Solve for x<br> If you don’t know how to do it don’t answer

Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'

Virty [35]

Scale factor is a ratio. The correct option is C.

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

$\rm 1\: ft : \dfrac{s}{k}\: in.$

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

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8 0

2 years ago

Charlie bought 40 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.95 oz for each muffin. How many muf

Furkat [3]

Division is one of the four fundamental arithmetic operations. With the leftover flour of 7.45oz, charlie can make approximately 8 muffins.

<h3>What is Division?</h3>

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A.) The total flour Charlie has was 40 oz, out of this he used 18.3 oz of flour. The amount of flour left now would be 21.7 (40-18.3).

Since a single muffin uses 0.95 oz of flour, therefore, the number of muffins Charlie made will be,

Number of muffins = 21.7/0.95 = 22.84 ≈ 23 muffins

B.) When Charlie had 7.45 oz of flour leftover, then the number of muffins would be,

Number of muffins = 7.45/0.95 = 7.84 ≈ 8 muffins

Hence, with the leftover flour of 7.45oz charlie can make approximately 8 muffins.

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8 0

2 years ago

Rihanna must put a five dollar deposit down to buy a necklace. If P where presents the full price of the necklace which expressi

natta225 [31]

Answer:

<em>The expression is </em><em>P - 5</em>

Step-by-step explanation:

Rihanna already made a deposit of $5 to buy the necklace (given)

Full price of necklace = P

Let m = how much Rihanna has left to pay

Full price of necklace = amount paid + amount left to pay

= 5 + m

So we equate the two full necklace prices

5 + m = P

m = P - 5

Therefore, the amount Rihanna owes before tax = P - 5

6 0

3 years ago

Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns

DaniilM [7]

9514 1404 393

Answer:

Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

__

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

d² = 100² +50² -2·100·50·cos(180° -T)

d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

3 0

3 years ago

There are 6 3/4 cups of lemonade at a picnic. The lemonade is split evenly among the people at the picnic. Each person gets 3/4

Elza [17]

There a total 9 people

3 0

3 years ago

Solve for x If you don’t know how to do it don’t answer