Diagram NOT
accurately drown
28
A, B and Care points on a circle, centre 0
Angle ABC = 389
Work out the size of angle OAC
Give a reason for each stage of your working

Diagram NOTaccurately Drown28A, B And Care Points On A Circle, Centre 0Angle ABC = 389Work Out The Size

Answers

Answer 1

Answer:

m(∠OAC) = 52°

Step-by-step explanation:

A, B and C are the pints on a circle with center O.

m(∠ABC) = 38°

By the central angle theorem,

"Central angle subtended by two points on a circle measure the twice of the inscribed angle subtended by these points."

m(∠AOC) = 2m(∠ABC)

m(∠AOC) = 2 × 38° = 76°

Now in ΔAOC,

AO and OC are the radii, so the angles opposite to radii will measure the same.

∠OAC ≅ ∠OCA

Since, sum of all the interior angles of a triangle is 180°.

m(∠OAC) + m(∠OCA) + m(∠AOC) = 180°

m(∠OAC) + m(∠OAC) + 76° = 180°

2m(∠OAC) = 180° - 76°

2m(∠OAC) = 104°

m(∠OAC) = 52°


Related Questions

May i get an answer? for 10 points

Answers

Answer:

[tex]= 452.38 {cm}^{2} \\ \\ [/tex]

Step-by-step explanation:

[tex]area = 4\pi {r}^{2} \\ = 4 \times \pi \times 6 \times 6 \\ = 452.38 {cm}^{2}

[/tex]

Step-by-step explanation:

given,

radius = 6cm

area =4× pi ×r^2

so, area=4×22/7×6^2

therefore the area of sphere is 452.5714cm^2.

hope its what you are searching for..

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A'B'CD. The length of AB is
5.6 units, and the length of A' B' is 2.24 units.
The value of the scale factor is
Write your answer as a decimal number to two decimal places.

Answers

Answer:

2.5

Step-by-step explanation:

plato

The required value of the scale factor is 2.50 in the given dilation.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

We have been given that a Polygon ABCD is dilated by a certain scale factor with the origin as the center of the dilation to form the image A'B'CD.

The length of AB = 5.6 units, and

The length of A' B' = 2.24 units.

We have to determine the value of the scale factor.

As we know scale factor is the ratio of sides in the original image and the image after dilation.

The scale factor = length of AB/length of A' B'

The scale factor = 5.6/2.24

The scale factor = 2.50

Therefore, the required value of the scale factor is 2.50.

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Classify the following triangle. Check all that apply.
450
11.3
-8
145
8
A. Obtuse
B. Right
O C. Isosceles
D. Acute
E. Scalene
O F. Equilateral

Answers

Answer:

B and C

Step-by-step explanation:

B. You can tell because of the right angle

C.It has two sides that are equal

The triangle is classified below.

B. Right

C. Isosceles

What is an isosceles triangle?

In geometry, an isosceles triangle is a triangle that has two aspects of identical duration. Every so often it is specified as having exactly two facets of identical period, and once in a while as having at the least two aspects of equal duration, the latter version as a consequence consisting of the equilateral triangle as a special case.

What is a right triangle?

A right triangle or right-angled triangle, or greater officially an orthogonal triangle, previously known as a rectangled triangle, is a triangle wherein one attitude is a right angle or two aspects are perpendicular.

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I’ve done a I just need help with b and c

Answers

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Find the slope of the line on the graph.

Answers

Answer:

m = -3/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the formula:

(0, 1) y-int

(4, -2) random

m = (-2 - 1)/(4 - 0)

m = -3/4

Answer: 3/4

Explanation:

rise/run = 3/4

Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°

Answers

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)

Answers

Answer:

C.) (6, -2)

Hope this help!

Answer:c(6,-2)vis your answer

Step-by-step explanation: The guy above me is right

A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?

Answers

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,YOU MUST SHOW A PICTURE AND EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the premeter)

Answers

Answer:

To find the perimeter of a shape we need to add its side lengths. Therefore the answer is 22.5 + 8 + 16 + 8 = 54.5 ft.

which side of the quadrilateral abcd
has a length equal to 10?​

Answers

Answer:

AD

Step-by-step explanation:

You must measure the difference between A and D. To get to this answer you should try all available combinations.

for each graph state whether it’s a function

Answers

Answer:

Graph  1, 4, 6 are functions.

Graph  2, 3, 5 are not functions.

Step-by-step explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph  1, 4, 6 pass the vertical line test, so they represent functions.

Graph  2, 3, 5 does not pass the vertical line test, so they are not functions.

A meeting is held with eight people around a circular table. Two of the participants, April and May, want to sit so that there is exactly one other person between them. How many different seatings are possible? (Two seatings are considered the same if one can be rotated to obtain the other.)

Answers

Answer:

6

Step-by-step explanation:

I = Person

April I May I I I I I

I April I May I I I I

I I April I May I I I

I I I April I May I I

I I I I April I May I

I I I I I April I May

Each situation will always have 1 person between them and there will always be 8 people.

If there are 7 frankfurters to the pound, how
many pounds of frankfurters are needed for a
picnic to supply 19 pupils with 2 frankfurters
each?​

Answers

Answer:

6lbs

Step-by-step explanation:

Total # of Frankfurters needed.

[tex]19*2=38[/tex]

Divide the total needed by the amount in a lb, to find out how many lbs we need.

[tex]\frac{38}{7}=5.4[/tex]

Therefore, we need 6 full lbs in order to create at least 38 Frankfurters.

If we only have 5lbs, we can only create 35 Frankfurters.

5.4 pounds of frankfurters are needed for a picnic.

there are 7 frankfurters to the pound

let x pounds of frankfurters needed for a picnic. to supply 19 pupils with 2 frankfurters each.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

since there are 19 pupil and each of has 2 frankfurters.

total frankfurters = 19 x 2
= 38
required pound,
x =38/7
x = 5.4  

Thus, 5.4 pounds of frankfurters are needed for a picnic to supply 19 pupils with 2 frankfurters each.

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Gina is building a tent. The dimensions of the tent are shown in the diagram.
10 ft
12 ft
16 ft
10 ft
10 ft
8ft
The tent is made of fabric. How many square feet of fabric were used to make the tent?
448 square feet
512 square feet
560 square feet
608 square feet

Answers

Answer:

608 ft

Step-by-step explanation:

(2(0.5bh)) + 2bh + bh

Answer:

its D

Step-by-step explanation:

Find the domain of the graphed function.

Answers

finding domain:

to find the domain, we are finding all of the x values.

example:

say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)

the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:

domain:

{1,2,4,8,13}

conclusion:

since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!

What is the value of q?

Answers

Answer:

14

Step-by-step explanation:

Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units

Answers

Answer:

C) 63.9 square units

Step-by-step explanation:

From the above diagram, we can see that the triangle has 2 sides and and angle

The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ

θ = 70°

a = DE = 8 units

b = EF = 17 units

Area of ΔDEF = 1/2 × 8 × 17 × sin 70°

Area of ΔDEF = 63.9 square units.

Answer:

63.9 square units

Step-by-step explanation:I took the test

A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?

Answers

Answer:486

Step-by-step explanation:

(Multiply by 3 each time ;))

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

multipl each 3 times

Step-by-step explanation:

pls help i give brainliest

Answers

Answer: B no

Step-by-step explanation:

Plot in the x and y coordinates into the equation to solve it.

The x coordinate is  4 and the y coordinate is 1  

-4(4) +3(1)= 2

-16 + 3 = 2

-13 ≠2

-13 does not equal 2 so (4,1) is not a solution.

Answer: NO

Step-by-step explanation:

[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]

-13 does NOT equal 2, so it is not a solution

Hope it helps <3

MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27

Answers

Answer:

B: 6x+27

Step-by-step explanation:

14+2(3x+9)-5

14+6x+18-5

14+6x+13

6x+27 is the final answer

The Answer is: B

Step-by-step explanation:

9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:

Answers

18x+25

she earned $18 an hour and worked for x hours so to find the total, you multiply the two. (18x) but she earned some extra cash which is $25 so you need to add that to.

The total amount Annie earned last week 18x+25.

What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.

Annie  earns $18 per hour. and she worked x hours .

So, total work = 18 * x = 18x

but she earned some extra cash = 25$

now Annie's total amount with extra cash = 18x + 25

Therefore, The total amount Annie earned last week 18x+25.

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Which of the following is equivalent to: -5 - 4?*

Answers

Answer:

-9

Step-by-step explanation:

-5 - 4 = -5 + (4)

You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.

-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9

pllllllllzzzzzzz answer this!!!♥️♥️

Answers

9514 1404 393

Answer:

  a) 7:24 pm

  b) later than 7:24 pm

Step-by-step explanation:

The relationship between time, speed, and distance can be written as ...

  time = distance/speed

So, Faris's travel time to London is predicted to be ...

  time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours

__

a) Faris's expected arrival time at a speed of 50 mph is ...

  3:30 pm +3:54 = 6:84 pm = 7:24 pm

__

b) Time is inversely proportional to speed, so a lower speed will result in a longer time.

Faris's arrival time will be later than 7:24 pm.

Need Help Please I'm Out Of Time ;(

The mean age of Lincoln's tee-ball team is 5. Suppose one of his 7-year-old teammates quits the team, but a 6-year-old joins the team. Is the mean age of Lincoln's team still 5? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

Mean age = (the sum of the ages)/number of people

So,  if 7 is  replaced with 6 ,the sum will be different so the mean age will not be the  same

PLLLLLLLLLLZZZZZZZZZ

Answers

Answer: 4m + 3

Step-by-step explanation:

4m references the 4 bags of marbles and the m marbles in each bag.  + 3 references the extra 3 marbles.

Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul: y−1,400=56(x+26)
Whose function has the smaller y-intercept?
A. Tim’s with a y-intercept of $2,700
B. Paul’s with a y-intercept of $2,856
C. Paul’s with a y-intercept of $2,800
D. Tim’s with a y-intercept of $2,780

Answers

Answer:

D. Tim’s with a y-intercept of $2,780

Step-by-step explanation:

The function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

The equation of Paul's savings is given as:

y-1400=56(x+26)

Set x to 0, to calculate the y-intercept

y-1400=56(0+26)

Evaluate the sum

y-1400=56(26)

Evaluate the product

y-1400=1456

Add 1400 to both sides

y = 2856

For Tim, we have the following equation

y = 225x + c

Where c represents the y-intercept

After eight months, the bank account has $4,580

So, we have:

4580 = 225*8 + c

Evaluate the product

4580 = 1800 + c

Subtract 1800 from both sides

c = 2780

2780 is less than 2856

Hence, the function with the smaller y-intercept is Tim’s with a y-intercept of $2,780

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Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84,
38, 7. What is the sample proportion of numbers that are within +10 of
the mean? (Round off the mean to the nearest integer for your calculations.)

Answers

Well, here is the mean of ur data collected 48.181818...

Answer: 0.38

Step-by-step explanation:

The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)

Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

Answer:

Step-by-step explanation:

Where is f(x)?  My answers pertains only to g(x) = -x^2 + 2x + 4.

Part of B is true:  As x approaches infinity in either direction, g(x) approaches negative infinity.  The graph of g(x) is an inverted parabola.

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.

Answers

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

Answer:

5 dollars

Step-by-step explanation:

Let x be the price of each eraser

We bought a magazine and 4 erasers with 25 dollars

so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5

The eraser costs 5 dollars

Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction StartFraction 1 Over 12 EndFraction StartFraction 1 Over 6 Endfraction StartFraction 3 Over 32 EndFraction StartFraction 3 Over 16 EndFraction

Answers

Answer:

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input        Output

 2            1/6

 3          17/48

 4          13/24

 5          35/48

 6          11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

Relative change = change in distance/change in time

(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.

So D is your answer! Hope this helped!

Rate of change is the change in a particular variable, over another variable.

The rate of change is: 3/16 miles per minutes

To calculate the rate of change, we select any two points on the table (see attachment)

[tex](x_1,y_1) = (2,\frac 16)[/tex]

[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]

The rate of change (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]

[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]

Take LCM

[tex]m = \frac{17- 8}{48}[/tex]

[tex]m = \frac{9}{48}[/tex]

Reduce fraction

[tex]m = \frac{3}{16}[/tex]

Hence, the rate of change is: 3/16 miles per minutes

Read more about rates of change at:

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