile per year. Therefore, the project manager should choose the second company to receive the contract.

50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.

Answers

Angle A = 40 degrees

Angle C = 70 degrees

Side AC = 12 cm

2X-Y=4
x=4-y
please explain each step

Answers

Step-by-step explanation:

2X-Y=4 ---------(1)

x=4-y---------(2)

since x = 4 – y just substitute for eqn 1

2(4–y) – y = 4

8 – 2y –y=4

8 –3y = 4

–3y=4–8

–3y=–4

y=–4/–3

y= 4/3

since y = 4/3 just substitute for y in eqn (2)

x=4–4/3

multiply both sides by 3

3x=12–4

3x=8

x=8/3 or 2 2/3

Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x-bar = 0.82407, s = 0.00567. Use a confidence level of 95% to complete parts (a) through (d) below.

A) Identify the critical value t a/2 used for finding the margin of error.
T a/2 =

B) Find the margin of error

Answers

The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.

The margin of error exists 0.07728.

What is meant by margin of error?

A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.

A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.

Given : n = 36

x-bar = 0.82407

s = 0.00567

Confidence level 95%

The 2 - critical Valve = 2.03

A) Let the equation be

[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}[/tex]

substitute the values in the above equation, we get

[tex]$\Rightarrow \sqrt{\frac{(0.82412)(1-0.82412)}{100}}$$[/tex]

S E  = 0.03807

B) Margin of error = (0.03807)(2 × [tex]I_2[/tex])

Margin of error = 0.07728

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can you solve please

Answers

I believe y is either 7 or close to that number because it is quite clear that both of the sides are not equal but at the same time there isn’t a huge difference, if you want to be sure just use a ruler instead
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