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Mrac [35]
1 year ago
6

George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so

that the image of the window is 12 foot tall and 14 foot wide. What is the ratio of the area of window to the area of the image of the window?
Mathematics
1 answer:
Snowcat [4.5K]1 year ago
3 0

Answer:

A':A = 1742:7

Step-by-step explanation:

Applying,

A' = L'W'............... Equation 1

Where A' = Area of the window, L' = Length of the window, W' = Width of the window.

From the question,

Given: L' = 312 ft, W' = 134 ft

A' = (312×134)

A' = 41808 ft²

Similarly,

A = LW.................. Equation 2

Where A = Area of the image of the window, L and W is thw length and width of the image of the window

Given: L = 12 ft, W = 14 ft

Therefore,

A = 12×14

A = 168 ft²

Therefore the ratio of A' to A = 41808:168 = 1742:7

A':A = 1742:7

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Jimmy and Dan each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Jimmy spe
IrinaVladis [17]

Answer:

Cost of one daylily = $9

Cost of one pot of ivy = $7

Step-by-step explanation:

Let,

x be the cost of each daylily

y be the cost of each ivy

According to given statement;

14x+7y=161     Eqn 1

2x+14y=88     Eqn 2

Multiplying Eqn 1 by 2

2(14x+7y=161)

28x+14y=322    Eqn 3

Subtracting Eqn 2 from Eqn 3

(28x+14y)-(2x+14y)=322-88

28x+14y-2x-14y=234

26x=234

Dividing both sides by 26

\frac{26x}{26}=\frac{234}{26}\\x=9

Putting x=9 in Eqn 1

14(9) + 7y = 161

126 + 7y = 161

7y = 161 - 126

7y = 35

Dividing both sides by 7

\frac{7y}{7}=\frac{35}{7}\\y=5

Hence,

Cost of one daylily = $9

Cost of one pot of ivy = $7

6 0
1 year ago
The larger the two numbers is one more than four times the small number. if the sum of the numbers is 106,find the two numbers ​
Novosadov [1.4K]

Answer:

Smaller no. = 21

Larger no. = 85

Step-by-step explanation:

Smaller no. = y

Larger no. = 4y + 1

y + (4y + 1) = 106

y + 4y + 1 = 106

5y + 1 = 106

5y = 106 - 1

5y = 105

y = 105/5

y = 21

Smaller no. = y = 21

Larger no. = 4y + 1 = 4×21 + 1 = 84 + 1 = 85

6 0
1 year ago
Price is $166.30 she has $7.08 how much more is needed
alexdok [17]
Subtract $7.08 from $166.30 = $159.22
8 0
1 year ago
Read 2 more answers
2)<br> 91<br> A=<br> 15<br> a-<br> p-<br> pls<br> help<br> thank<br> you
crimeas [40]

Answer:

A = bh

A = 15 x 6

A = 90 square units

sin90° = hypotenuse/opposite

hypotenuse = sin90° x opposite

hypotenuse =  sin90 x 6

h = 5.36

Perimeter = 2a + 2b

                 = 2 (5.36) + 2 (15)

                 = 10.72 + 30

                 = 40.72

6 0
1 year ago
Select the correct answer.
AlladinOne [14]
It is graph w because it starts at a price of 40 and goes up by 20 every hour.
5 0
1 year ago
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