why is the product of the circumradius and the area of the triangle equal to the product of the sides of the triangle

A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.

If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.

A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.

For more questions on rotation and dilation

https://brainly.com/question/28558697

#SPJ4

Answer:

To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:

n = (2 * standard error of the mean / margin of error)^2

Plugging in the values, we get:

n = (2 * (1 / sqrt(n)) / 0.09)^2

Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.

Step-by-step explanation:

Answer:

Hi

The answers is

W=36 ÷ 4

Answer:

4 or [tex]\sqrt{250}[/tex]

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

Answer:

0.08, 8 hundreths, 8 x 1/100

Step-by-step explanation:

The first digit before the decimal is a unit.

The first digit after the decimal point is called a tenth

The second digit after the decimal point is called hundreths

The third digit after the decimal point is called a thousandths

The 8 is the second digit after the decimal point.

Therefore the answer is eight hundreths or represented by the decimal form of 0.08

It is also 8 x 1/100 because if we multiply this we get 0.08

Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.

The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.

When t = 0

V = 3 + 2(0) = 3 liter

When t = 1

V = 3 + 2(1) = 5 liter

When t = 2

V = 3 + 2(2) = 7 liter

When t = 3

V = 3 + 2(3) = 9 liter

When t = 4

V = 3 + 2(4) = 11 liter

When t = 5

V = 3 + 2(5) = 13 liter

Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.

Learn more about Time function:

https://brainly.com/question/4025726

#SPJ4

Answer:

x (greater than or equal to) -53 *The last bubbled option*

Step-by-step explanation:

The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.

The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.

According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.

Here the four quadrants are written as,

Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.

Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.

Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.

Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.

To know more about Quadrant here

https://brainly.com/question/14061041

#SPJ4

The percentage markup the store made before selling those speakers

are 136.33%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A store bought a set of speakers for $82.86 and sold them for

$195.82.

So, The amount of profit is $(195.82 - 82.86).

= $112.96.

Now, The markup percentage can be obtained by the concept of the percentage change.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (112.96/82.86)×100%.

= 136.33%.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ4

Answer:

A) y + 1 = -3 ( x - 7 )

Step-by-step explanation:

I used the Desmos website. Hope this helps.

Answer:

A

Step-by-step explanation:

3x + y = 4

y = -3x + 4

y + 1 = -3(x - 7)

The midpoint of 0 and 5 is 2.5.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

To learn more about midpoints :

https://brainly.com/question/5566419

#SPJ4

Answer:

A

Step-by-step explanation:

There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3

Answer:

You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88.  30/88 reduced is 15/44

Hope this helped  

[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]

When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.

[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]

[tex]\dfrac{6\times5}{11\times8}[/tex]

[tex]=\dfrac{30}{88}[/tex]

Reduce to simplest form:

[tex]\dfrac{30\div2}{88\div2}[/tex]

[tex]=\fbox{$\dfrac{15}{44} $}[/tex]

Answer:

C.

Step-by-step explanation:

The line that is a perpendicular bisector of the segment connecting the two points.

Answer:

C. The line that is a perpendicular bisector of the segment connecting the two points

Step-by-step explanation:

I took the test and got it right.

If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The two numbers be a and b.

Therefore, (a + b) = 21 and (a - b) = 6.

Adding these two equations, The variable 'b' will cancel out and we'll have

2a = 27.

a = 27/2.

And, 27/2 + b = 21.

b = 21 - 27/2.

b = (42 - 27)/2.

b = 15/2.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Answer:

22

Step-by-step explanation:

34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too

Answer:

Step-by-step explanation:

Multiply both sides by - 21

-21 x x/-21 + 15 = 13 x -21

x + 15 = - 273

x = - 273 - 15

x = - 288

The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

population mean assumed to be 2925

sample mean = 2515

standard deviation of sample = 585.

sample size = 15

t-score is indicated because the standard deviation is taken from the sample rather than from the population.

t-score = (x - m) / s

x is the raw score

m is the raw mean of the population

s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.

degrees of freedom = 15 minus 1 = 14.

t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.

you need to know the confidence level.

at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.

since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

To know more about population mean visit: brainly.com/question/19538277

#SPJ4

Answer:

Step-by-step explanation:

To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:

Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.

Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.

Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.

Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.

Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.

Add 23 to both sides of the equation: 25 = -x.

Finally, divide both sides of the equation by -1 to solve for x: x = -25.

Therefore, the solution to the equation is x = -25.

Answer:

x=3

Step-by-step explanation:

2(−2x+1)−5x+2= -23

Distribute

-4x+2-5x+2=-23

Combine like terms

-9x+4=-23

Subtract both sides by 4

-9x=-27

Divide both sides by -9

x=3

Hope this helps :)

Answer:

The answer is choice c

Step-by-step explanation:

The length of the other leg is 65 cm

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

Leg 1 = a

Leg 2 = 72 cm

Hypotenuse = 97 cm

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

97² = a² + 72²

So, we have

a² = 97² - 72²

Evaluate

a² = 4225

Take the square roots

a = 65

Hence, the other leg is 65 cm

Read more about right triangle at

brainly.com/question/1248322

#SPJ1

Answer:

If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`

Step-by-step explanation:

Answer:C

Step-by-step explanation:Because I did this

Answer:

reflected over x axis

Step-by-step explanation: