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makvit [3.9K]
3 years ago
9

Aysha’s new bike has 26 inch diameter wheels. What is the circumference of her new wheel? Give your answer correct to 1 decimal

place.
Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

81.6 inches is the circumference

Step-by-step explanation:

Circumference is π times diameter.

We can use a common value of π, 3.14

3.14 × 26 = 81.64

Round to 81.6 inches

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The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

<h3>Triangle ACD</h3>

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

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where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

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20² - (10√2)² = AC²

400 - 100(2)  = AC²

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AC = √200 = 10√2

<h3>Triangle ABC</h3>

ΔABC is a right angle triangle too. Therefore,

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Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

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learn more on triangles here: brainly.com/question/24304623?referrer=searchResults

5 0
2 years ago
What is 56,902 in expanded form?
mariarad [96]
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Step-by-step explanation:

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2 years ago
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