calculate the perimeter of a quarter circle 2mm use pi=3.14​

In the given graph, ABCD is the preimage and EGHF is the image. If the second step in a similarity transformation between these two figures is dilation by 1/2. So option D. (x,y)→(y,-x) is the answer.

Let us understand the steps in a similarity transformation: S1: We reflect (flip) the figure over the line y = x.

S2: We perform a dilation (stretch) from the origin.

S3: We reflect (flip) the figure over the line y = -x. Thus, when we perform a dilation by 1/2, it means we will be performing S2 first. The dilation occurs from the origin.

So, all points will be stretched to half the distance from the origin. Hence, the transformation is (x, y) → (1/2x, 1/2y).The correct option is D. (x,y)→(y,-x).

Here, we see that the figure is reflected over y = x first, and then over y = -x. Thus, we can say that the first step in this transformation is S1, (x,y)→(y,x).

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Answer:

its A 656 ft

Step-by-step explanation:

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

My best recommendation is to find the median.

Step-by-step explanation:

To find a median, find the averaging number and divide by 2. Round them up for odd numbers. For even numbers, leave them and if it's a decimal, find a remainder. If the median method does not work, put the numbers on a ratio comparison and see if that gives you the next patterns.

I tried my best so I really do hope this helps you.

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

=10x−5

Step-by-step explanation:

=8x+−5+2x

Combine Like Terms:

=8x+−5+2x

=(8x+2x)+(−5)

=10x+−5

Answer:

10x-5

Step-by-step explanation:

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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Answer:

Step-by-step explanation:

Hey, I'm not sure if I am right, but I hope it can create a spark or something.

8. Find x

10x - 1 = 14x - 37      Combine like terms

     +37        +37

10x + 36 = 14x          Combine like terms

-10x          -10x

    36 = 4x                Divide to isolate x

    36 = 4x

     4      4

    9 = x        

You can also do this method with the others.

PS: I am still not sure if this is the right method, lol. I just really want to help.

Answer:

Step-by-zbastep explanation:

Answer:

The candy bar would cost 1.50 cents and the bag of chips would be a 1.00

Step-by-step explanation:

Answer:

1.50 times 10=15 for cream bars, and 5 packs of chips each will be $1 which is 5 packs of chips so it it will be 15 cream bars+5 packs of chips =$20

Step-by-step explanation:

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

Its B

I just did it you had to simplify

Step-by-step explanation:

Answer: B

Step-by-step explanation: When dividing by exponents you substract them so

(9x^3y^-10z^6)/(3xy^2z^-3)

We can first divide 9 by 3 which equals 3

so 3x^3y^-10^z^6/xy^2z^3

then subtract exponents x^3/x = x^2, y^-10/y^2 = y^-12, z^6/z^-3 = z^9

and then we will put y on the denominator and change the exponent's sign so 3x^2z^9/y^12

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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The value of angle ABE is 52°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.

The sum of interior angle in a triangle is 180°

Angle EBD = 180-(90+27)

= 180-117

= 63°

angle ABE + EBD = ABD

ABE = ABD - EBD

ABE = 115-63

= 52°

Therefore the value of angle ABE is 52°

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Answer:

radius = 6

apothem = 4.85

side length = 7.05

Step-by-step explanation:

sin 36 =x/6, x= 3.53, side length = 7.05

cos 36 = apothem/6, apothem = 4.85

Therefore, the values of the pentagon is the radius is 6, apothem=4.8 and the side length =3.48.

A pentagon is one of the many types of polygon having five sides and five angles. The word 'Pentagon' arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles.

Let x be the side length of the pentagon.

As per the given information;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

Sin(36) = x / 6

x = 6 × sin(36)

side length x = 6 × (0.58)

side length x  = 3.48

And

cos(36) = apothem / 6

Apothem = 6 cos36

Apothem = 6 (0.80)

Apothem = 4.8

Hence, the radius is 6, apothem=4.8 and the side length x=3.48.

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Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Answer:

It costed $20 dollars in total

Step-by-step explanation:

Answer:

6x+7=13

2/3x+8= 8.66

Step-by-step explanation:

calculator and rule with a compass

Answer:

a) 0.3 = 30% probability of drawing a white chip.

b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

a. P(W), the probability of drawing a white chip.

1/3(one white out of 3) of 0.3(from B1).

1/2(two white out of 4) of 0.2(from B2).

1/5(one white out of 5) of 0.5(from B3). So

\(P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3\)

0.3 = 30% probability of drawing a white chip.

b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.

The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:

\(P(B1 \cap W) = 0.3\frac{1}{3} = 0.1\)

Then the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333\)

0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.

Let's assume you need "x" mL of the 70% alcohol mixture.

First, we'll determine the amount of alcohol in the 10% alcohol mixture:

Alcohol in 10% mixture = 10% of 75 mL

= (10/100) × 75 mL

= 7.5 mL

Next, we'll determine the total amount of alcohol in the desired 55% solution:

Alcohol in 55% solution = 55% of (75 mL + x mL)

We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.

Therefore, we can set up the equation:

Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture

55% of (75 mL + x mL) = 7.5 mL + 0.7x mL

Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:

0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL

41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL

0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL

-0.15x mL = -33.75 mL

x mL = (-33.75 mL) / (-0.15)

x mL ≈ 225 mL

Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.

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Tax the assesed home would increase the total amount paid

The tax of a home assesed at $150,000 is $1500

The given parameter can be represented using the following ratio:

Ratio = Tax : Amount

So, we have:

$10 : $1000 = Tax : $150000

Express as fraction

10/1000 = Tax/$150000

Multiply both sides by $150000

Tax = $1500

Hence, the tax of a home assesed at $150,000 is $1500

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The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Answer:

If its asking for hectors age, then its 152/8=19

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

152-8

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

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Step-by-step explanation:

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The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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Answer:exponential

Step-by-step explanation:

Edge 2021

Answer:

exponential graph :)

Step-by-step explanation: