Parallelogram ABCD is similar to parallelogram EFGH. What is the length of GH?

The Total cost for a tour group consisting of n number of people is 20n

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the total cost if a tour group consisting of n people

Since A walking tour of Washington, D.C., costs $20 per person. Hence, for n number of people:

Total cost = $20 per person * n persons = 20n

The Total cost for a tour group consisting of n number of people is 20n

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Answer:

isoceles

Step-by-step explanation:

Two sides are to long to be equal. But the two long sides appear to be the same leghth

The triangle formed by the points (0,1), (4,0), and (3,6) is a scalene triangle.

To determine whether the triangle formed by the points (0,1), (4,0), and (3,6) is scalene, isosceles, or equilateral, we need to calculate the lengths of the three sides of the triangle and then compare them.

The distance formula between two points (x1, y1) and (x2, y2) is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the lengths of the sides:

1. Length of side AB (between points (0,1) and (4,0)):

AB = √((4 - 0)² + (0 - 1)²)

AB = √(16 + 1)

AB = √17

2. Length of side AC (between points (0,1) and (3,6)):

AC = √((3 - 0)² + (6 - 1)²)

AC = √(9 + 25)

AC = √34

3. Length of side BC (between points (4,0) and (3,6)):

BC = √((3 - 4)² + (6 - 0)²)

BC = √(1 + 36)

BC = √37

Now, we can compare the lengths of the sides:

- If all three sides have different lengths, the triangle is scalene.

- If two sides have the same length and the third side is different, the triangle is isosceles.

- If all three sides have the same length, the triangle is equilateral.

In this case, the lengths of the sides are approximately:

AB ≈ √17

AC ≈ √34

BC ≈ √37

Since all three sides have different lengths (the square roots of 17, 34, and 37 are all distinct values), the triangle formed by the points (0,1), (4,0), and (3,6) is a scalene triangle.

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(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer:

2.5 pounds of cashews.

Step-by-step explanation:

Let's say we have a for pounds of almonds and c for pounds of cashews.

6.5a + 5.5c = 23.5

6.5 * 1.5 + 5.5c = 23.5

9.75 + 5.5c = 23.5

5.5c = 13.75

c = 2.5

So, Ariel bought 2.5 pounds of cashews.

Hope this helps!

Answer:

2.5 pounds of cashews

Step-by-step explanation:

First, we have to find out how much money she spent on almonds. To do this we must multiply how many pounds she got by the price per pound. This means we multiply $6.5 by 1.5, which equals $9.75. Now we have to subtract this from the total amount she spent to find how much she spent on cashews. Since $23.50-$9.75=$13.75, she spent $13.75 on cashews. Now all we have to do is divide this by how much it cost per pound to find out how many pounds she bought. Since 13.75/5.5=2.5, she bought 2.5 pounds of cashews.

Answer:

the answer is -9/16.....

Answer:

2/18

Step-by-step explanation:

Answer:

4×+10y-6y=14

4×+4=14

4×=14-4

4×=12

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\(4) \: \: \: R = 28\)

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\(5) \: \: \: P = 124\)

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\(6) \: \: \: x = 20\)

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\(7) \: \: \: y = 6\)

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\(8) \: \: \: x = 26\)

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The expression is given as,

Rearranging the like terms,

Like terms : Terms that have same power of variable.

Simplifying further,

Thus the result of the given expression is,

Answer:

-8 + 10x^2 - 6x

Step-by-step explanation:

(doesn’t have to be in this order)

1. Combine numbers with the x^2

-3 + 10x^2 - 4x - 5 - 2x

2. Combine regular numbers

-8 + 10x^2 - 4x - 2x

3. Combine numbers with the plain x

-8 + 10x^2 - 6x

Answer:y= - 2x + 16

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

 5,5

- 2,1

======

3,4

Answer:

3,4

Step-by-step explanation:

you take 5,5 and subtract 2,1

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

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9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

The volume of the pool is ...

  V = LWH

  V = (10 ft)(8 ft)(5 ft) = 400 ft^3

At the given fill rate, the time it will take is ...

  (400 ft^3)/(80 ft^3/h) = 5 h

It will take 5 hours for the pump to fill the pool.

Answer:

Im pretty sure the answer is 5 hours

Step-by-step explanation:

The capacity of swimming pool is

v = 10 ⋅ 8 ⋅ 5 = 400 cubic feet

The pump fills 80 cubic feet in 1 hour

Therefore, the pump will fill

400 cubic feet in 5 hours.

Answer:

  The given point satisfies both equations of a line, hence is common to the two lines.

Step-by-step explanation:

Given two lines, one joining the points (6,-7,0) to (16,-19,-4), and the other joining the points (0,3,-6) to (2,-5,10), you want to show that the point (1, -1, 2) is common to those lines.

The equation of a line through points (x1, y1, z1) and (x2, y2, z2) can be written:

  (x -x1)/(x2 -x1) = (y -y1)/(y2 -y1) = (z -z1)/(z2 -z1)

For the first pair of points, the equation of the line is ...

  (x -6)/(16 -6) = (y +7)/(-19 +7) = (z -0)/(-4 -0)

  (x -6)/10 = -(y +7)/12 = -z/4 . . . . . line 1

For the second pair of points, the equation of the line is ...

  (x -0)/(2 -0) = (y -3)/(-5 -3) = (z +6)/(10 +6)

  x/2 = -(y -3)/8 = (z +6)/16 . . . . . line 2

If the given point is on each of these lines, then it will satisfy each of the equations.

Line 1: (1 -6)/10 = -(-1 +7)/12 = -2/4   ⇒   -5/10 = -6/12 = -2/4 . . . true

The given point is on Line 1.

Line 2: (1)/2 = -(-1-3)/8 = (2+6)/16   ⇒   1/2 = 4/8 = 8/16 . . . true

The given point is on Line 2.

The given point is common to both lines.

__

Alternate solution

For points A and B and parameter p, we can write the parameterized equation of each line as ...

  (x, y, z) = A +p(B -A)

Using parameters t and s for the two lines, we get ...

  Line 1: (x, y, z) = (6, -7, 0) +t(16 -6, -19 +7, -4 -0) = (6 +10t, -7 -12t, 0 -4t)

  Line 2: (x, y, z) = (0, 3, -6) +s(2 -0, -5 -3, 10 +6) = (0 +2s, 3 -8s, -6 +16s)

A common point will be found where (x, y, z) for some value of t matches (x, y, z) for some value of s. We can find those values of s and t by solving simultaneous equations for any pair of the variables (x, y, z). The equations are ...

By any of your favorite methods, these equations have the solution (t, s) = (-0.5, 0.5). The point the lines have in common is ...

  (6 +10(-0.5), -7 -12(-0.5), 0 -4(-0.5)) = (6 -5, -7 +6, 2) = (1, -1, 2)

The common point to the two lines is (1, -1, 2).

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

x=9

Step-by-step explanation:

21x-9=180

21x=189

189/21

9

Answer:

x = 9

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

13x + 2 + 5x - 7 + 3x - 4 = 180 , that is

21x - 9 = 180 ( add 9 to both sides )

21x = 189 ( divide both sides by 21 )

x = 9

Answer:

your answer is 80 degree .

because of angle sum propert

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Answer:

Angle ACE=80º

Step-by-step explanation:

Since the angles ACD and ACE are supplementary (meaning they form a straight line or 180º when added up) we know that the sum of those angles is 180º.

If ACD + ACE = 180 and ACD =100

then, 100 + ACE =180 and by subtracting we find that ∠ACE=80º.

Answer: y -5 i did the math on my paper thanks and i hope this helps

Step-by-step explanation:

Answer:

y -5

Step-by-step explanation:

I have also did this and I think this was my answer

Answer:

\( = \frac{2.408 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 4\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

2.408 x 10²⁴  divided by 6.02 x 10²³ is 4

A division is a process of splitting a specific amount into equal parts.

We have to divide 2.408 x 10²⁴ by  6.02 x 10²³

Two point four zero eight into ten to the power of twenty four by six point zero two into ten to the power of twenty three.

2.408 x 10²⁴/6.02 x 10²³

Firstly let us divide the decimal numbers

0.4×10²⁴/10²³

The exponential digit in denomiantor turns to negative numerator

0.4×10²⁴⁻²³

Zero point four into ten

0.4×10

4

Hence we get four when we divide 2.408 x 10^24 by 6.02 x 10^23

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Answer: Coordinate Plane or Cartesian Plane. A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis. x axis. the horizontal axis in a coordinate plane. y axis.

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The difference of the x-coordinate of point A and the x-coordinate of point B is 0

The coordinate of a point on an xy-plane is written in the form (x, y). The given figures are circles A and B where the circle A is greater than circle B.

The position of the dots in both sides are positioned at the centre and as such the coordinate point at the centre of both circle will be the origin (0, 0)

According to the question, we are to find the difference of the x-coordinate of point A and the x-coordinate of point B

x-coordinate of pint A = 0

x-coordinate of point B = 0

Take the difference

Difference = 0 - 0

Difference = 0

Hence the difference of the x-coordinate of point A and the x-coordinate of point B is 0

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Answer:

1226778109

Step-by-step explanation:

To find the function to which the given series converges, we can rewrite it as a power series. The series is:

x - x^5 + x^5 + x^6 - x^2 + 28 - x^8 - x^9

We can simplify this by grouping like terms:

(x - x^5) + (x^5 + x^6) - x^2 + 28 - (x^8 + x^9)

Now, we can express each term as a power series:x(1 - x^4) + x^5(1 + x) - x^2 + 28 - x^8(1 + x)

Expanding each term further:

x - x^5 + x^6 + x^6 + x^7 - x^2 + 28 - x^8 - x^8

Combining like terms:

x + x^6 + x^7 - x^2 + 28 - 2x^8 - x^5

This power series represents the function to which the given series converges within its interval of convergence.

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The ratio of a to be is expressed as a/b or a:b

Given that Emma drew 11 hearts and 20 cycles, the ratio of circles to hearts would be

20/11

Looking at the above ratio, there are no common factors. This means that it cannot be simplified further. Therefore, the ratio of circles to hearts in simplified form is

20/11

Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

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