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k0ka [10]
3 years ago
6

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. Which rule d

escribes this transformation?
Mathematics
1 answer:
saw5 [17]3 years ago
3 0

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

If a point A(x, y) is translated a units left and b units up. the new point is at A'(x - a, y + b)

Given Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. The rule is given by:

(x, y)→(x - 4, y + 5)

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

Find out more on Transformation at: brainly.com/question/1462871

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a debt of $6000 due today is to be settled by two payments due three months from now and 9 months from now respectively . what i
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Answer:

$4194.39

Step-by-step explanation:

Two equal payments one after 3 months and another after 9 months respectively are used to settle a debt of $6000 due today.

We have to calculate the size of the equal payments at 6% compounded quarterly.

Let the amount be $x.

So, $(x + x) = $2x will be the total sum after interest.

Therefore, $6000 will be charged for 3 months at 6% interest quarterly and $(6000 - x) will be charged for (9 - 3) = 6 months at 6% interest quarterly.

The equation we can write is  

6000 (1 + \frac{6}{100} )^{1} + (6000 - x)(1 + \frac{6}{100} )^{2} = 2x

⇒ 6000 × 1.06 + ( 6000 - x)(1.1236) = 2x

⇒ 3.1236x = 6000 × 2.1836

⇒ x = $4194.39 (Answer)

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Whats is 8+7 using double minus
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Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion
worty [1.4K]

Full question:

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)

Answer and explanation:

Peak rate= 8 billion gallons per day

7.5 gallons = 1 cubic feet

Given that

8 billion gallons= 24 hrs

And 24 hrs = 86400 seconds

8 billion gallons =86400 seconds

In one second =8000,000,000/86400

= 92,592.593 gallons

Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets

Therefore the flow rate in cubic feet per second = 12345.68 cubic feets

If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river

B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet

And 1 mile = 5280 feet

1 square mile = 27878400 square feet

8 square miles = 8 × 27878400 = 223027200 square feet

To calculate the height,

The number of foot by which the water level rose in one day is

1066666752/223027200 = 4.7826 feet per day

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3 years ago
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