Factor the expression completely
54a⁶b²+ 9ab²

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Answer:

3 pages per minute

75÷25

Answer:

3 pages in 1 minute

Step-by-step explanation:

75/25=3

Answer: $131.7

Step-by-step explanation:

Use the equation 439(n)

n will be 0.30 in this case

now multiply them

439(0.30)

Your answer will be

$131.7

Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The distance between  Georgetown and clayton on the scale model  is 2 inches.

In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.

The distance between Georgetown and clayton on a map with a scale of 1 inches: 14 miles can be found as follows;

They are actually 28 miles.

Therefore,

14 miles = 1 inches

28 miles = ?

cross multiply

distance between Georgetown and clayton on the scale model = 28 / 14

distance between Georgetown and clayton on the scale model = 2 inches

Therefore, the distance on the scale model is 2 inches.

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If Joan has a square flower bed with a side length of 4 meters filled with tulips, the density of tulips in the bed is 22.1 tulips per square meter.

To find the density of tulips for the area of the bed, we need to divide the total number of tulips by the area of the bed. The area of the square flower bed is the side length squared, so in this case, it is 4 meters x 4 meters = 16 square meters.

So, the density of tulips in the bed is 354/16 ≈ 22.1 tulips per square meter. This means that there are approximately 22.1 tulips growing in every square meter of the flower bed.

The density is a measure of the amount of something per unit of space, so in this case, it is the number of tulips per square meter. It is a useful metric for understanding how many of something is present in a given area, which can be important for planning and management purposes.

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The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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The data in the table represents a linear function, as when x is increased by one, y is subtracted by a constant amount of 9.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For this problem, the function is classified as linear, as the difference between consecutive terms is 9, while the ratios are different.

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Answer:do homework

Step-by-step explanation:

Answer:

I am pretty sure the answer would be $107.31. Sorry if I'm wrong.

Step-by-step explanation:

First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.

45.99 / 3 = 15.33

15.33 x 7 = 107.31

Answer:

r = 5.63 cm

Step-by-step explanation:

Given that,

The area of a circle, A = 99.88 cm²

We need to find the radius of the circle. We know that, the area of a circle is given by :

\(A=\pi r^2\\\\r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{99.88}{\pi}} \\\\r=5.63\ cm\)

So, the radius of circle is 5.63 cm.

There are 720 Permutations that can be made with the word "column."

The number of permutations that can be made with the word "column," we need to consider the arrangement of the letters in the word.

The word "column" has 6 letters. When calculating permutations, we need to consider that the order of the letters matters.

In this case, we have 6 options for the first letter, 5 options for the second letter, 4 options for the third letter, 3 options for the fourth letter, 2 options for the fifth letter, and 1 option for the last letter.

To find the total number of permutations, we multiply the number of options for each letter:

6 * 5 * 4 * 3 * 2 * 1 = 720.

Therefore, there are 720 permutations that can be made with the word "column."

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Answer:

you might have to post a pic of the question

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

C = 37.7

r = 6

Length - 0.740

Ok thanks for the points!

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

hope this helps!

Answer:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

Step-by-step explanation:

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Answer:

10,404/334,084

Step-by-step explanation:

Given the polynomial

289r^2 - 102r + c

We are to find the value of c that will make it a perfect square

Divide through by 289

289r²/289 - 102r/289 + c/289

Half of the coefficient of r is 1/2(102/289)

Half of the coefficient of r = 102/578

Square the result

r² = (102/578)²

r² = 10,404/334,084

Hence the required constant is 10,404/334,084

Answer:The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Step-by-step explanation:

By paying off the higher interest card first, we save $1932 - $1579 = $353 in interest charges over the course of 56 months.

The conventional method is to pay off the credit card with the highest interest rate first if we have two credit cards with differing interest rates. We can figure out how much money we save by reworking the issue to pay off the card with the lowest interest rate first.

Consider that we have two credit cards: Card A, which has a $5,000 debt and a 15% interest rate, and Card B, which has a balance of $3,000 and a 10% interest rate. We can save money by lowering the interest paid on Card B while still making minimum payments on Card A if we pay that card off first.

It would take us around 22 months to pay off Card B and 36 months to pay off Card A if we made the minimum payments of $300 on Card B and $150 on Card A each month. We would pay interest on Card A in total of $1932 and Card B in total of $386 throughout this time.

Instead, if we pay off Card A first, we would devote the remaining $300 to Card A until it is completely paid off while continuing to make the minimum payments on Card B. We would need around 24 and 32 months, respectively, to pay off Card A and Card B. We would pay interest on Card A for a total of $1579 and Card B for a total of $282 during this time.

We therefore save $1932 - $1579 = $353 in interest fees over the course of 56 months by paying off the higher rate card sooner.

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The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Answer:

3x+8=20

Step-by-step explanation:

take 8 and minus 8 from both sides then divide 12 by 3x

Step-by-step explanation:

the eight will go another side 8 sign is + after going to another side it changes into minus

Answer:

30ft.

your welcome. ...................

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)