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gtnhenbr [62]
3 years ago
9

An artist wishes to make a canvas in the shape of a golden rectangle. He only has enough framing material for a perimeter of 36

in. What would be the dimensions of the canvas?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0
The given here is the perimeter of the rectangle which is 36 in. The formula for a rectangle's perimeter is P(rectangle) = 2 ( w + h ) or P(rectangle) = w + w + h +h

The answer here is 7 x 11.

Check the answer by substituting.
w=7
h=11

36 in = 2 (w + h)
36 in = 2(7)+2(11)
36 in = 14 + 22
36 in = 36 
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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0
3 years ago
Complete the square and graph: 9y²−x − 18y +10=0 ​
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Answer:

See below ~

Step-by-step explanation:

Completing the square :

  • 9y² - x - 18y + 10 = 0
  • 9y² - 18y + 9 - 9 - x + 10 = 0
  • <u>(3y - 3)² - x + 1 = 0</u>

<u></u>

Graph :

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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30. The table below shows the number of ants in an ant farm on different
Nitella [24]

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day                                                  Number of Ants

1                                                                       10

11                                                                      20

21                                                                     40

31                                                                     80

41                                                                     160

<em>51                                                                    320-----------------given</em>

<em>61                                                                    640------------------given</em>

<em>71                                                                    1280----------------given</em>

81                                                                   2560

91                                                                    5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

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3 years ago
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