In circle L with m/KLM = 66 and KL = 9 units find area of sector KLM.
Round to the nearest hundredth.
Answer:
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attempt 1 out of 2

Answer:

2.5cm

Step-by-step explanation:

you half the diameter to get the radius

Answer:

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Use the formula for permutations:

The number of objects is n = 7 books.

Calculate the factorial:

Answer:

good luck

Step-by-step explanation:

Answer:

9+2/x or 2/x+9

Step-by-step explanation:

Answer:

I think it will be 2/x+9

Step-by-step explanation:

Answer:

the 36th term is 187.

Step-by-step explanation:

To find the 36th term of a sequence, we need to know the rule that generates the sequence. Without that rule, we cannot find the 36th term.

However, if we assume that the sequence is an arithmetic sequence (meaning that there is a common difference between consecutive terms), we can use the given terms to find the common difference and then find the 36th term.

The common difference is found by subtracting the second term from the first term, or the third term from the second term.

Using the first and second terms, we get:

17 - 12 = 5

Using the second and third terms, we get:

22 - 17 = 5

Since both calculations give the same result, we can be confident that the common difference is 5.

Therefore, to find the 36th term, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Using a1 = 12, d = 5, and n = 36, we get:

a36 = 12 + (36 - 1)5

a36 = 12 + 175

a36 = 187

So, if the sequence is an arithmetic sequence with a common difference of 5, then the 36th term is 187.

The percent of the box that will remain unwrapped by the 60 square feet of paper is about 20.70%

A percentage is a proportion of a number expressed as fraction of a 100

The dimensions in mixed fractions can be expressed as follows;

Height of the box = 1 2/3 feet = 5/3 feet

Width of the box = 4 feet

Length of the box = 5 1/2 feet = 11/2 feet

Surface area of the box, A = 2 × (5/3) × 4 + 2 × 4 × 11/2 + 2 × (5/3) × 11/2 = 227/3 = 75 2/3 square inches

The percent of the box that will remain unwrapped is therefore;

Percentage = 60/(227/3) × 100 ≈ 79.3%

The percentage of the box that will remain unwrapped is about (100 - 79.3)% = 20.70%

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For the given expression, the addition of coefficients is [tex]5x^2 + 2x - 7[/tex].

In algebra, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In other words, it is the number that is being multiplied by the variable.

Addition is a basic mathematical operation that combines two or more numbers or quantities to produce a sum. It is denoted by the plus sign (+). When two or more numbers are added, the result is called the sum or total.

First, we need to combine like terms by adding the coefficients of terms with the same variable(s) raised to the same power.

[tex](6x^2 + 10x - 7) + (-x^2 - 8x)[/tex]

[tex]= 6x^2 + (-x^2) + 10x + (-8x) - 7[/tex] (grouping like terms together)

[tex]= (6x^2 - x^2) + (10x - 8x) - 7[/tex] (rearranging terms)

[tex]= 5x^2 + 2x - 7[/tex] (combining the coefficients)

Therefore, the final answer for the addition of coefficients is [tex]5x^2 + 2x - 7.[/tex]

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When the car travels east on 4th Street and turns onto King Avenue heading northeast, the angle created by the car's turning is a 45-degree angle.

When the car travels southwest on King Avenue and turns left onto 3rd Street, the angle created by the car's turning is a 135-degree angle.

When the car travels northeast on King Avenue and turns right onto 3rd Street, the angle created by the car's turning is a 45-degree angle.

(a) When the car travels east on 4th Street and turns onto King Avenue heading northeast, the angle created by the car's turning is a 45-degree angle. This is because the intersection of 4th Street and King Avenue creates a right angle, and the car turns northeast, creating another 45-degree angle with the horizontal 4th Street.

(b) When the car travels southwest on King Avenue and turns left onto 3rd Street, the angle created by the car's turning is a 135-degree angle. This is because the intersection of King Avenue and 3rd Street creates a right angle, and the car turns left, creating an additional 90-degree angle. Therefore, the total angle is 90 degrees + 45 degrees = 135 degrees.

(c) When the car travels northeast on King Avenue and turns right onto 3rd Street, the angle created by the car's turning is a 45-degree angle. This is because the intersection of King Avenue and 3rd Street creates a right angle, and the car turns right, creating another 45-degree angle with the horizontal 3rd Street.

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Michelle can make 6 floor boards for her car.

To determine how many floor boards Michelle can make, we need to divide the total length of wood she has (13.2 meters) by the length of each floor board (2.2 meters).

The number of floor which boards Michelle can make is:

= 13.2 meters / 2.2 meters/floor board

= 6 floor boards

Therefore, Michelle can make 6 floor boards for her car using the 13.2 meters of wood she has.

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Answer: x=14

Step-by-step explanation:

cb=10.

ac=14

The value of X will be 14.

This is a simple mathematics problem that can be solved by using ratios.

Given, AC : BC : AB = 7 : 5 : 8

AC = X ; BC = 10 ; AB = X + 2

AC/ BC = X/ 10 = 7/5  (Ratios can also be represented as fractions)

X/10 = 7/5

On Transposing,

5X = 70

X = 70/5

X = 14

Alternatively,

BC/AB = 5/8 = 10/ (X + 2)

5/8 = 10/ (X + 2)

On Transposing,

80 = 5X + 10

5X = 70

X = 14

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The answer of the given question based on the graph is ,  The locations of A′ and B′ are A′ (0, 1) and B′ (1, 0); lines f and f′ are parallel.

A scale factor is a number that scales, or multiplies, a quantity by some factor. It is used in mathematics to describe the relationship between corresponding measurements of two similar figures, such as triangles or rectangles.

To dilate line f by scale factor of one half with center of dilation at origin, we  multiply coordinates of each point on line f by 1/2.

The equation of line f can be found by using the points A and B:

slope of line f = (0 - 2)/(2 - 0) = -1

y-intercept of line f = 2

Therefore, the equation of line f is y = -x + 2.

To find the coordinates of A' and B' after dilation, we can apply the dilation factor to each point:

A' = (0, 2)*1/2 =(0, 1)

B' = (2, 0)*1/2 =(1, 0)

So A' is located at (0, 1) and B' is located at (1, 0) after dilation.

Now let's analyze the relationship between lines f and f'. The dilation was centered at the origin, so the origin is a fixed point of the dilation. This means that the point where lines f and f' intersect must be the origin.

If we plug in x = 0 into the equation of line f, we get y = 2. This means that point A is located at (0, 2) and intersects with line f at y = 2. After dilation, point A' is located at (0, 1), which means that lines f and f' intersect at point A.

To determine the relationship between lines f and f', we can compare their equations. The equation of f' can be found by using the points A' and B':

slope of f' = (0 - 1)/(1 - 0) = -1

y-intercept of f' = 0

Therefore, the equation of f' is y = -x.

Comparing the equations of f and f', we can see that they have the same slope of -1, which means they are parallel. Therefore, the correct answer is: The locations of A′ and B′ are A′ (0, 1) and B′ (1, 0); lines f and f′ are parallel.

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Therefore, the bank can lend out $1,600 of Fiona's money.

Percent, denoted by the symbol "%", is a way of representing a fraction or proportion out of 100. It is used to express a part of a whole in terms of hundredths. For example, 50% is the same as 50 out of 100, which simplifies to 1/2 or 0.5 as a decimal. Percentages are commonly used in many areas such as finance, statistics, and everyday life to express changes, rates, or comparisons.

Here,

If Fiona deposits $2,000 and the bank has a reserve ratio of 20%, then the bank can lend out 80% of her deposit.

Reserve = 20% x $2,000

= $400

Amount available for lending = $2,000 - $400

= $1,600

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Thus, the height of flagpole from the ground is found as 23.34 feet.

The measurement of the angle between a person's eyes' line of sight to anything above and the horizontal line is known as the angle of elevation.

The movement of the observer's eyes determines the elevation angle. The angle of elevation is the angle formed by the line of sight and the horizontal line when a viewer is looking up at an object.

Given data:

Using the trigonometric ratios in the right triangle ABE.

tan 35 = h / 30

h = 30* tan(35)

h = 18.34

Height of flagpole = 18.34 + 5 = 23.34 feet

Thus, the height of the flagpole from the ground is found as 23.34 feet.

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Answer: 61.03

Step-by-step explanation:

c = a2 + b2 = 502 + 352 ≈ 61.03278

The probabilities are as follows:

(a) P(A')= 0.7

(b) P(A∪B) =  0.3

(c) P(A'∩B) =  0

(d) P(A∩B') =  0.1

(e) P[(A∪B)'] =  0.7

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) P(A') = 1 - P(A) = 1 - 0.3 = 0.7

(b) P(A∪B) = P(A) + P(B) - P(A∩B) = 0.3 + 0.2 - 0.2 = 0.3

(c) P(A'∩B) = P(B) - P(A∩B) = 0.2 - 0.2 = 0

(d) P(A∩B') = P(A) - P(A∩B) = 0.3 - 0.2 = 0.1

(e) P[(A∪B)'] = 1 - P(A∪B) = 1 - 0.3 = 0.7

Note: P(A) represents the probability of event A occurring, P(B) represents the probability of event B occurring, and P(A∩B) represents the probability of both events A and B occurring simultaneously. The symbol '∪' represents the union of two events, and the symbol '∩' represents the intersection of two events. The complement of an event A is represented by A'.

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Step-by-step explanation:

From 1860 to 2018 is  158 years

 Use compounding formula

$ 28.95    =   $ 1   ( 1 +i) ^158       where i is decimal inflation rate %

[tex]\sqrt[158]{28.95}[/tex]  = 1 + i

i = .0215       = 2.15 %

We need to select at least 754 people for the experiment to estimate the fraction of people who black out at G forces greater than 6 with an error of at most 0.03 and a 95% confidence level.

We can use the formula for the sample size required to estimate a population proportion with a specified margin of error and confidence level:

n = (Z^2 * p * (1-p)) / E^2

where:

Z = the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of 1.96)

p = the estimated population proportion from the earlier study

E = the desired margin of error

Substituting the given values, we get:

n = (1.96^2 * 0.33 * (1-0.33)) / 0.03^2

n = 753.69

Rounding up to the next integer, we need a sample size of 754. Therefore, we need to select at least 754 people for the experiment to estimate the fraction of people who black out at G forces greater than 6 with an error of at most 0.03 and a 95% confidence level.

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2298 divided by 24 using long division shows what is the quotient and remainder while 2298 divided by 24 and the complete steps for how to find it.

Question:

2298/24 = (?)

what is 2298 divided by 24?

the quotient is 95 and the remainder is 18 when 2298 is divided by 24.

Since all the students in the class are more than 10 years old, we can write the inequality: greater than

x > 10

what is greater than ?

The symbol ">" is commonly used in mathematics to represent "greater than." It is used to indicate that one quantity or value is larger than another. For example, if we say that 5 > 3, we mean that 5 is greater than 3. Similarly, if we say that x > y, we mean that x is greater than y.

In the given question,

The symbol ">" is commonly used in mathematics to represent "greater than." It is used to indicate that one quantity or value is larger than another.

Let "x" be the age of a student in the class.

Since all the students in the class are more than 10 years old, we can write the inequality:

x > 10

This inequality means that the age "x" of any student in the class must be greater than 10 years.

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The answer of the given question based on the variance is , 92% confidence that the true population mean lies between 69.11 and 74.89.

In statistics, the mean is a measure of central tendency that represents the average of a set of numerical data. It is also known as the arithmetic mean or simply the average. The mean is calculated by adding up all the values in the dataset and then dividing the sum by the number of values.

To construct a random interval with a 0.92 confidence level, we need to find the corresponding z-score for the level of confidence. Since the interval is not two-sided, we will use a one-tailed z-score.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to a 0.92 confidence level is approximately 1.41.

To find the 92% confidence interval for the population mean, we can use the following formula:

CI = ₓ⁻ ± zα/2 * σ/√n

where ₓ⁻ is the sample mean, σ is the population standard deviation (unknown in this case), n is the sample size, and zα/2 is  critical value of  standard normal distribution corresponding to desired level of confidence.

Substituting the given values, we get:

CI = 72 ± 1.41 * (4 / √20)

CI = (69.11, 74.89)

Therefore, we can say with 92% confidence that the true population mean lies between 69.11 and 74.89.

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I hope this helps you.

you can check your ans. by sub. in the value of x and y into both the equation which must give you the same answer.

Therefore , the solution of the given problem of equation comes out to be Julius thus purchased a total of 2 gallons of beverages.

In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics associated with the x + 7 suggestions.

Here,

Julius needs to purchase a total of 5 gallons of beverages, therefore let's begin by converting the given measurements to gallons.

2 quarts of milk were given.

Orange juice, 2 quarts

16 cups of milk, chocolate

Lemonade, 32 ounces

The following conversion factors are available to us:

1 Pints = 1/8 gallon.

1/4 gallon = 1 quart.

1 cup =  1/16 gallon

1 ounce =  1/128 gallon.

2 pints of milk are equal to 1/8 gallon each pint, or

=> 2 pints * 1/8 gallon/pint = 1/4 gallon

2 quarts of orange juice converted to gallons:

=> 2 quarts * 1/4 gallon/quart = 1/2 gallon

16 cups of chocolate milk converted to gallons:

=> 16 cups * 1/16 gallon/cup = 1 gallon

How many litres of lemonade are in 32 ounces?

=> 32 ounces * 1/128 gallon/ounce = 1/4 gallon

Let's now calculate the total number of gallons of beverages Julius purchased:

=> 1/4 gallon (milk) + 1/2 gallon (orange juice) + 1 gallon (chocolate milk) + 1/4 gallon (lemonade) = 2 gallons

Julius thus purchased a total of 2 gallons of beverages.

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Answer:

40 cm²

Step-by-step explanation:

you have to multiply the top of the triangle by the base(40) which is 80 then you divide by two since it's a triangle then you get 40 again since your finding the area you have to put the 2 above the cm

The statements are classified as Exponential decay and Linear growth.

a. Exponential decay: The amount of caffeine in the bloodstream decreases by 50% every 5 hours, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.

b. Linear growth: The amount of trash in a landfill increases by 350 tons per week, which indicates a linear growth process where the quantity increases by a constant amount over time.

c. Exponential decay: The amount of alcohol in the bloodstream decreases by 10 grams (the amount in a standard drink) per hour after stopping drinking, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.

d. Linear growth: Your age increases every day, which indicates a linear growth process where the quantity (age) increases by a constant amount (1 day) over time.

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The plane degrees off course is 6.79 degrees off at a speed of 541. 92 km / hr relative to the ground.

To find the airplane's course deviation and its ground speed, we need to first determine the velocity vectors of the airplane and the wind.

W x = W x cos(225) = 90 x cos(225) = -63.64 km/hr

Wy = W x sin(225) = 90 x sin(225) = -63.64 km/hr

Magnitude: |R| = sqrt(Rx^2 + Ry^2) = √(536.36^2 + (-63.64)^2) = 541.92 km/hr

Direction: θ = arctan(Ry / Rx) ≈ arctan (-63.64 / 536.36) = -6.79 degrees

So, the airplane is 6.79 degrees off course, and its ground speed is 541.92 km/hr.

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Answer:

The speed of the boat in still water is 15 mi/hr while the speed of the current is 10 mi/hr.

Step-by-step explanation:

Given: d = 350 miles

[tex]t_{ds}[/tex] = 14 hours

[tex]t_{us}[/tex] = 70 hours

Asked: Speed of the boat [tex]V_b[/tex] in still water and speed of the current [tex]V_c[/tex]

Solve:

Note that when the boat is going downstream, the current is helping the boat to speed up and when the boat is going upstream, the current is slowing it down.

Get the speed downstream

[tex]V_{ds} = V_b + V_c[/tex]

350mi/14hrs = [tex]V_b + V_c[/tex]

25 mi/hr =    [tex]V_b + V_c[/tex]  

Transpose to get the value of Vb

25 mi/hr - Vc = Vb   ---equation 1

Get the speed upstream

[tex]V_{us} = V_b - V_c[/tex]

350mi/70hrs = Vb - Vc

5 mi/hr = Vb - Vc

Transpose to get the value of Vb

5 mi/hr + Vc = Vb   ----equation 2

Equate equations 1 and 2

25 mi/hr - Vc = 5 mi/hr + Vc

Transpose

25 mi/hr - 5 mi/hr = Vc + Vc

20 mi/hr = 2 Vc

Divide both sides of the equation by 2

10 mi/hr = Vc

Vc = 10 mi/hr

From 25 mi/hr =    [tex]V_b + V_c[/tex]  we then solve the speed of the boat

25 mi/hr = Vb + 10 mi/hr

25 mi/hr - 10 mi/hr = Vb

15 mi/hr = Vb

Vb = 15 mi/hr

Answer:1111

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

2/5=x/100

cross multiply and you get 5x=200

by isolation the variable you will get x=40

therefore, 40% of Canadians read at least 10 books a year

Answer:

it's complex but i will justify wait me