The diagram shows three touching circles.
A is the centre of a circle of radius x centimeters.
B and C are the centers of circles of radius 3.8 centimeters. Angle ABC = 70.
Find the value of x

The Diagram Shows Three Touching Circles.A Is The Centre Of A Circle Of Radius X Centimeters.B And C

Answers

Answer 1

Answer:

x = 7.31 cm

Step-by-step explanation:

cos 70° = 3.8/AB

0.3420 = 3.8/AB

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

Answer 2

The value of x which is the radius of circle A is 7.31 cm

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

AB = AC, hence ∠B = ∠C = 70°

∠A + ∠B + ∠C = 180° (angles in a triangle)

∠A + 70 + 70 = 180

∠A = 40°

BC = 3.8 + 3.8 = 7.6

Using sine rule:

BC/sinA = AB / sinB

7.6/sin(40) = AB/sin(70)

AB = 11.11 cm

x = 11.11 - 3.8 = 7.31 cm

The value of x which is the radius of circle A is 7.31 cm

Find out more on equation at: https://brainly.com/question/2972832


Related Questions

Easy question look at photo

Answers

Answer:

I would go with yes, since we know BC=UV

Step-by-step explanation:

PLEASE HELP !!!!!!!!!!!!

Answers

9514 1404 393

Explanation:

The figure will be a rectangle only if the angles between adjacent congruent sides are 90°.

__

Attached is an example of a quadrilateral with 3 congruent sides. It is not a rectangle, but could be an isosceles trapezoid if the top and bottom sides were parallel. It would be a parallelogram (rhombus) if opposite congruent sides were parallel.

(10x – 2) - (2x - 7)
O 8x + 5
O 12.2 + 5
o 12c - 9
O 83 -9

Answers

Answer:

the first one

8x+5

Step-by-step explanation:

10x-2-2x+7= 8x+5

math question helppppppppp

Answers

Answer:

it would be 17 m second one is 20inch third one is 6 meters

Step-by-step explanation:

np give it a heart

Answer:

1st) area = 12 x 3.7 = 44.4 m²

2nd) area = 24 x 18 = 432 in²

3rd) area = 7.3 x 5 =36.5 m²

Step-by-step explanation:

Stefan has a bag that contains 3 blue marbles and 5 red marbles only.What fraction of the marbles in the bag are blue?

Answers

Answer:

3/8

Step-by-step explanation:

vecause there are 8 in total and 3 of them are blue.

hope this helps

3/8! This is because if he were to have 3 blue and 5 red and added them you’d get 8, in which that’s the denominator, your numerator will be the amount of blue marbles making the answer 3/8

Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?

Answers

Answer:

The perimeter of one poster is 57 inches.

Step-by-step explanation:

The perimeter of a rectangle is given by:          

[tex] P = 2(w + h) [/tex]

Where:

w: is the widht = 12.5 in

h: is the height = 16 in

Hence, the perimeter is:

[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]

Therefore, the perimeter of one poster is 57 inches.

I hope it helps you!

Find the value of x.

Answers

Answer:

13.8

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html

It gives you everything you need to know about the triangle

13 . 8 your welcome

A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.

Answers

Answer:

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Step-by-step explanation:

Average change in the sample:

[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]

Standard deviation of the sample:

[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]

We have the standard deviation for the sample, so the t distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42

The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

I need help pleaseee​

Answers

Answer:

H

Step-by-step explanation:

Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of the distance of Uber rides to be approximatelynormal with a standard deviation of 1.3 miles.(a) (5 points) Construct a 99% confidence interval for the average distance (in miles) ofan Uber ride. (round to one decimal place)(b) (4 points) What can we assert with 99% confidence about the possible size of our errorif we estimate the average distance of an Uber ride to be 5.4 miles

Answers

Answer:

a) CI = ( 5,1 ; 5,7 )

b) SE =  0,1  

Step-by-step explanation:

a) Sample random     n  = 100

Mean  =  μ = 5,4

Standard deviation   s = 1,3

CI = 99 %    α = 1 %   α = 0,01     α/2 =  0,005

z(c) for  0,005 is from z-table    z(c)  = 2,575

z(c)  =  ( X - μ ) /s/√n          CI  =  μ ± z(c) * s/√n

CI =  5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10       SE =  0,1  

We can support that with 99 % of probability our random variable will be in the CI.

MUST HELP!!!! (+10 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)

any absurd answers will result in a ban.

Answers

Answer:

Imagery

Imagery includes language that appeals to all of the human senses, including sight, hearing, taste, touch, and smell.

I think its imagery because the narrator describes that the character stood firmly, was held, rootless in mid air, etc..

Step-by-step explanation:

:))

I will give brainleist pls

Answers

Answer:

C

Step-by-step explanation:

We can immediatly rule out A and B because the Quotient is bigger than the Divisor.

We can then rule out D because 2,016 does not round to 2,200.

The answer is C. 2,184 can round to 2200 and the Divisor is bigger than the quotient.

Answer:

C

Step-by-step explanation:

This is quite simple as we can find the answer out on the first hint itself. The first hint says the divisor, 2 number in the equation or number you are dividing by, can be rounded to 50, which means it is in the range of 45-54. We can see the only divisor in that range is C. To go with the other hints, though, the dividend, first number, can be rounded to 2,200 which means it is in the range of 2,151-2,250. All of them pass that, so on to the next hint. It says the quotient, number you get as answer, is smaller than the divisor, which we found is in the range of 45-54. Answer choices A and B do not follow this as the divisors of their equation are obviously smaller than the quotient, so we can conclude C to be our answer

if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?

Answers

2,000,000 or 2,000 something 2 hope this helps

Answer:

8,000,000

Step-by-step explanation:

This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.

Meaning? Well...

500,000 x 2 = 1,000,000 = 64yrs

1,000,000 x 2 = 2,000,000 = 128yrs

2,000,000 x 2 = 4,000,000 = 192yrs

4,000,000 x 2 = 8,000,000 = 256yrs

This is 4 times.

so every time it's doubled, it means the sum of that number times 2.

The perimeter of any polygon is the?
Choose a right answer :
a) Product of all the sides.
b) sum of the all sides.
c) sum of any two sides.
d) sum of the diagonals.​

Answers

Answer:

B

Step-by-step explanation:

perimeter is the sum of all sides. it's the distance around the figure.

Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5

Answers

The end is c kkdkkdkdje

What is the value of the following
expression when d=2?

3d + (2.d)-4

Answers

Answer:

6

Step-by-step explanation:

I used a calculator and the answer is 6

PLEASE HELP
3/4x - 7 = 3 (1/6x +1)

Solve the linear equation and determine whether it’s one solution or infinite solution or no solution

Answers

Use cymath it helps with problems like this

Answer:

One Solution

Step-by-step explanation:

[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]

[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]

[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]

[tex] = > \frac{3 - 2}{4} x = 10[/tex]

[tex] = > \frac{1}{4} x = 10[/tex]

=> x = 10 × 4

=> x = 40

Here,

The variable x whose only one value 40 will solve the equation.

Hence,

It has only one solution. (Ans)

Find the 13th term of the arithmetic sequence 4x – 9, x – 16, -23 – 23,...

Answers

Answer: thumbs up

Step-by-step explanation:

The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.

3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7

Use the data to fill in the box-and-whisker plot below.

Answers

Answer:

I'm not your Slave

Step-by-step explanation:

do it yourself

There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?

Answers

you need to change them all to have common denominators and then add all the numerators and subtract them from 64.

answer = 8+16+12+8+14 = 58
64-58 = 6
there is a 6/64 probability of selecting a piece of the 6th flavor

Divide 10 by t. Then, add 2.
Which of the following expressions matches the statement above?
A.
t + 10 + 2
B.
10 + (t + 2)
C.
10 + + 2
D.
10 + 2 +


Answers

Fmutmi oop
Is ymunjnn

N
Rn. M. B p

Each interior angle of a regular nonagon has a measure 13x+10°. What is x?

Answers

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

-6y+15= -27 what is y?

Answers

Answer:

y=7

Step-by-step explanation:

-6y= -27-15

-6y= -42

y=7

Answer:

‐6y= ‐27‐15

‐6y= ‐42

y= ‐42/‐6 minus minus sign will be cut

y=7

Urn 1 contains 3 blue tokens and 2 red tokens; urn 2 contains 2 blue tokens and 4 red tokens. All tokens are indistinguishable. You roll a die to determine which urn to choose: if you roll a 1 or 2 you choose urn 1; if you roll a 3, 4, 5, or 6 you choose urn 2. Once the urn is chosen, you draw out two tokens at random from that urn (no replacement). How many possible outcomes are possible

Answers

Answer:

RR = 0.4

RB = 0.3

BB = 0.22

BR = 0.30

Step-by-step explanation:

P( Urn 1 ) = 2/6 = 1/3

P( Urn 2 ) = 1 - 1/3 = 2/3

Urn 1 contains : 3 blue and 2 red

P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )

P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )

Urn 2 contains : 2 blue and 4 red

P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )

P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )

Determine

i) Possible outcomes when two tokens are drawn from either Urn without replacement

RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4

RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3

BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22

BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30

Which of the following is the additive inverse of
1/2

Answers

Answer:

2

Step-by-step explanation:

1/2 x 2 = 1

Answer:

2

Step-by-step explanation:

beacuse 2/1 is actually 2

According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in sample size from n = 16 to n = 25 will produce a sampling distribution for the sample means that has a smaller standard deviation. B. The larger the sample size, the more the sampling distribution of sample means will resemble a normal distribution C. The mean of the sampling distribution of sample means for samples of size n = 15 will be the same as the mean of the sampling distribution for samples of size n = 100. D. The mean of a sampling distribution of sample means is equal to the population mean divided by the square root of the sample size. E. The larger the sample size, the more the sampling distribution of sample means resembles the shape of the population.

Answers

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

From the Central Limit Theorem, we have that:

The larger the sample size, the closer to the normal distribution the distribution of sample means is.

No matter the sample size, the mean is the same.

The larger the sample size, the smaller the standard deviation.

The smaller the sample size, the larger the standard deviation.

So the correct options are:

A, B, C

solve the following equation for x: y = 2 x-5 , x + y = 4

Answers

Answer:

(3,1)

Step-by-step explanation:

Y=2x-5

x+y=4

substitute the answer for y in the first equation (2x-5) with the y in the second equation

x+(2x-5)=4

x+2x-5=4

3x-5=4

add 5 to both sides to isolate 3x

3x=9

x=3

To find y, replace x in either of the original equations and solve for y.

x+y=4

3+y=4

y=1

so, x=3, y=1

chech answer by subbing x and y values into either original equation.

y=2x-5

1=2(3)-5

1=6-5

1=1

or

x+y =4

3+1=4

4=4

85% of x is 51. Write an equation that represents the situation

Answers

Answer:

85%*x =51

Step-by-step explanation:

of means multiply

Hence,

     85% times x =51

1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature

Answers

Shfhdjdjsxjzkzndmdkxmdns

260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys

Answers

Answer:

We need a picture of the screen plz

Step-by-step explanation:

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