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tia_tia [17]
3 years ago
15

The golden ratio is a solution to a quadratic equation.

Mathematics
1 answer:
Crank3 years ago
6 0

Answer:

Below.

Step-by-step explanation:

a.    Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25)      (We only take the positive root).

Φ  = 0.5 + √(1.25)

b. I used Completing the square.

c.  Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

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The length of a rectangle is 4 less than three times it’s width. The perimeter is 72 feet. Find the dimensions of a rectangle
ratelena [41]

Answer:

Step-by-step explanation:

so let’s say x is the length.  Then the width will be 3x-4.  You add them together and multiply by two.  The perimeter is 72 so the equation equala 72.

Equation:

(x+3x-4)*2=72

(4x-4)*2=72

8x-8=72

8x=80

x=10

length:10

width:26

6 0
3 years ago
Can someone please help me with this question thank you
netineya [11]

Answer:

The answers are C,F

Step-by-step explanation:

Those are the coordinates where the lines intercept the x-axis.

3 0
3 years ago
PLEASE HELP!!!
Salsk061 [2.6K]
Triangular
I think that it
4 0
2 years ago
HELP ME OUT PLEASE!
atroni [7]

Answer:

6.85 × 10⁷

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 68,500,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 68,500,000

New Number: 6.8500000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:6.8500000Decimal Count:1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.85 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

6.85 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.85 = 68,500,000

6 0
2 years ago
You ask 125 randomly chosen students to name their favorite food. There are 1500 students in the school. Predict the number of s
jasenka [17]
1500-125=1,375
so 1375 should be your answer.

8 0
3 years ago
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