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soldier1979 [14.2K]
3 years ago
12

Explain why the hypotenuses of the triangles below have the same slope.

Mathematics
2 answers:
schepotkina [342]3 years ago
6 0
They have the same slope because they are similar. The smaller one is 1/2 the size of the bigger one and they have a ratio of 1:2 which makes them similar. 
Kitty [74]3 years ago
5 0
The hypotenuses are the same because they fall on the same line.
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the ratio of large triangles to small triangles is 2-6 .If there are 100 triangles in the design ,how many small triangles are t
m_a_m_a [10]

Answer:

75 small triangles

Step-by-step explanation:

1. Reduce the ratio: 2-6 = 1-3

2. Write each of them as a fraction of a whole:

 Small total = 3/(1+3) = 3/4 of the total amount

3. Multiply the ratio to get the answer: 3/4 * 100 = 75

6 0
3 years ago
A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
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25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
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5 0
3 years ago
Read 2 more answers
2÷ 2/5<br> I need help on this
PIT_PIT [208]

Answer:

5

Step-by-step explanation:

keep, change, flip

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2/1  x  5/2

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5

4 0
3 years ago
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White raven [17]

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Step-by-step explanation:

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sweet-ann [11.9K]

Answer:

14 I think

Step-by-step explanation:

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