Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

Answers

Answer 1
Answer: To get the perimeter of the quadrilateral, the distance formula can be used. We simply have to subtract the y coordinate of one point to another and the same for the x coordinate. The square root of the sum of the squares of the difference is the distance.The results can then be added to get the perimeter. So,
CF = sqrt ( (2-(-1))^2 + (-1-(-2))^2 ) = sqrt(10)
FE = sqrt ( (-2-1)^2 + (2-1)^2 ) = sqrt(10)
ED = sqrt ( (-1-(-2))^2 + (-2-2)^2 ) = sqrt(17)
DC = sqrt ( (2-(-1)^2 + (-1-(-2))^2 ) = sqrt(10)

P = CF + FE + ED + DC = sqrt(10) + sqrt(10) + sqrt(17) + sqrt(10) = 13.61

Answer 2
Answer:

Answer: The answer is 12.68 units.

Step-by-step explanation:


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What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2

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The\ slope-intercept\ form:y=mx+b\n\ny-intercept\ is\ 2\ then\ y=mx+2\n\nThe\ point\ (1;\ 1)\to substitute\ x=1\ and\ y=1:\n\nm\cdot1+2=1\nm+2=1\nm=1-2\nm=-1\n\nFinish:y=-1x+2\to y=-x+2\n\nGeneral\ form:x+y-2=0

A​ salesperson's ratio of successful signups to the number of people called is 0.875. This​ month, the salesperson had 35 signups. How many people did the salesperson call this​ month?I need this quick

Answers

The answer is 37.7 or 38 if it has to be rounded
33 divided by 0.875

Need Help Fast plsss

Answers

Answer:

The answer should be B.) 2yw+y-1

Step-by-step explanation:

For this equation you:

  1. multiply both sides by y
  2. Add -2 by both sides.
  3. Divide both sides by 2.

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off

Answers

The right answer for the question that is being asked and shown above is that: "A: Sale of 10% off and a successive discount of 10% off." The store that would let you pay the least amount for an item that is priced $360 is the Store A.

The correct answer is Store A: Sale of 10% off and a successive discount of 10% off.

Further explanation:

Discount is the reduction of amount in the cost price of any item.

The following formula for discount can be used when the rate of discount and the cost price is given.

\boxed{{\text{Discount}}=\left( {\frac{{{\text{rate of discount}}}}{{100}}}\right)*{\text{cost price}}}

The following formula for selling price can be used when the discount and the cost priceis given.

\boxed{{\text{Selling price}}={\text{Cost price}}-{\text{Discount}}}

Given:

The price of an item is \boxed{\$360}.

Calculation:

Store A is allowing 10% off and then allowing a successive discount of 10%.

The first discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)* 360\n&= 36\n\end{aligned}

Now, the selling price after allowing the first discount is,

\begin{aligned}{\text{Selling price}}&={\text{360}}-36\n&=324\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)*324\n&=32.4\n\end{aligned}

Now, the selling price after allowing second discount is,

\begin{aligned}{\text{Selling price}}&={\text{324}}-32.4\n&=291.6\n\end{aligned}

Therefore, the amount we have to pay to Store A is \boxed{\$291.6}.

Store B is giving 15% off with no additional discount.

The discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{15}}{{100}}}\right)*360\n&=54\n\end{aligned}

Now, the selling price after allowing discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-54\n&=306\n\end{aligned}

Therefore, the amount we have to pay to Store B is \boxed{\$306}.

Store C is giving $35 off and then allowing a successive discount of  10%.

Now, the selling price after allowing first discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-35\n&=325\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{gathered}{\text{discount}}=\left( {\frac{{10}}{{100}}}\right)*325\n=32.5\n\end{gathered}

Now, the selling price after deducting second discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{325}}-32.5\n&=292.5\n\end{aligned}

Therefore, the amount we have to pay to Store C is \boxed{\$292.5}.

It can be clearly seen that if we buy an item which is priced at $360 from Store A then we have to pay least amount of $291.6.

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3. Learn more about the word problem for magnitude of the acceleration brainly.com/question/1597065

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Profit and Loss

Keywords: Percentage , profit , loss, discount, cost price, selling price, marked price, rate of discount, amount, succesive discount, reduction, maximum, price .

3 tbsp mayonnaise is how many servings of oil?

Answers

Answer:126 grams

Step-by-step explanation:

If 5 beads weigh 30 grams, how many beads weigh 48 grams?

Answers


if 5 grams weigh 30 then each gram weigh 6 grams 5x6=30 so 48 grams would weigh 8 48x8=384
A single bead weighs 6 grams, so 8 beads would weigh 48 grams.