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Oduvanchick [21]
2 years ago
7

5. In this diagram, lines AC and DE are parallel,

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
8 0

The length of side DE is 3cm

<h2 /><h3>Parallel line</h3>

Since the line AC is equivalent to DE, hence AC = DE

To get the length of DE, we will need to get the length oF AC using the Pythagoras theorem:

Given the following parameters

Hypotenuse = 5

Opposite = 4

Required

Adjacent side

Substitute the given parameters into the formula of Pythagoras theorem.

AC² = 5² - 4²

AC² = 25 - 16

AC² = 9

AC = 3

Hence the length of side DE is 3cm

Learn more on Pythagoras theorem here: brainly.com/question/12306722

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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. F
KIM [24]

To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.

The area of the field is equal to 8719.36m^2

<h3>Area of the Field</h3>

Let us start by finding the area of the rectangle.

Data;

  • width = 86m
  • length = 64m

Area of a rectangle is given as

a = length * width \\a = 86 * 64\\a = 5504m^2\\

The area of the rectangle is 5504m^2

Area of the semicircle

The formula of a semi circle is given as

A = \frac{1}{2} \pi r^2

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2

But in the question, we have the diameter of the semi circle as the length of the rectangle.

radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m

The radius of the semicircle is 32m

Area of the semicircle is

A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2

The area of the field is

area of field = 3215.36 + 5504\\area = 8719.36m^2

The area of the field is equal to 8719.36m^2

Learn more on area of rectangle and semi circle here;

brainly.com/question/2906652

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7 0
2 years ago
Sheila got 87% of the problem correct. Patrick got 91/100 correct. Who scored higher?
Zolol [24]

Answer:

Patrick scored higher

Step-by-step explanation:

Shelia percentage is 87%

Patrick percentage is 91%

3 0
3 years ago
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Answer:

5/12

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Answer: the "m" value (if using y=mx+b) will have" x" as an exponent

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3 years ago
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Math question down below
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The answer is c, 30/7
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