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tangare [24]
3 years ago
14

Ratio and simplify the ratio helpp​

Mathematics
1 answer:
drek231 [11]3 years ago
8 0
1: -4/1
2: 1/2
3: 1/4
4: -4/1

I hope those r the correct answers
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A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He
Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

A'(x)=\frac{d}{dx}(80x-2x^{2})

             = 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = \frac{80}{4}

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

         = 1600 - 800

         = 800 square feet

Maximum area of the patio is 800 square feet.

7 0
3 years ago
Find the missing value. Show your work .
Irina18 [472]
Use SOHCAHTOA
sin(51)=y/12
sin(51) (12)=y
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5 0
3 years ago
Joyce paid 180$ for an item at the store that was 20 percent of the original price. What was the original price
Natasha_Volkova [10]

Answer:

$900

Step-by-step explanation:

7 0
3 years ago
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What is the vertex form of y=x^2-6x+6
andrezito [222]

Answer:

y = (x - 3)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² - 6x

Given

y = x² - 6x + 6

  = x² + 2(- 3)x + 9 - 9 + 6

  = (x - 3)² - 3 ← in vertex form

3 0
3 years ago
Read 2 more answers
What is 20kg divide by 1120
Stels [109]

Answer:

56kg

Step-by-step explanation:

This question is pretty simple. First you want to divide 1120 by 20.

This will give you the answer of 56.

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3 years ago
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