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3 years ago

How many Liters of a liquid can be held in a barrel

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

A lot of water because it has to fill a barrel!!

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c

natali 33 [55]

Answer: By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are $(\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)$

Coordinate of E are $(\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)$

By the distance formula,

$DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}$

$AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}$

By the slope formula,

Slope of AC = $\frac{4-8}{8-6} = \frac{-4}{2} = -2$

Slope of DE = $\frac{3-5}{5-4} = \frac{-2}{1} = -2$

Statement Reason

1. The coordinate of D are (4,5) and 1. By the midpoint formula

the coordinate of E are (5,3)

2. The length of DE = √5 2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the 3. By the slope formula

slope of AC = -2

4. DE║AC 4. Slopes of parallel lines are equal

7 0

3 years ago

Read 2 more answers

Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What shou

il63 [147K]

I think the answer is A

5 0

3 years ago

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Prime factors of 20 i dont know this question

dem82 [27]

Answer:

2 x 2 x 5,

Step-by-step explanation:

20 = 1 x 20

2 x 10

4 x 5

Factors of 20= 1, 2, 4, 5, 10, 20.

Prime factors are = 2 x 2 x 5,

6 0

3 years ago

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New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1

gavmur [86]

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

4 0

3 years ago

Malaya creates a password as follows: letter, number, letter, special character, number Assuming that there are 12 special chara

Tems11 [23]

Hey there!

I'm not too sure about this question, but I'm gonna guess 12 or 15

I hope this helps out a little bit!

Always remember, you are a Work Of Art!
- Nicole <3 :)

4 0

2 years ago