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netineya [11]
3 years ago
10

MATH QUESTION!! WILL MARK BRAINLIEST!! PAST DUE HELP ASAP!!!

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Right Triangles</u>

In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.

In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

c^2=a^2+b^2

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.

The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

CM=\frac{1}{2}AB

First, find the coordinates of the midpoint M(xm,ym):

\displaystyle x_m=\frac{0+3}{2}=1.5

\displaystyle y_m=\frac{4+0}{2}=2

Thus, the midpoint is M( 1.5 , 2 )

Calculate the distance CM:

CM=\sqrt{(1.5-0)^2+(2-0)^2}

CM=\sqrt{2.25+4}=\sqrt{6.25}=2.5

CM=2.5

Now find the distance AB:

AB=\sqrt{(3-0)^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}

AB=5

AB/2=2.5

It's proven CM is half of AB

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Answer:

gift 1:

424 cm^2

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gift 2:

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Step-by-step explanation:

We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.

The formula for the surface area is:

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Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:

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V = 3622.5 cm^3

That means that gift 2 needs 3622.5 cm^3 of packaging peanuts

5 0
3 years ago
What is the quotient?<br> Зу +2/3y/6y^2+4y/3y+2
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Step-by-step explanation:

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Guys Urgent Help me this example3.9 plzzz
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3 years ago
How do you complete the square to rewrite y= x^ -6x + 15 in vertex form
Vaselesa [24]
Vertex form of a quadratic equation is y=a(x-h)^{2}+k
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5 0
3 years ago
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