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astra-53 [7]
2 years ago
7

GEOMETRY

Mathematics
1 answer:
Alona [7]2 years ago
7 0

according to Pythagorean theorem a²+b²=c² ; when c is hypotenuse .

{10}^{2}  +  {11}^{2}  =  {c}^{2}  \\ 100 + 121 =  {c}^{2}  \\ 131 =  {c}^{2}  \\  \sqrt{131}  =  \sqrt{ {c}^{2} }  \\ c = 11.4455 \\  c = 11.45

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The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
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Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

S = a/(1 - r)

where

S = sum of the distance travelled by the ball

a = initial distance or height of the ball

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From the information given,

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3 years ago
(5 - 3)⁴ - 2(7) + 8² = ?
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Step-by-step explanation:

(5 - 3)⁴ - 2(7) + 8²

PEMDAS

Parentheses first

(2)⁴ - 2(7) + 8²

Exponents

16 - 2(7) + 64

Multiply and divide from left to right

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Add and subtract from left to right

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