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3 years ago

What is the length of leg s of the triangle below?

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

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Step-by-step explanation:

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3 years ago

Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the given regular polygon.14.

Bezzdna [24]

Answer:

Step-by-step explanation:

Let radius = r and side of a regular polygon = s

a) The consecutive radii = r + r + 1

i) For Square ( 4- sides) : r + r + 1 = 90°

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ii) For Pentagon (5- sides) : 2r + 1 =108°

iii) For Hexagon (6- sides): 2r + 1 = 120°

iv) For Heptagon (7- sides): 2r + 1 = 129°

v) For Octagon (8- sides): 2r + 1 = 135°

vi) For Nonagon (9- sides): 2r + 1 = 140°

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b) A radius and a side = r + s

i) For Square (4- sides): r + s = 90°

ii ) For Pentagon (5- sides): r + s = 108°

iii) For Hexagon (6- sides): r + s = 120°

iv) For Heptagon (7- sides): r + s = 129°

v) For Octagon (8- sides): r + s = 135°

vi) For Nonagon (9- sides): r + s = 140°

vii) For 20 sides: r + s = 162°

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3 years ago

Find the percent change from the first value to the second 50;30

Alex787 [66]

Answer:

-40%

Step-by-step explanation:

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OV = old value

percent change = (NV - OV)/(OV) × 100%

percent change = (30 - 50)/(50) × 100%

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Step-by-step explanation:

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