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SCORPION-xisa [38]
2 years ago
10

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of

the diagonal of the garden? Round to the nearest tenth.
Mathematics
1 answer:
Allushta [10]2 years ago
8 0

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with four sides and four vertices  each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (4.3)^{2} + (4.6)^{2}

(diagonal)^{2} = 39.7

diagonal = \sqrt{39.7} = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

Learn more about quadrilateral: brainly.com/question/23935806

#SPJ1

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                                                           Part A)

Given

  • Slope m = 6
  • Point (7, 2)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = 6
  • (x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = 6(x-7)

Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

y - 2 = 6(x-7)

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = -3
  • (x₁, y₁) = (3, 8)

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 8 = -3(x-3)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

y - 8 = -3(x-3)        

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Find the distance between Laurel and Delmar if they are 9 cm apart on a map with a scale of 1 cm : 18 km.
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If the ratio is 1:18, and we need to know how the other side for the ration 9:?, then we have to multiply 9x18.

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so Laurel and Delmar are 162 km away

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Answer:

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S=6(12^{2})=864\ in^{2}


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