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dalvyx [7]
3 years ago
15

What is the length of DF? Round to the nearest hundredth.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

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An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are s
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<h3>Find the expression for the area of the shaded regions:</h3>

From the question we can say that the Hexagon has three shapes inside it,

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Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

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The expression for total shaded region would be written as,

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Learn more about area of a shape here:

brainly.com/question/16501078

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2. A student usually saves $20 per month. He would like to reach a goal of saving $350 in 12 months. The student writes the equa
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Answer:

x = 9.17 (nearest hundredth)

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350 = 12(x + 20)

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Subtract 240 from both sides:  110 = 12x

Divide both sides by 12:  9 1/6 = x

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

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