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4 years ago

PART A

Mathematics

1 answer:

Solnce55 [7]4 years ago

4 0

Answer:

Perimeter = 28.84 m

Step-by-step explanation:

Since the other two points will make the shape to look like a square, each length of the square will be equal.

We can therefore find the length PQ by using the formula

L = sqrt ( [ X2 - X1 ]^2 + [ Y2 - Y1 ]^2

L = sqrt( [ -2 + 4 ]^2 + [ 4 + 3]^2

L = sqrt (4 + 49)

L = sqrt (52)

L = 7.2 m

Each length of the square is 7.2 m approximately

The parimeters will be:

Perimeter = 4L

Perimeter = 4 × 7.2

Perimeter = 28.84 metres

Therefore, the perimeter of the square is 28.84

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Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years. The sales manage

lord [1]

Answer:

Step-by-step explanation:

Given the data:

Year___Actual sale (At) ___forecast(Ft)

2005__450_____________410

2006__495____________ 422

2007__518____________ 443.9

2008_ 563____________ 466.1

2009_584____________ 495.2

2010__

Using the formula :

Ft = Ft-1 + alpha(At-1 - Ft-1)

Ft-1 = previous year forecast

At-1 = previous year actual

Alpha = 0.3

Forecast:

2006:

410 + 0.3(450 - 410) = 422.0

2007:

422 + 0.3(495 - 422) = 443.9

2008:

443.9 + 0.3(518 - 443.9) = 466.1

2009:

466.1 + 0.3(563 - 466.1) = 495.2

2010:

495.2 + 0.3(584 - 495.2) = 521.8

Forecasted value for 2010 = 521.8

7 0

4 years ago

Can anyone share the process please?

gtnhenbr [62]

Answer:

3x³ + x² + x + 1

= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6

= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6

= (x - 1)(3x² + 4x + 5) + 6

but 3x³ + x² + x + 1 = (x - 1).Q(x) + R

=> Q(x) = 3x² + 4x + 5

R = 6

4 0

3 years ago

Find the area of the triangle.

pentagon [3]

The correct anwser is 12

5 0

4 years ago

Naomi had $80 she bought 7 equally priced books and had $17 left how much did each book cost

xxTIMURxx [149]

Answer:

9 dollars

Step-by-step explanation:

$80 - $17 = 63

63/ 7= $9

5 0

3 years ago

Read 2 more answers

The price elasticity of demand for good X is half the price elasticity of Good Y. A 20% rise in the price of good X results in a

Keith_Richards [23]

The answer is

60% rise in quantity demanded of good x.

Explanation:

Percentage change in quantity demanded for good Y:

= (Change in Quantity ÷ Initial Quantity) × 100

= (60 units ÷ 400 units) × 100

= 15%

Percentage change in price of good Y = 10% Rise

Therefore, the price elasticity of demand for Good Y is as follows:

= Percentage change in Quantity demanded ÷ Percentage change in price

= 15 ÷ 10

= 1.5

Hence,

Price elasticity of demand of good x:

= 2 × price elasticity of demand of good y

= 2 × 1.5

= 3

Percentage change in price of good x:

= (Change in price ÷ Initial price) × 100

= (2 ÷ 10) × 100

= 20%

Therefore,

Price elasticity of demand for Good x = Percentage change in Quantity demanded ÷ Percentage change in price

3 = Percentage change in Quantity demanded ÷ 20

3 × 20 = Percentage change in Quantity demanded

60% = Percentage change in Quantity demanded for good x

Hence, 60% rise in quantity demanded of good x.

7 0

3 years ago