Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price was 24$ how much did charlie pay?

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

For such more questions on  Circle Sector Area

https://brainly.com/question/30607726

#SPJ8

Step-by-step explanation:

first, you multiply 3 by 6 and then add 1 to the answer the quotient will be 19/6

We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;

Therefore,

Answer:

x = 15

Step-by-step explanation:

We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.

Step 1: Combine like terms.

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Therefore, x = 15!

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

To know more about Ratio and proportion, visit:

https://brainly.com/question/29774220

#SPJ1

Answer:

add 4x to both sides

Step-by-step explanation:

because -9x is the only thing on the left you want to move all the x's to the left

The example that is a continuous data is B. The wait time at a bus station

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

The list of options

By definition, a continuous data is a data that can take any value including decimals

From the list of options, we have:

B. The wait time at a bus station

The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer

Hence, the continuous data is B. The wait time at a bus station

Read more about continuous data at

https://brainly.com/question/18763328

#SPJ1

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

For more details regarding distance, visit:

https://brainly.com/question/13034462

#SPJ1

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

Read more abot percentage at

https://brainly.com/question/24877689

#SPJ1

Answer: DAM

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I have done this question 20 times

Given:

m∠3 = 63°

Let's find the m∠5 and m∠8.

• m∠5:

Angle 5 and angle 3 are alternate interior angles.

Alternate interior angles are angles formed on the opposite sides of the transversal.

To find the measure of angle 5, apply the Alternate Interior Angles theorem which states that when two parallel lines are cut by a transversal, the alternate interior angles are congruent.

The measure of angle 5 will also be 63 degrees.

Thus, we have:

m∠3 = m∠5 = 63°

m∠5 = 63°

• m∠8:

Angle 8 and angle 5 are linear pair of angles.

Angles that form a linear pair are supplementary.

Supplementary angles are angles that sum up to 180 degrees.

Thus, we have:

m∠8 + m∠5 = 180

m∠8 + 63 = 180

Subtract 63 from both sides:

m∠8 + 63 - 63 = 180 - 63

m∠8 = 117°

Therefore, the measure of angle 8 is 117 degrees.

ANSWER:

• m,∠,5 = 63°

• m∠8 = 117°

Answer:

-3(-4-4) would work giving you 24

Step-by-step explanation:

im sorry that qustion doesnt make sense, if you mean higher then 21, less than 30 than -3(-4-4) would work giving you 24

Answer: The answer is 2289.06

Step-by-step explanation: I assume it’s a circle as it has a radius so simply multiply 3.14 by the radius 27^2

The types of insurance is the minimum required by law is Bodily Injury Liability

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

What is Bodily Injury Liability?

Bodily injury liability coverage pays for the victims' medical expenses if you are at fault for an automobile accident (not including yourself). In the event that you are sued for damages, this coverage also aids in covering the cost of your defence.

For most drivers, 100/300/100, or $100,000 per person, $300,000 per accident in bodily injury liability, and $100,000 per accident in property damage liability, is the optimum liability coverage.

The types of insurance is the minimum required by law is Bodily Injury Liability

To learn more about Insurance visit:

brainly.com/question/27822778

#SPJ4

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

for more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

a

\(0.0028  < p_1 - p_2  < 0.0288\)

b

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  ) who suffered from heart attack  lie within the interval

The  use of Vioxx drug should be stopped

Step-by-step explanation:

From the question we are told that

   The sample size for Vioxx users is  \(n_1 = 3025\)

   The second sample size for placebo is  \(n_2 =  2875\)

   The number of Vioxx users that suffered heart attack is  \(k  = 334\)

     The number of non-Vioxx users that suffered heart attack is  \(g  = 272\)

    Generally the  sample proportion for Vioxx users is mathematically represented as

      \(\r p_1 =  \frac{k}{n_1}\)

=>   \(\r p_1 =  \frac{334}{3025}\)

=>   \(\r p_1 =  0.11041 \)

    Generally the  sample proportion for placebo users is mathematically represented as

       \(\r p_2 =  \frac{g}{n_2}\)

=>   \(\r p_2 =  \frac{272}{2875}\)

=>   \(\r p_2 =  0.09461 \)  

Generally the confidence level is 90% , then the level of significance is  \(\alpha =  (100-90)\%\)

=>   \(\alpha =  0.10\)

Generally the critical value of  \(\frac{\alpha }{2}\) from the normal distribution table  is  

     \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the standard error is mathematically represented as

      \(SE =  \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }\)

=>  \(SE =  \sqrt{\frac{0.11041 (1- 0.11041)}{3025} + \frac{0.09461 (1-0.09461)}{2875} }\)

=>  \(SE = 0.0079\)

Generally the margin of error is mathematically represented as

    \( E=  Z_{\frac{\alpha }{2} } *  SE\)

=>  \( E=  1.645  *  0.0079\)  

=>  \( E=  0.013\)  

Generally the 90%  confidence interval is mathematically represented as

     \(0.11041 - 0.09461- 0.013 < p_1 - p_2  < 0.11041 - 0.09461+ 0.013 \)

=>       \(0.0028  < p_1 - p_2  < 0.0288\)

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  )  lie within the interval

Looking at the interval we see that proportion of Vioxx users who suffered is  more compared to  non-Vioxx users (the placebo group  )[i.e the both limit of the interval is  positive ] hence the  use of Vioxx drug should be stopped

Answer:

Step-by-step explanation:

The rotating light is located 19 feet from the wall, and the angle between the light and the wall is changing at a rate of 10 degrees per 3 seconds. We want to find the rate at which the light's projection is moving along the wall.

To do this, we can use the formula for angular velocity:

ω = Δθ / Δt

where ω is the angular velocity, Δθ is the change in angle, and Δt is the change in time.

We can also use the fact that the tangent of the angle between the light and the wall gives us the ratio of the distance from the light to the wall to the distance from the light to the projection on the wall. In other words:

tan(θ) = x / 19

where θ is the angle between the light and the wall, and x is the distance between the light's projection on the wall and the point directly below the light on the ground.

We can take the derivative of both sides of this equation with respect to time to find the rate at which the light's projection is moving along the wall:

sec²(θ) dθ/dt = dx/dt / 19

We can rearrange this equation to solve for dx/dt:

dx/dt = 19 sec²(θ) dθ/dt

Plugging in the given values, we get:

dx/dt = 19 sec²(10°) (10° / 3 seconds)

Using a calculator, we can evaluate sec²(10°) to be approximately 1.017, and simplify the expression:

dx/dt = 19 x 1.017 x (10° / 3 seconds)

dx/dt ≈ 6.4 feet per second

Therefore, the rate at which the light's projection is moving along the wall when the angle is 10 degrees from perpendicular to the wall is approximately 6.4 feet per second.

x=10

Explanation

the sum of the internal angles in a triangle always equals 180,so

Step 1

Step 2

solve the equation

Step 3

find the missin angle( yellow)

replace x=10

so, the yellow angle is 49 degrees

so, the answer is x=10,

I hope this helps you

Based on the Tangent Chord Theorem:

The Tangent Chord Theorem states that if a chord and a tangent intersect at the point of tangency, then the measure of each angle formed is equal to half the measure of its intercepted arc.

Considering the given angles;

m∠1 = ¹/₂ AB

m∠1 = ¹/₂ ACB

m∠DEG = ¹/₂ * 308°

m∠DEG = 154°

m∠DBC =  ¹/₂ * (360 - 192)

m∠DBC = 84°

m XY = 360 - (151 * 2)

m XY = 56°

Learn more about Tangent Chord Theorem at: https://brainly.com/question/13950364

#SPJ1

The maximum value considering DP of a and b is 9.52.

The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;

4.76 3 dp

The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.

From the given question;

a = 8.7 and b = 0.82

Thus,

a + b = 8.7 + 0.82

        = 9.52

a + b = 9.52

Therefore, the maximum of a + b = 9.52

Learn more about decimal places of numbers at https://brainly.com/question/29074871

#SPJ1

Answer:

7 lbs   4 oz

Step-by-step explanation:

6 lb 10 oz

   + 10 oz

---------------------

6 lbs  20 oz

But we know that there are 16 oz in 1 lb

So subtract 16 oz and add 1 lb

6 lbs  20 oz

+1 lb   - 16 oz

--------------------------

7 lbs   4 oz

The weight of each chair is 7 pounds.

Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.

Total weight = 63 pounds

Weight of the table = 35 pounds

Weight if 4 chairs = 63 - 35

= 28 pounds

Weight of one chair = 28/4

= 7 pounds

To know more about basic arithmetic ,visit:

brainly.com/question/16096936

#SPJ13

The area of the given figure is 12/25 cm²

According to the question, one grid represents 1/5 cm.

So, the dimensions of the shown rectangle are as follows:

Length of the rectangle = 4 grids = 4 × 1/5 cm = 4/5 cm

Width of the rectangle = 3 grids = 3 × 1/5 cm = 3/5 cm

As we know that the area of a rectangle is defined as the product of the length and width.

The area of the figure = Length of the rectangle × Width of the rectangle

The area of the figure = 4/5 cm × 3/5 cm

The area of the figure = 12/25 cm²

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ1

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

Answer:

C 1.7

Step-by-step explanation:

coz 4.23 isn't double of 2.5 so its a bit less therefore the closest answer would be 1.7. u can also check by multiplying

Answer:

E & F

Step-by-step explanation: