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chubhunter [2.5K]
3 years ago
10

Type the correct answer in the box. Round your answer to two decimal places.

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer:

3.61 units

Step-by-step explanation:

AB = 3 units

AC = 2 units

Pythagoras theorem in euclidean geometry states that the sum of the squares of the base and height is equal to the square of the side which is opposite to the right angle (hypotenuse).

So,

BC^2=AC^2+AB^2\\\Rightarrow BC=\sqrt{AC^2+AB^2}\\\Rightarrow BC=\sqrt{2^2+3^2}\\\Rightarrow BC=\sqrt{13}

\sqrt{13}=3.6055\\\Rightarrow \sqrt{13}=3.61

BC = 3.61 units

Vlad [161]3 years ago
5 0
Find the square root of 13, which is 3.6

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For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.
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the area of a rectangle is144j^9k^15 square units. if the width of the rectangle is 8j^4k^5 units, what is the rectangle lingth​
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3 years ago
What is the side length of the eectagkes
dedylja [7]

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Step-by-step explanation:

<u>1. 5 in and 1/3 in</u>

Here,

Let\\l=5\\w=\frac{1}{3}\\Area=l*w\\=5*\frac{1}{3}\\=\frac{5}{3}\ in^2

<u>2. 5 in and 4/3 in</u>

Here,

l= 5\ in\\w=\frac{4}{3}\ in\\Area=l*w\\=5*\frac{4}{3}\\=\frac{20}{3}\ in^2

<u>3. 5/2 in and 4/3 in</u>

let\\l=\frac{5}{2}\\w=\frac{4}{3}\\Area= \frac{5}{2}*\frac{4}{3}\\=\frac{20}{6}=\frac{10}{3}\ in^2

<u>4. 7/6 in and 6/7 in</u>

<u>Let</u>

l=\frac{6}{7}\\w=\frac{7}{6}\\Area=l*w\\=\frac{6}{7}*\frac{7}{6}\\=1\ in^2

<u>Hence,</u>

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Keywords: Rectangle, Area

Learn more about rectangles at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

8 0
3 years ago
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Step-by-step explanation:

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Answer:

  a. false

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  d. true

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Step-by-step explanation:

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b. True. A graph of a proportional relationship is a straight line through the origin.

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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

8 0
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