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2 years ago

9.Rectangle ABCD is located at A(1, 2, B(3, 2), C(3, 4) D(1, 4) and is rotated 90 degrees clockwise. What is the location of B'?

Mathematics

1 answer:

Oduvanchick [21]2 years ago

8 0

Answer:

B'(2, -3)

Step-by-step explanation:

Given rectangle ABCD with coordinates:

A(1, 2), B(3, 2), C(3, 4), D(1, 4)

The rectangle is rotated 90 degrees clockwise.

The rule for this rotation is:

(x, y) → (y, -x)

Point B mapped to B' as per above rule:

B(3, 2) → B'(2, -3)

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2 years ago

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You are driving in France and see the price of gasoline is 2.099 euros per liter. Use the facts below to calculate the price in

Dahasolnce [82]

Answer: $\$10.503$

Step-by-step explanation:

Knowing that the price of gasoline in France is 2.099 euros per liter, you can follow these steps in ordere to calculate the price of the gasoline in US dollars per gallon:

1. Convert 2.099 euros to US dollars:

$(2.099\ euros)(\frac{1\ US\ dollar}{0.7564\ euros})=2.774\ US\ dollars$

Then, the price in US dollars per liter is $2.774\ US\ dollars\ per\ liter$

3. Knowing that:

$1\ liter=1.0567\ quarts\\\\4\ quarts = 1\ gallon$

You can make the conversion from 1.0567 quarts to gallons:

$(1.0567\ quarts)(\frac{1\ gallon}{4\ quarts})=0.2641\ gallons$

4. Set up the following proportion:

$\frac{2.774}{0.2641}=\frac{x}{1}$

Where "x" is the the price in US dollars per gallon.

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$\frac{(2.774)(1)}{(0.2641)}=x\\\\x=10.503$

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2 years ago