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Nadusha1986 [10]
3 years ago
5

SOMEBODY PLEASE HELP ME: Determine which side is the shortest in each diagram:

Mathematics
2 answers:
Art [367]3 years ago
7 0

In any triangle, the smallest side and smallest angle are opposite one another.

so in triangle DFG the shortest side is DG because it is opposite 52 degrees

in triangle EFG the shortest side is EG because it is opposite 47 degrees

I AM USING THE NUMBER IN THE DIAGRAM.  i ASSUME THEY ARE CORRECT?

DG< EG

Juliette [100K]3 years ago
4 0

Answer:

DG is the shortest side.

Step-by-step explanation:

The problem can also be solved by using sine rule:

sin47/EG = sin48/FG = sin85/EF

So EG is the shortest in triangle EFG


In triangle DEG, sin52/DG = sin67/EG = sin61/DE

So DG is the shortest side and it is equal to:

DG = EG*sin52/sin67

Because sin52/sin67 < 1, DG < EG


DG is the shortest side.

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Free_Kalibri [48]

Answer:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

Hence, ption B is true.

Step-by-step explanation:

Given the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

solving the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

as

\sqrt{x^2y^3}=xy\sqrt{y}

2\sqrt{x^3y^4}=2xy^2\sqrt{x}

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\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}

Group like terms

                                        =2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}

Add similar elements

                                        =2xy^2\sqrt{x}+2xy\sqrt{y}

Therefore, we conclude that:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded
Crank

Answer:

A=81(\pi-1)\ in^2

Step-by-step explanation:

step 1

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A=\pi (9)^{2}\\A=81\pi\ in^2

step 2

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we know that

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we have

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In the right triangle below, tanA = 0.45. What is the approximate length of AB?
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