How to find the length of a line segment in a circle?
Additional Topics in Math
Calculator: Not Permitted
Circle Geometry
The semicircle above has a radius of r inches, and chord CD is parallel to the diameter AB. If the length of CD is 2/3 of the length of AB, what is the distance between the chord and the diameter in terms of r?

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

learn more about coordinate here

https://brainly.com/question/27749090

#SPJ4

Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

deja que los números sean x, and x + 2

sabemos que su suma es igual a 100, entonces

por lo tanto, el primer número es 49

y el segundo número es x + 2 = 49 + 2 = 51 (también es el mayor entre los dos números)

entonces suma de dígitos de mayor número = 5 + 1 = 6

Respuesta correcta de la pregunta anterior = 6

Answer:

50

Step-by-step explanation:

4 x 1=4

2.5 x 5=12.5

12.5 x 4=50

So 50 is the answer can i have brainliest now please

Answer:

Step-by-step explanation:

\( \frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4} \)

Write \(9 {x}^{2} \) as a sum

\( \frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} + x - 12}{x + 4} \)

Write X as a sum

\( \frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12 }{x + 4} \)

Factor out \(2 {x}^{2} \) from the expression

\( \frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4} \)

Factor out 11x from the expression

\( \frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4} \)

Factor out 12 from the expression

\( \frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4} \)

Factor out X - 1 from the expression

\( \frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4} \)

Write 11x as a sum

\( \frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4} \)

Factor out 2x from the expression

\( \frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4} \)

Factor out 3 from the expression

\( \frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4} \)

Factor out X + 4 from the expression

\( \frac{(x - 1)(x + 4)(2x + 3)}{x + 4} \)

Reduce the fraction with X + 4

\((x - 1)(2x + 3)\)

Multiply the parantheses

\(2 {x}^{2} + 3x - 2x - 3\)

Collect like terms

\(2 {x}^{2} + x - 3\)

Hope this helps...

Good luck on your assignment...

Solution

In ΔFGH, line FG ║line IJ

And the following dimensions are given

To find HJ, usingthe formula for the ratio of similar triangles, i.e

Substitute the values into the formula above

Crossmultiply and solve for HJ

Hence, HJ is 16 units.

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer:

19.25 ounces

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Let's use accumulation factor-compound formula:

Where:

A = Future value or savings

P = Principal or initial investment

n = Number of times interest is compounded per year

t = time

(a) If they begin the deposits at the end of each month when their child is a newborn, so that they have 18 years of deposits, how large must the deposit be?

In this case:

A = 250000

P = ?

n = 12 (because the interest is compounded monthly)

t = 18

r=9% = 0.09

If they do not begin making deposits until their child is 10 years old, so that they have only 8 years of deposits, how large must the deposit be? Round your final answer to two decimal places.​

In this case t changes from 18 to 8, therefore:

Answer:

10:4

Step-by-step explanation:

..................

Step-by-step explanation:

There are 6 possible rolls ...all equal probability ...'5' is just one of the 6

  so 1/6th of the time it should be a '5'

    1/6th of 300 = 50 times a '5' should be rolled

Answer:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

Step-by-step explanation:

Total expenses for this year: $214.00

The child fee will be: $x

and the adult fee will be $(x+2)

Last year the number of children was 44

and the number of adults was 33

this year also has the same number of children and adults.

which means the entrance fee total for children will be $44x and for adults will be $33(x+2).

44x + 33(x+2) = 214

--> 44x + 33x + 66 = 214

--> 77x = 214 - 66 = 148

--> x = 148/77 = 1.92

So children's price is $1.92 and adults price is $1.92 + 2

hence:

Entrance fee for children: $1.92

Entrance fee for adults: $3.92

Answer:

6 machines

Step-by-step explanation:

Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)

\( \frac{1}{x} \)

rate of 4 machines would be

\(1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days\)

\( \frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines\)

Answer:

\(x^{2}\)-6x=-58

Step-by-step explanation:

Answer:

1. 7.3

2. 33.3

3. 21.3

4. 31.9

5. 25.6

6. 11.0

7. 42°

8. 64°

9. 13°

10. 51°

Step-by-step explanation:

make sure if you're using a math calculator that it is in degree mode.

SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.

Cos is Adjacent(next to it)/hypotenus.

Tan is Opposite/Adjacent.

~~

PROBLEM 1:

So we have 63°, 16 as hypotenus, and x as one of the legs.

1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)

2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.

3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996

4. Don't forget to round to the nearest tenth, which gives you

x = 7.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 2:

Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.

1. Set it up, Tan 39° = 27/x can't solve this way so fix it.

2. rewritten as X = 27/tan39

3. round ur answer.

x = 33.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 3:

Given: 49°, adj is 14, hyp is x. So this is Cos.

1. Set up according to CAH, Cos 49=(14/x).

We can't solve it this way since the X is on the bottom. So we have to fix it!

2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.

3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)

4. Round.

x= 21.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 4:

Given: 15°, 33 hyp, adj x. Which is Cos.

1. Cos 15= x/33 and rewrite.

2. Input as 33 cos(15 into calculator = 31.875...

3. Round to tenth.

x = 31.9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 5:

Given: 52°, 20 adj of °, and x opp of °. Will use TAN.

1. Tan 52° = x/20

2. 20 Tan(52 into calculator

3. Round

x = 25.6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 6:

Given: 27°, opp of ° is 5, hyp is x. Will use Sin.

1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.

2. Input into calculator as: 5/sin 27 which equals 11.01...

3. Round.

x = 11.0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 7:

Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.

We will be using SIN, x is still a °.

1. Sin X = 4/6 Rewrite.

2. X= Sin^-1 (4/6)

Make sure ur sin is negative in calculator when doing this.

3. It SHOULD give you 41.81, round.

x = 42°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 8:

Given: x°, 29 opp, 14 adj. TAN.

1. Tan x°= 29/14 or..

2. X = Tan^-1(29/14) solve..

3. gives u 64.23.... round.

x = 64°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 9:

Given: x°, hyp 54, opp 12. SIN

1. Sin x°=(12/54)

2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)

3. Don't Forget to round, answer unrounded: 12.839..

x = 13°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 10:

Given: x°, adj 25, hyp 40. COS

1. Cos x°=25/40 rewrite.

2. X= Cos^-1(25/40) Solve.

3. Round.

X= 51°

Answer:

x = 76 children's tickets sold

Step-by-step explanation:

Let x = the number of children's tickets sold

Let y = the number of adult tickets sold

x + y = 131

5.5x + 9.8y = 957    Solve the first equation for y

y = 131 - x        Multiply the second equation by 10

55x +98y = 9570     Substitute the above equation into this one.

55x + 98(131-x) = 9570   Use the distributive property

55x + 12838 - 98x = 9570   Solve the equation

-43x = -3268

x= 76 children's tickets sold

Answer:

of which can be considered the “correct” value. The percent difference is the absolute value of the difference over the mean times 100. quantity, T, which is considered the “correct” value. The percent error is the absolute value of the difference divided by the “correct” value times 100.

Step-by-step explanation:

The named terms in the sequence are a₂₂ = -66, a₃₇ = -1050 and a₂₃ = 32

Sequence 1

From the question, we have the following sequence that can be used in our computation:

18,14,10,6,

In the above sequence, we can see that the 4 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = 18

d = -4

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 22nd term, we have

a₂₂ = 18 + (22 - 1) * -4

Evaluate

a₂₂ = -66

Sequence 2

Here, we have

30,0,-30,-60,

In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = 30

d = -30

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 37th term, we have

a₃₇ = 30 + (37 - 1) * -30

Evaluate

a₃₇ = -1050

Sequence 3

Here, we have

-34,-31,-28,-25,

In the above sequence, we can see that the 3 is added from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = -34

d = 3

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 23rd term, we have

a₂₃ = -34 + (23 - 1) * 3

Evaluate

a₂₃ = 32

Read more about sequence at

brainly.com/question/7882626

#SPJ1

Trains make up approximately 49.04% of the total journeys across all modes of transportation.

We must divide the total number of train trips by the total number of trips made using all modes of transportation, then multiply the result by 100 to get the percentage that trains make up of the total.

There have been 2320 train trips overall, and there have been 4730 trips overall using all forms of transportation.

Trains therefore account for the following proportion of the total:

(2320 / 4730) x 100% = 49.04%

Train travel thus accounts for roughly 49.04 percent of all travels made using all modes of transportation.

To know more about Percentage visit:

brainly.com/question/30348137

#SPJ1

Answer:

  15.62

Step-by-step explanation:

The length XY is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-8))² +(-6 -4)²) = √(12² +(-10)²) = √244

  d ≈ 15.62 . . . units

The length of XY is approximately 15.62 units.

Step-by-step explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)

where c is

Solving for the angle d.

\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)

This angle must be within 0 and 180

We get

\(d = 101.54\)

Answer:step 2

Step-by-step explanation:

Of 100 students 27 are taking caculus are taking french and 13 are taking both calculus and french if a student is picked at random, the probability that a randomly selected student is taking calculus or French is 0.51.

To find the probability that a randomly selected student is taking calculus or French, we need to determine the total number of students taking calculus, the total number of students taking French, and the total number of students taking both.

Let's denote:

A = Event of taking calculus

B = Event of taking French

We are given the following information:

n(A) = 27 (number of students taking calculus)

n(B) = 37 (number of students taking French)

n(A ∩ B) = 13 (number of students taking both calculus and French)

To find the probability, we use the formula:

P(A or B) = P(A) + P(B) - P(A ∩ B)

Let's calculate the probability:

P(A) = n(A) / Total number of students = 27 / 100 = 0.27

P(B) = n(B) / Total number of students = 37 / 100 = 0.37

P(A ∩ B) = n(A ∩ B) / Total number of students = 13 / 100 = 0.13

P(A or B) = 0.27 + 0.37 - 0.13

P(A or B) = 0.51

Therefore, the probability that a randomly selected student is taking calculus or French is 0.51 (rounded to two decimal places).

For more details regarding probability, visit:

https://brainly.com/question/31828911

#SPJ1

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1

The answer is 2π

Hope this helps

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

Learn more on Simplifying an expression here: https://brainly.com/question/723406

#SPJ1