Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.13.7, 3.7, 8.5, 14.2

The coordinates of points A and B, we cannot provide the exact values of AC and CB or verify the required ratio. Please provide the coordinates of points A and B, and we can calculate and verify the distances accordingly.

To verify that point C divides the line AB in the required ratio, we can calculate the distances AC and CB using the distance formula.

The distance formula is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's assume the coordinates of point A are (x1, y1) and the coordinates of point B are (x2, y2). The coordinates of point C are given as (4, -2).

To calculate the distance AC, we substitute the coordinates of points A and C into the distance formula:

AC = √((x2 - x1)^2 + (y2 - y1)^2)

= √((4 - x1)^2 + (-2 - y1)^2)

Similarly, to calculate the distance CB, we substitute the coordinates of points C and B into the distance formula:

CB = √((x2 - x1)^2 + (y2 - y1)^2)

= √((x2 - 4)^2 + (y2 + 2)^2)

By calculating AC and CB, we can determine if they are in the required ratio.

However, without knowing the specific coordinates of points A and B, we cannot provide the exact values of AC and CB or verify the required ratio. Please provide the coordinates of points A and B, and we can calculate and verify the distances accordingly.

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Answer:

8 sides (octagon)

Step-by-step explanation:

sum of exterior angles is always 360º

360 / 45 = 8 sides

Answer:

8 sides

Step-by-step explanation:

If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.

Answer:

See picture below

Step-by-step explanation:

Answer:

7. 2^-5= 1/2^5= 1/32

8. (4/5)^-3= (5/4)^3=125/64

9. 8^-4/8^-7=8^-4+(-7)=8^11=216

10. (1/3)^-2 x (1/3)^2=(1/3)^-2+2=(1/3)^0=1

Answer:

Anna will need 1375 g of oats

The Texas Star® Ferris wheel at the Texas State has diameter of 65 meters.

Circumference -- The distance around the circle (the perimeter of a circle).

Diameter -- The distance from the circle through the circle's center to the circle on the opposite side. (twice the radius)

Radius -- The distance from the center of a circle to the circle (half the diameter). Draw a line segment from the center of the circle to any part of the circle and you have the radius.

                 Circumference(C) = 2d

                 C=π*d

                 π*d=204.1

                 d=204.1/3.14

                 d=65

Hence, the diameter of the wheel is 65 meters .

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The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

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Answer: hope this helps <3

Step-by-step explanation:it is $43.2

Answer:

\(\sf m = \dfrac{2}{5}\)

Explanation:

A system of equations will have no solution when:

Meaning they shall have the same slope but different constant.

\(\sf y = \dfrac{2}{5} x - 7\)       Here slope: 2/5  and constant: -7

Another equation:

\(\sf y = \dfrac{2}{5} x + 3\)       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

Observed from our graph,

At 2 afternoon

At 8 afternoon

From 100% to 40% between 2PM and 4 PM:

(100 - 40)/(4 - 2) = 60/2 = 30% per hour

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. For example, 1 percent of 1,000 chickens equals 1/100 of 1,000, or 10 chickens; 20 percent of the quantity is 20/100 1,000, or 200.

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Answer:

50 Zeros

Step-by-step explanation:

Since 10 is the exponent number and 5 is the base, then 5 would be written out 10 times but since you multiply that by 5, it's 50 zeros in total

Answer:

5 zeros because 5 × 10 is 50 if you multiply 5 by 10 5 times then there are 5 zeros.

Step-by-step explanation:

Answer:

1 1/12

Step-by-step explanation:

3/4 + 1/3

Get a common denominator of 12

3/4 * 3/3 = 9/12

1/3 * 4/4 =4/12

9/12 + 4/12

13/12

12/12 + 1/12

1 1/12

TV = 6ft

VS = 21

___________________

Ratio

wall/ Raf = 21/ 6

wall/ 4= 21/ 6

wall = 21*4/6 = 14

The wall is 14 ft high. ​

Answer:

for the whole month $75.00 for each day around $2.60

Step-by-step explanation:

$100-$25=$75

$75÷29=$2.60 (rounded)

full number is $2.586206896551724

Can I please have Brainliest?

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

To find two nonnegative numbers x and y such that xy = 162 and 4x +2y is minimized, we need to use the concept of the Arithmetic-Geometric Mean.The main answer is:x = 9√2y = 9/√2

Explanation: Arithmetic-Geometric Mean: Let a and b be positive numbers.The Arithmetic Mean (AM) is a + b / 2. The Geometric Mean (GM) is √ab.The Arithmetic-Geometric Mean is the following:a_n = (a_n−1 + b_n−1) / 2  b_n = √a_n−1 * b_n−1  a_0 = a  b_0 = b

Let's solve the problem using the Arithmetic-Geometric Mean.√(4xy) = √(4 * 162) = 36xy/36 = 162/36xy = 9√2 * 9/√2xy = 81The numbers that will minimize 4x + 2y are 4x = 36, and 2y = 18. Therefore, x = 9√2, and y = 9/√2

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Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

You can buy car A, because the acceptable rate is 14% and here car A has a rate of 20%

Given,

There are three different cars that you could buy. They differ in initial cost, annual operating costs, and life. Your minimum acceptable rate of return is 14%. Use the ROR method to select the best alternative.

Alternative            A             B                 C

Initial Cost          10,000     8,000       5,000

Annual Cost       1,000       1,500        1,500

Life                     8 years    8 years     5 years

Here,

Rate of Return of car A = (10,000 - 1000 x 8) / 100 = 2000/100 = 20%

Rate of Return of car B = (8,000 - 1500 x 8) / 100 = -4000/100 = -40%

Rate of Return of car B = (5,000 - 1500 x 5) / 100 = -2500/100 = -25%

That is,

You can buy car A, because the acceptable rate is 14% and here car A has a rate of 20%

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Answer:

Step-by-step explanation:

1st, 3rd, and 6

Answer: 3x + 23

it should be right!

Answer:

3x + 23

Step-by-step explanation:

To simplify this expression, the first thing we have to do is distribute the 4 outside the parentheses. This gives us 4x + 28 - 7 - x + 2. Now, we can combine like terms (those that have variables and those that don't) to get 3x + 23

Answer:

(-1,-1 )

and (2,11)

Step-by-step explanation:

put first value to x and second value to y and see if y satisfy the equation

Answer:

k=2

Step-by-step explanation:

2x+y=1 (1)

(1)×2: 4x+2y= 2

The y-intercept of both lines must be the same as if the y-intercept is different, it will have no solutions instead of infinite solutions. In order to achieve infinite solutions, both lines must be on the same points and have same gradient and same y-intercept.

Hence, k= 2

Answer: k=2

Step-by-step explanation:

If the two equations 2x+y=1, 4x+2y=k have infinite number of solutions, it means that the two equations are dependent and represent the same line. To check this, we can find the ratio of the coefficients of x and y in the two equations:2/4 = 1/2

1/2 = k/1

From the first ratio, we can see that the coefficient of x in the second equation is twice that of the first equation.

Similarly, the coefficient of y in the second equation is twice that of the first equation. Therefore, the second equation is just a multiple of the first equation.Solving the first equation for y, we get y = 1-2x. Substituting this into the second equation, we get:4x + 2(1-2x) = k

4x + 2 - 4x = k

2 = k

Therefore, the value of k is 2.

The probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

Probability is the study of random events. It is a measure of the likelihood of an event occurring. Probability can be expressed as a decimal, a fraction, or a percentage. There are two types of probability - empirical probability and theoretical probability.

Empirical probability is calculated by conducting experiments or collecting data. It is calculated using the following formula:

Empirical probability = Number of favourable outcomes/Total number of outcomes

Theoretical probability is calculated using probability formulas. It is calculated using the following formula:

Theoretical probability = Number of favourable outcomes/Total number of possible outcomes

In the given problem, a fair die is rolled three times. We need to find the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll. There are 2 favourable outcomes for the first roll, 2 favourable outcomes for the second roll, and 2 favourable outcomes for the third roll.

Total number of outcomes = 6×6×6 = 216

Number of favourable outcomes = 2×2×2 = 8

Probability = Number of favourable outcomes/Total number of outcomes

Probability = 8/216

Probability = 1/27

Therefore, the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

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Answer:

66 students

Step-by-step explanation:

Percentage of students learning Spanish = 100% - 72% - 38% + 30%

                                                                     = 20%

No. of students learning Spanish = \(\frac{20}{100}\) × 330 students

                                                       = 66

Answer:

AABC=76.9067 m2C=2:3:4.=234.76

The average simulated time to cross town using the given random numbers is approximately 15.56 minutes.

To calculate the simulated average time to cross town using the given random numbers, we can use the concept of uniform distribution.

The range of possible times to cross town is from 12 to 20 minutes. The random numbers provided (0.21, 0.53, 0.05, 0.89, 0.15, 0.73, 0.06, 0.28, 0.81, 0.74) represent the proportion of the range from 12 to 20 that corresponds to each simulated time.

To find the simulated times, we multiply each random number by the range (20 - 12 = 8) and add it to the minimum value of 12.

Simulated times:

12 + (0.21 * 8) = 13.68

12 + (0.53 * 8) = 16.24

12 + (0.05 * 8) = 12.4

12 + (0.89 * 8) = 18.12

12 + (0.15 * 8) = 13.2

12 + (0.73 * 8) = 17.84

12 + (0.06 * 8) = 12.48

12 + (0.28 * 8) = 14.24

12 + (0.81 * 8) = 18.48

12 + (0.74 * 8) = 18.92

To find the average of these simulated times, we sum them up and divide them by the total number of simulations (10):

(13.68 + 16.24 + 12.4 + 18.12 + 13.2 + 17.84 + 12.48 + 14.24 + 18.48 + 18.92) / 10 = 15.56

Therefore, the simulated (average) time to cross town using the given random numbers is 15.56 minutes (rounded to 2 decimal places).

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Answer:

C -4,3  D stays the same  B stays the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a). 5 to 30

\(9,16 , 25\)

(b) . 100 to 200

\(100, 121 ,144, 169 , 196\)

(c). 200 to 300

\(225,256,289\)

(d). 300 to 400

\(324, 361,400\)

(e). 400 to 550

\(400 , 441,484,529,\)

Answer:

5-30

(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)

Step-by-step explanation: