After finding the area from the dimensions of the first polygon, find the area of the similar polygon after finding the similarity ratio.

Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

Answer:

h ≈ 2.64ft

Step-by-step explanation:

A = 2πrh + 2πr2

h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft

Kono Dio Da!!

Answer:

7.1 square feet

Step-by-step explanation:

Since the diameter of a circle is twice the radius, the radius of each circle is 3/2=1.5. The area of a circle is \(\pi r^2=\pi \cdot 1.5^2=2.25\pi \approx 7.1\). Hope this helps!

Answer:

18.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(sin = \frac{o}{h} \\ cos = \frac{a}{h} \\ tan = \frac{o}{a} \\ \\ 1. \frac{21}{28 } = 0.01 \\ 2. \frac{16}{34} =0.1 \\ 3. \frac{28}{35} =0.01\\ 4. \frac{32}{24} = 0.1 \\ 5. \frac{30}{34} = 0.01 \\ 6. \frac{32}{40} = 0.01\\ 7. \frac{24}{40} = 0.01 \\ 8. \frac{14}{50} = 4.89x10-3 \\ 9. \frac{24}{30} = 0.1 \\ 10. \frac{27}{36} = 0.01\)

Step-by-step explanation:

forgive my mistake:'(

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Answer:

slope: -3; y-intercept: (0,15)

Step-by-step explanation:

The slope is -3, simply move 3x to the right side for slope intercept form, the y-intercept is where x =0 so set x equalt to zero. 3(0)+y=15, y=15

Answer:

sorry im confused too . i would help you but I don't know what they are asking sorry

To find the area of the base of a hexagonal prism, we need to know the formula for the volume of a hexagonal prism. The volume of a hexagonal prism is given by the formula:

V = Bh

where B is the area of the base and h is the height.

In this problem, we are given the volume of the hexagonal prism and its height. So, we can use the formula to find the area of the base.

V = Bh

(15x^3 − 26x^2 + 43x − 14) = B(5x − 2)

To find B, we need to divide both sides by (5x − 2):

B = (15x^3 − 26x^2 + 43x − 14) / (5x − 2)

Now that we have the formula for B, we can evaluate it by in the given value of x:

B = (15x^3 − 26x^2 + 43x − 14) / (5x − 2)

= [(x-2)(3x-1)(5x+2)] / (5x-2)

So, the area of the base of the hexagonal prism is [(x-2)(3x-1)(5x+2)] / (5x-2) square meters.

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Answer:

The answer is 12

Step-by-step explanation:

If there are 36 gallons per 3 min. To find the per min you would divide 36 by 3.

Answer:

5 minutes to run a kilometer please give me brainlyest

Answer:

2835

Step-by-step explanation:

The given statement "without the Central Limit Theorem we really couldn’t do much of what we try to do with statistics." is true. Because The CLT plays a critical role in many statistical analyses and has contributed significantly to the advancement of the field of statistics. This theorem plays a critical role in many statistical analyses and is often used to make important decisions in fields such as finance, medicine, and engineering.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that enables us to make inferences about a population based on a sample of data. The theorem states that, regardless of the underlying distribution of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.

One could argue that without the CLT, many statistical techniques that we use today would not be possible. For instance, in hypothesis testing, the CLT is used to calculate the probability of obtaining a certain sample mean or proportion, given a null hypothesis about the population parameter.

Without the CLT, it would be difficult to calculate this probability accurately and would lead to unreliable results. The CLT allows us to assume that the sampling distribution of the mean is approximately normal, which enables us to construct these intervals.

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The required area that the label would cover is given as 3771.4 cm².

As mentioned in the question,
the wheel has a radius of 30 centimeters and a height of 20 centimeters,

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
Area of the label, = 2πrh
Substitute the value in the above formula,
Area of the label = 2 × 22 / 7 × 30 × 20
Area of the label = 3771.4 cm²

Thus, the required area that the label would cover is given as 3771.4 cm².

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Answer: Then aswer the question wit your broke answer

Step-by-step explanation:

Answer:

b) 43 degrees

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The bottom right angle is 80° since thats the value of its complement

Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°

Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

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The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

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Answer: -3

Step-by-step explanation:

The set of integers is a set of numbers that includes all negative numbers, all positive numbers, and zero.

Examples of integers are -4, 7, 0, -17.

Note that 1/2 is not an integer, but rather a rational number.

So now that we know what integers are, we will answer our question.

Which number is an integer? -3, -4, 1, -5, 2, 4, 2/3

In fact, all of these are integers, except 2/3.

Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

\( log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) \)

When you add logarithms, it is equivalent to multiplying their arguments:

\(log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) \)

Since both sides are log base 4, the arguments must equal each other:

\( {x}^{3} = 64\)

\(x = \sqrt[3]{64} = 4\)

here it is, this is ur answer x=4

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:Because c is c

Step-by-step explanation:

The product of the complex numbers is:

\(\frac{-9-3\sqrt{3} }{2} \right + 6i\)

The product of two complex numbers can be found by multiplying them.

We have:

z₁ = 2(cos 120° + isin 120°)

z₂ = 3(cos 330° + isin 330°)

Thus, the product will be:

z₁ * z₂ = 2(cos 120° + isin 120°) * 3(cos 330° + isin 330°)

          = 2 * 3 [(cos 120° * cos 330°) + (cos 120° *  isin 330°) + (isin 120° * cos 330°)  + (isin 120° * isin 330°)

       \(= 6[(\frac{-1}{2} * \frac{\sqrt{3} }{2}) \left+ (\frac{-1}{2} * \frac{-1}{2}i) \left+ (\frac{\sqrt{3} }{2}i * \frac{\sqrt{3} }{2})) \left+ (\frac{\sqrt{3} }{2}i * \frac{\sqrt{3} }{2}i)]\)

       \(= 6[\frac{-\sqrt{3} }{4} \right + \frac{i}{4} \rightt+ \frac{3i }{4} \right+ \frac{3i^{2} }{4}]\)

      \(= 6[\frac{-\sqrt{3} }{4} \right + \frac{i}{4} \rightt+ \frac{3i }{4} \right+ \frac{-3}{4}]\)

      \(= 6[\frac{-3-\sqrt{3} }{4} \right + \frac{3i + i}{4} ]\)

      \(= 6[\frac{-3-\sqrt{3} }{4} \right + \frac{4i}{4} ]\)

      \(= 6[\frac{-3-\sqrt{3} }{4} \right + i ]\\= \frac{-9-3\sqrt{3} }{2} \right + 6i\)

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Complete Question

Check attached image

Answer:

  295 months

Step-by-step explanation:

You want to know the number of months required to pay off a 30-year loan of $125000 at 6% if an extra payment is made each year.

The number of payments required will depend on the actual payment schedule, and the way the lender computes interest due.

The attached calculation shows it takes 319 payments. The assumption is that they are evenly spaced at 13 payments per year (one every 4 weeks), and the interest is computed on the interval between payments.

If 13 payments are made per year, the number of years it takes to pay off the loan will be ...

  319/13 = 24 7/13

24 years and 7 months is 295 months.

__

Additional comment

If the first payment is made on Jan 28, and payments are made every 4 weeks, there will be 2 payments in Dec. That is, except for the last month of the year, there will be 1 payment per month.

If regular monthly payments are made, but one of the payments is doubled, the result may be different.

Answer:

y = -1/2x + 5/2 or y = -0.5x + 2.5

Step-by-step explanation:

perpendicular lines have reciprocated slopes (opposite signs and values)

y = 2x + 1 → y = (-1/2x) + b

plug in (3,1) to find b

1 = -1/2(3) + b

1 = -1.5 + b

2.5 = b

y = -1/2x + 5/2 or y = -0.5x + 2.5

Answer:

y = -1/2 x +5/2

Step-by-step explanation:

y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope

We want a line perpendicular

Perpendicular lines have slopes that multiply to -1

m * 2 = -1

Divide by 2

m = -1/2

The slope of the perpendicular line is -1/2

y = mx+b

y = -1/2x +b

Using the point (3,1)

1 = -1/2 *3 +b

1 = -3/2 +b

Add 3/2 to each side

2/2 +3/2 = b

5/2 = b

y = -1/2 x +5/2

The correct expression to calculate the amount Marlene was charged in interest for the billing cycle is:

($566.67 \(\times\) 0.15) / 365

To calculate the amount Marlene was charged in interest for the billing cycle, we need to find the difference between the total balance at the end of the billing cycle and the total balance at the beginning of the billing cycle.

The interest is calculated based on the average daily balance.

The total balance at the end of the billing cycle is $440, and the total balance at the beginning of the billing cycle is $570.

The duration of the billing cycle is 30 days.

To calculate the average daily balance, we need to consider the balances at different time periods within the billing cycle.

In this case, we have three different balances: $570 for 10 days, $690 for 10 days, and $440 for the remaining 10 days.

The average daily balance can be calculated as follows:

(10 days \(\times\) $570 + 10 days \(\times\) $690 + 10 days \(\times\) $440) / 30 days

Simplifying the expression, we get:

($5,700 + $6,900 + $4,400) / 30.

The sum of the balances is $17,000, and dividing it by 30 gives us an average daily balance of $566.67.

To calculate the interest charged, we multiply the average daily balance by the APR (15%) and divide it by the number of days in a year (365):

($566.67 \(\times\) 0.15) / 365

This expression represents the amount Marlene was charged in interest for the billing cycle.

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To find the dimensions of the rectangle with the maximum area, we can start by visualizing the problem. The base of the rectangle lies on the x-axis, and two of its vertices are on the parabola y = 25 - x^2.

Let's denote the width of the rectangle as 2x (since it is symmetric about the y-axis) and the height as y.

(a) The first step is to express the area of the rectangle in terms of x and y. The area of a rectangle is given by the formula A = width * height, so in this case, the area is A = 2x * y = 2xy.

(b) Next, we need to express y in terms of x. Since the vertices of the rectangle lie on the parabola y = 25 - x^2, we substitute y with 25 - x^2 in the area equation, giving us A = 2x(25 - x^2).

(c) To find the dimensions that maximize the area, we need to maximize the area function. Taking the derivative of A with respect to x and setting it equal to zero, we have dA/dx = 0:

dA/dx = 2(25 - x^2) - 6x^2 = 0

Simplifying the equation, we get:

-8x^2 + 50 = 0

Solving for x^2, we find:

x^2 = 50/8 = 6.25

Taking the square root of both sides, we have:

x = ±2.5

Since the width of the rectangle cannot be negative, we take x = 2.5.

(d) Now, substituting this value of x into the equation for y, we have:

y = 25 - (2.5)^2 = 18.75

Therefore, the dimensions of the rectangle with the maximum area are a width of 5 units and a height of 18.75 units.

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Answer:

Step-by-step explanation:

hello,

we can say that f(0)=23 as he has already donated $23

and as he wants to give $1 every day so f(x)-f(x-1)=1 then

f(0)=23

f(x)=f(x-1)+1

and we can compute

f(1)=f(0)+1=24

f(2) = 25

f(3)=26

etc

hope this helps

Answer:

Hence the weight of chalk stick is 25 g.

Explanation:

Let the weight of a stick be x gm.

12% of x=3

(12/100)*x=3

x=3*(100/12)=25 g

Answer:

Step-by-step explanation:

let chalk contains 10x calcium, 3x carbon, 12x oxygen.

percentage of carbon in the chalk:

=                  3x              x 100

        10x + 3x + 12x

=  3x    ( 100 )

   25x

= 3 (4)

= 12%

Now, we know that carbon has 12% of chalk.

weight of carbon = 12% x weight of chalk. ------------- equation

plugin values into the equation:

3 = 12% (weight of chalk)

3 =   12     (weight of chalk)

      100

  12     (weight of chalk) = 3

 100

weight of chalk = 3 (100)

                               12

weight of chalk = 25g