What is the removable discontinuity

Answer:

14.2 feet

Step-by-step explanation:

I rounded off to 1 decimal place

The length of the base of triangle in the given case is 14.28 feet.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The diagram for the given problem can be shown below,

Here, AB = AC = 10 feet and AD = 7 feet.

Apply pythagoras theorem in ΔABD to get,

AD² + BD² = AB²

Substitute the corresponding values to obtain,

BD² = 10² - 7²

⇒ BD = 7.14

Now, CB = 2 × BD

⇒ CB = 2 × 7.14 = 14.28

Hence, the length of the base is given as 14.28 feet.

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Answer:

18/25

25/25 - 7/25 = 18/25

It is simplified

Step-by-step explanation:

Answer:

It would take 1 hr, 7 min, 30 sec for the newer printer to work alone.

Step-by-step explanation:

x/1.5=45

45*1.5=67.5 minutes

67.5 minutes = 1 hr, 7 min, 30 sec

Final answer:

The time it would take for the new printer working alone to print a batch of newsletters is 67.5 minutes. This is determined by setting up an equation based on the combined work rates of the new and old printers.

Explanation:

The student is asking how long it would take for a new printer, which can print twice as fast as an older printer, to complete printing a batch of newsletters on its own if both printers can finish the task together in 45 minutes. This question involves setting up and solving a problem related to rates of work.

Let's denote the time it takes for the new printer to print the newsletters alone as T minutes. Since the new printer works twice as fast as the old printer, the old printer would take 2T minutes to do the job alone. When working together, they can finish the task in 45 minutes.

We can set up the equation based on their combined work rates like this:
1/T (new printer's rate) + 1/(2T) (old printer's rate) = 1/45 (combined rate).

Let's solve for T:

Calculate the combined rate of the printers: 1/T + 1/(2T) = 1/45

Combine the fractions on the left side: (2 + 1) / 2T = 1/45

Simplify the fraction to get a common denominator: 3 / 2T = 1/45

Cross-multiply to solve for T: 3 * 45 = 2T

Calculate T: 135 = 2T

Divide both sides by 2: T = 135 / 2

Finish solving: T = 67.5

Therefore, the new printer working alone would take 67.5 minutes to print the batch of newsletters.

Answer & Step-by-step explanation:

In order to solve for x, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Instead of using the original formula, we will rearrange the formula so we can find the missing side, b, which will represent x.

[tex]b^2=c^2-a^2[/tex]

Now, lets plug in our numbers.

[tex]b^2=120^2-76^2\\b^2=14400-5776\\b^2=8624\\\sqrt{b^2} =\sqrt{8624}\\ b=92.87[/tex]

So, x equals 92.87

Now, lets find y. Since we did the Pythagorean Theorem, this shows that the triangle is a right triangle. So, that means we already know the measurements of two angles which will help us find y.

180 - (35 + 90)

180 - 125

55

So, y equals 55

Answer:

0.98

Step-by-step explanation:

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.13 + 0.85 - 0

P(A or B) = 0.98

Note that P(A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.

Answer:

B and C

Step-by-step explanation:

Answer:

X-2=J x 4 = B Two years ago

J + 6 = B now

Step-by-step explanation:

Answer:

60

Step-by-step explanation:30+30

Answer:

I think this is 120.

Answer:

The answer is D.(y-1)^2/64 - (x-3)^2/64=1

Step-by-step explanation:

I just took that quiz on edge, sorry if im late

Answer:

24/121, the 2nd choice on edg

Step-by-step explanation:

4/11 times 6/11 so that becomes 24/121

Answer:

24/121

Step-by-step explanation:

Answer:

x = 2

y = -8

Step-by-step explanation:

Since it already gives you x, all you need to do is plug it into the equation:

5x + 4y = -22

5(2) + 4y = -22

10 + 4y = -22

Then, subtract 10 from both sides:

10 + 4y = -22

- 10         - 10

__________

4y = -32

Finally, divide both sides by 4:

4y = -32

y = -8

So now you have, x = 2 and y = -8

Answer:

X=2

5x +4y= -22

5(2)+4y = -22

10+4y= -22

4y= -22-10

4y= -32

Y= -8

The answers are :

X = 2

Y = -8

Step-by-step explanation:

Answer:

3,655.21

Step-by-step explanation:

The amount that Larry owes on his debt after 2 years is $20,514.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

Given information is for monthly compounding as below,

The accumulated money in credit card is, P = $3000.

The rate of interest is 10% per year.

Then, the rate of interest per month is, r = 10/12 = 5/6%.

The time for compounding in years is 2 years.

Then in months, n = 2 × 12 = 24 months.

The formula for amount in compound interest is given as,

A = P(1 + r/100)ⁿ

Substitute the corresponding values to get,

A = 3000(1 + (5/6)/100)²⁴

   = 3000 × 6.838

   = 20514

Hence, the amount owed by Larry on the debt after 2 years is $20,514.

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Answer:

100

Step-by-step explanation:

just took the test

The caller must consider 10 possibilities for each of the two unknown digits in the 4-digit extension. Since the first and last digits are confirmed as 5, there are 10 x 10 = 100 possible extensions they might have to try.

To calculate the number of possible extensions the caller might have to try, we can look at the structure of the 4-digit extension. Given that the first and last digits are known to be 5, the caller is unsure about the second and third digits.

Each of the unknown digits can be any number from 0 to 9. Since there are 10 possibilities for each of these two positions (the second and third digits), to find the total number of combinations, we multiply the possibilities for each digit.

The calculation is as follows:
Number of possibilities for the second digit = 10 (0-9)
Number of possibilities for the third digit = 10 (0-9)

Therefore, the total number of possible extensions is:
10 (possibilities for the second digit)  imes 10 (possibilities for the third digit) = 100 possible extensions.

Answer: Albert's gross pay for this pay period is $384.75

Step-by-step explanation:

Given : Albert's hourly pay is $8.10

His hourly pay is $12.15 when he work more than 40 hours

Last week working hours = 45 hours

Therefore

For first 40 hours he got $8.10 hourly and for more 5 hours he got  $12.15 hourly

So

Pay of first 40 hours = [tex]40 \times 8.10[/tex] = $324

Pay for next 5 hours= [tex]5 \times 12.15[/tex] = $ 60.75

Total Gross pay =  $324+$ 60.75 =$384.75

Hence , Albert's gross pay for this pay period is $384.75

Answer: 5

Step by Step Explanation:

Answer:

0.8 miles

Step-by-step explanation:

multiply 0.4 by 2

Answer: 0.8

Step-by-step explanation:

times it by 2

Answer:

6 rolls of paper is needed to cover the living room

The cost of the 6 rolls is $95.40

Step-by-step explanation:

There are four walls here, two 12 ft by 9ft walls, and two 18 ft by 9ft walls

Area of a rectangle = length * height

Area of walls 1&3 = 18 * 9 = 162 [tex]ft^{2}[/tex]

Area of walls 2&4 = 12 * 9 = 108 [tex]ft^{2}[/tex]

Total area of walls = 162 + 108 = 270 [tex]ft^{2}[/tex]

One roll for every 50 [tex]ft^{2}[/tex]

270 ÷ 50 = 5.4 rolls

Since you cant buy 0.4 rolls of wallpaper, you need to buy one whole roll instead

6 rolls of paper is needed to cover the living room

One roll costs $15.90

6 rolls * 15.90 = $95.40

Answer:

99

Step-by-step explanation:

So first, we have to find 4% of 13.29.

13.29*0.04=0.5316, or rounding is 0.53.

Now add 0.53 and 13.29=13.82

I hope this helps.

Answer:

A. Perpendicular

Step-by-step explanation:

When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.

So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.

It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.

Answer:

The answer is 923.6 cm

Answer:

Answer is A

Step-by-step explanation:

A rebate is a reduction in the price of a vehicle generally offered by the manufacturer.

Option A is the correct answer.

A rebate is a type of incentive offered by a seller or manufacturer to encourage customers to purchase their products.

It is a partial refund of the purchase price that is offered to the customer after the sale has been made.

We have,

A rebate is a type of incentive that is offered by the manufacturer to the customer.

It is a refund of a portion of the purchase price of a product, in this case, a vehicle.

The rebate amount can vary based on the make and model of the vehicle, the time of year, and other factors.

Rebates are usually offered in the form of a check or a discount on the purchase price of the vehicle.

Cashback and special APR financing are also incentives that are commonly offered by car manufacturers, but they do not directly reduce the purchase price of the vehicle.

Cashback is usually a cash incentive that is given to the customer after the purchase of the vehicle, while special APR financing is a promotional interest rate offered on the car loan.

Dealer promotions are also common, but they are not typically offered by the manufacturer, and they may or may not involve a price reduction.

Thus,

A rebate is a reduction in the price of a vehicle generally offered by the manufacturer.

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Answer:

4 cups, 3 ounces

Explanation:

The equation y = ax^2+bx+c has the value of 'a' determine how wide or narrow the graph is. The closer 'a' is to zero, then the wider it gets; while the further 'a' is from 0, the narrower it gets.

What we need to do is look for equations in which the 'a' value is furthest from 0. In this case, it's with y = -10x^2 since a = -10 is furthest from zero compared to a = -0.9 and a = 9. Set up a number line to help see this. You can also use absolute values to get the job as well.

Therefore, y = -10x^2 has the most narrowest graph.

The statements A and D are true.

Based on the diagram, here are the true statements:

A. measure of angle EDF=53 degrees:

This is true because angle EDF and angle CDE are supplementary angles, meaning they add up to 180 degrees.

Since we're given that measure of angle CDE=127 degrees, we can find measure of angle EDF by subtracting 127 from 180:

measure of angle EDF = 180 degrees - 127 degrees = 53 degrees.

D. measure of angle GAE=53 degrees:

This is true because angle EDF and angle GAE are corresponding angles.

Corresponding angles are pairs of angles that are on opposite sides of a transversal and that share a common endpoint with the transversal.

They are equal in measure.

Since we've already determined that measure of angle EDF=53 degrees, we can conclude that measure of angle GAE=53 degrees as well.

Therefore, the statements A and D are true.

the answer would be 11 out of 30 because there is 11 boys in total and the total of boys and girls is 30 so the answer is 11 out of 30

The probability that a randomly selected person who can bike to school is a boy is 7/16 or 0.4375, which means there is a 43.75% chance that the person is a boy.

To determine the probability that a randomly selected person who can ride a bike to school is a boy, we will use the provided data.

Looking at the data table, we can see there are 7 boys who can bike to school, and the total number of students who can bike to school is 16 (this is the sum of boys and girls who can bike). In probability terms, the boys who can bike are the 'favorable outcomes' and the total students who can bike are the 'possible outcomes'.

Probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes. Thus, the probability a randomly selected person can ride a bike to school is a boy is 7/16, or approximately 0.4375.

This means, if we were to randomly select a person who can bike to school, there is a 43.75% chance that the person is a boy. I hope this explanation helps explain how to determine probability using a data set.

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Answer:

The employee's action is not following the instructions.

Step-by-step explanation:

The drinks table has some recommendations to make some drinks exclusive to the establishment such as the Large Frapuccino or the Small Chai Tea, which in its first line corresponding to the Large Frapuccino specifies that at least 8 ounces of coffee should be used, which it wants to say is the minimum amount of coffee that can be added to it is 8 ounces, and the value could be higher than that, but never lower, which is why by adding only 6 ounces to the Frapuccino you are totally ignoring the instructions.