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dlinn [17]
3 years ago
7

An equilateral triangle with sides 10 cm is inscribed inside a similar triangle. The larger triangle is dilated with a scale fac

tor of 3 from the smaller triangle. Using the ratios of areas, find the area of the shaded region.

Mathematics
1 answer:
shusha [124]3 years ago
5 0
To solve this exercise you must follow the proccedure shown below:

 1. You have the the lengths of the sides of equilateral triangle which is inscribed inside a similar triangle are 10 cm. Therefore, the area is:

 A1=bxh/2
 A1=10 cmx10 cm/2
 A1=50 cm²

 2. <span>The larger triangle is dilated with a scale factor of 3 from the smaller triangle. Using the ratio of the area:

 (1/3)</span>²<span>=50/A2
 1/9=50/A2
 A2=450 cm</span>²
<span>
 3. The area of the shaded region is:

 At=A2-A1
 At=400 cm</span>²
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Answer:

2.25

Step-by-step explanation:

We can write a ratio to solve

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Using cross products

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Multiply by 4/3

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3 years ago
If you roll six sided dice what are the odds of rolling doubles
Ludmilka [50]

Answer: 16.7%

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5 0
3 years ago
Find x please help thank you
Angelina_Jolie [31]

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

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answer

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Answer:

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