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What is the "Zero Product Property"?

Provide an example please!!

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If \(m\angle ABC\) measures 40°.

To find:

The \(m\angle ADC\).

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure \(\angle ABC\) is the central angle and \(m\angle ADC\) is the inscribed angle on the same arc AC.

Using central angle theorem, we get

\(m\angle ABC=2m\angle ADC\)

\(40^\circ=2m\angle ADC\)

\(\dfrac{40^\circ}{2}=m\angle ADC\)

\(20^\circ=m\angle ADC\)

Therefore, the measure of angle ADC is 20°.

Answer:

fafafasda

Step-by-step explanation:

wdwasdsa wr 1+11123121

The probability of A and B will be 0.0425.

It should be noted that probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

In this case the probability of A is 0.85 and the probability of B is 0.05.

Therefore, the probability of A and B will be calculated by multiplying the probability of A which is 0.85 by the probability of B that is given. This will be calculated as:

= P(A) × P(B)

= 0.85 × 0.05

= 0.0425

Therefore, based on the calculation the probability is 0.0425.

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To measure the height of a stack of 1,000 ponies:
1. Decide on the unit of measurement (meters, feet, etc.).
2. Prepare a suitable measuring tool.
3. Arrange the ponies in a stable stack.
4. Position the measuring tool vertically alongside the stack and measure from the base to the highest point.
5. Record the measurement in the chosen unit.

To measure the height of a stack of 1,000 ponies, you can use the following steps:
1. Determine the unit of measurement: Before measuring the height, it is important to decide on the unit of measurement that you will be using. Common units for measuring height include meters, feet, or centimeters.
2. Prepare a measuring tool: Depending on the unit of measurement you have chosen, you will need a suitable measuring tool. For example, if you are using meters, you can use a measuring tape or a ruler marked in meters. If you are using feet, a yardstick or measuring tape marked in feet would be appropriate.
3. Arrange the ponies: Make sure the stack of ponies is stable and secure. You can align them in a straight line or stack them on top of each other.
4. Measure the height: Position your measuring tool vertically alongside the stack of ponies. Start from the base of the stack and measure up to the highest point. Ensure that your tool is perpendicular to the ground and the stack of ponies for accurate measurement.
5. Record the measurement: Once you have determined the height, write down the measurement in the chosen unit. For example, if the stack of ponies measures 3 meters, record it as 3m.
It is important to note that the accuracy of your measurement may depend on factors such as the alignment and stability of the ponies in the stack. Also, consider rounding your measurement to an appropriate level of precision based on the measuring tool you are using.

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Given:

The three points are (1,2), (2,3) and (-2,-11).

To find:

Whether the given points are collinear.

Solution:

Let as consider the three points are A(1,2), B(2,3) and C(-2,-11).

If these three points are collinear, then area of \(\Delta ABC\) must be 0.

Area of \(\Delta ABC\),

\(Area=\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|\)

\(Area=\dfrac{1}{2}|1(3-(-11))+2(-11-2)+(-2)(2-3)|\)

\(Area=\dfrac{1}{2}|(3+11)+2(-13)-2(-1)|\)

\(Area=\dfrac{1}{2}|14-26+2|\)

\(Area=\dfrac{1}{2}|-10|\)

\(Area=\dfrac{1}{2}(10)\)

\(Area=5\neq 0\)

Therefore, the given points are not collinear.

Answer:

42

Step-by-step explanation:

3a+5b

3(4)+5(6)

12+30

42

Answer:

42

Step-by-step explanation:

3 times 4 equals 12, 5 times 6 equals 30

30 plus 12 equals 42

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the border/perimeter of the yellow ribbon is 26in

let the  width be x

W=x

and the lenght

L=x+3

Step two:

Required

The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.

we know that the perimeter of a rectangle is given as

P=2L+2W

26=2(x+3)+2x---------This is the expression required

26=2x+6+2x

26=4x+6

26-6=4x

20=4x

divide both sides by 4

x=20/4

x=5in

The width is 5in

The length is

L=x+3

L=5+3

L=8in

Answer:

z=8

Step-by-step explanation:

Considering the triangle on the RHS,

Let the Unknown side be "x"

from pythagora's theorem,

x ^ 2 = 4 ^ 2 - 2 ^ 2 x = √(4 ^ 2 - 2 ^ 2)

x = √(16 - 4)

x = √12

cos alpha = 2/4 , alpha = arccos(2/4)

alpha = 60°

< ABC + theta + alpha = 180°

theta = 180 - alpha - <ABC

theta = 180 - 60 - 90

theta = 30°

Now Considering the triangle on the LHS,

tan 30 = (√12)/y

y = (√12)/(tan 30°)

y = 6

z = y + 2

z = 8

Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

Answer:

24960 dollars per year

Step-by-step explanation:

(450 + 30) x 52 ( weeks in a year)

Answer:

Step-by-step explanation:

1. $450+$30 = $480

2. $480 x 50(weeks) = $24,000

Answer:

x = 16

Step-by-step explanation:

4x + 22 = 86

4x + 22 - 22 = 86 - 22

4x = 64

4x/4 = 64/4

x = 16

Answer:

16

Step-by-step explanation:

86-22= 64 64/4=16

plz mark branliest

Investigating an outlier that a data analyst has found is the best course of action.

To find the solution to a problem or provide an answer to a question, a data analyst gathers, purifies, and analyzes data sets.

They work in a variety of fields, including as government, business, finance, law enforcement, and science.

Depending on the question you're attempting to answer, data analysis might take on various shapes.

More information on different data analysis types is available here.

In a nutshell, descriptive analysis explains what happened, diagnostic analysis explains why it occurred, predictive analytics offers future projections, and prescriptive analysis generates actionable recommendations for what to do.

Hence, Investigating an outlier that a data analyst has found is the best course of action.

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Answer:

That something unexpected is about to happen.

Step-by-step explanation:

Sherman's total return on his investment in Boca-Cola stock is $5,430.

The formula for the total return on an investment is as follows:

total return = capital gain + dividend yield

Initially, Sherman bought 150 shares of Boca-Cola stock for $15 a share.

Therefore, the initial investment (also known as the initial cost) is:

$15 x 150 = $2,250

Four years later, the stock price of Boca-Cola is $50 per share.

The capital gain is calculated as follows:

capital gain = final share price - initial share price

capital gain = $50 - $15

capital gain = $35

Therefore, the capital gain on Sherman's 150 shares is:

$35 x 150 = $5,250

Next, we need to calculate the total amount of dividends that Sherman received over the 4 years. The dividend per share is $0.30. Therefore, the total amount of dividends received is:

total dividends = dividend per share x number of shares x number of years

Sherman received dividends for 4 years, so:

total dividends = $0.30 x 150 x 4

total dividends = $180

The dividend yield is calculated as follows:

dividend yield = total dividends / initial cost

dividend yield = $180 / $2,250

dividend yield = 0.08 or 8%

Finally, we can calculate the total return:

total return = capital gain + dividend yield

total return = $5,250 + $180

total return = $5,430

Therefore, Sherman's total return on his investment in Boca-Cola stock is $5,430.

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Answer:

1.22 dollars after sales tax

Answer:

1 quart = 32 ounces

so we have 64 ounces

8.32 ÷ 64 ounces = $0.13 per ounce

The solution is 44 copies

The number of copies the copy machine makes in one minute is 44 copies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of copies the copy machine makes = 231 copies

Time required by the to make 231 copies = 5 minutes 15 seconds

5 minutes = 5 x 60 seconds

5 minutes = 300 seconds

5 minutes 15 seconds = 300 + 15 seconds

5 minutes 15 seconds = 315 seconds

So , Time required by the to make 231 copies = 315 seconds

Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )

Substituting the values in the equation , we get

Number of copies in one minute A = 60 x ( 231 / 315 )

Number of copies in one minute A = 60 x 0.733

Number of copies in one minute A = 44 copies

Therefore , the value of A is 44 copies

Hence , the number of copies is 44 copies

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1 13/8

Have a great day!

P.S it can also be 21/8

This question was not properly written

Complete Question

Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make

Answer:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

Approximately as a whole number , he can make 3 batches of brownies from 3/2 cups of chocolate left

The circumference of a circle is always equal to 2π times the radius of the circle. This formula is very useful in geometry and mathematics in general.

The circumference of a circle is proportional to its radius is a statement that is defined as a mathematical equation. In simple terms, it means that if the radius of a circle changes, the circumference of the same circle will change proportionally to the change in its radius.

For a circle, the formula for calculating its circumference is:

Circumference = 2πr where

π = 3.14 and

r = radius of the circle.

We can find the coefficient of proportionality by using the above formula:

Circumference ∝ Radius

Circumference = k × Radius

where

k is the coefficient of proportionality or constant of proportionality

Since the circumference is given by 2πr,

we can substitute it in the above equation as follows:

2πr = k × r

Simplifying for k:

k = (2πr)/r

k = 2π

The coefficient of proportionality is therefore 2π.

We can use this coefficient to calculate the circumference of a circle by multiplying it by the radius of the circle.

Thus, the circumference of a circle is always equal to 2π times the radius of the circle.

This formula is very useful in geometry and mathematics in general.

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Given:

The number of times coin flipped is N = 60.

The number of heads is n(H) = 42.

The number of tails is n(T) = 18.

The objective is to find the theoretical probability of coin landing heads up.

Explanation:

The general probability of coin landing heads is,

On plugging the given values in equation (1),

To obtain the percentage of probability,

Hence, the probability of the coin landing heads up is 70%.

Thus, the probability of randomly choosing one vegetable and one grain-based side dish in this scenario is 2%.

The probability of randomly choosing one vegetable and one grain-based side dish depends on the number of options available for each category.

For example, if there are 10 vegetable options and 5 grain-based side dish options, the probability of choosing one vegetable and one grain-based side dish would be calculated as follows:

Probability of choosing one vegetable = 1/10
Probability of choosing one grain-based side dish = 1/5

To find the probability of both events happening together, we multiply the probabilities:

Probability of choosing one vegetable and one grain-based side dish = 1/10 x 1/5 = 1/50

Therefore, the approximate probability of randomly choosing one vegetable and one grain-based side dish in this scenario is 1/50 or 0.02 (2%).

However, the actual probability may vary depending on the specific number of options available for each category. It's important to note that this calculation assumes that each option is equally likely to be chosen, which may not always be the case in real life.

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Answer:

15 cm

Step-by-step explanation:

\(\frac{12}{24}\) = \(\frac{x}{30}\)

cross multiply and solve for x

or just notice that the fraction reduces to 1/2 and 15 is half of 30

the answer is in the picture

The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.

To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.

Since the two play areas must be of equal size, let's call the length and width l and w, respectively.

We know that the total length of fencing is 200 feet, so l + w = 200 feet.

We can then solve for l by rearranging the equation as l = 200 - w.

We then substitute this into the area equation to get A = (200 - w)w.

To maximize the area, differentiate this equation to get A' = w - 200.

Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.

Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx+b

m represents the slope, and b is the y-intercept

The slope is 2 as it's going up 2 unit squares each time, and the b is 4 because that's where the y-axis gets intercepted.

so the answer is y = 2x + 4

Answer:

Hii have a another app thatcan helpyouu can download mathscanner hope ithelps