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3 years ago

Which is not a true statement?

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Answer:

B 10.211 < 10.210

Step-by-step explanation:

Evaluating each of the given statements one by one:

A 10.345 > 10.340

Decimal values at the tenth and hundredth place are the same on both sides while the thousandth part value is greater on the left side.

Hence, this statement is true

B 10.211 < 10.210

Decimal values at the tenth and hundredth place are the same on both sides while the thousandth part value is greater on the left side.

Hence , this statement is not true because 10.211>10.210

C 9.999 < 10.0

This statement is true because 9.999 is less than 10.

D 6.3 = 6.30

This statement is correct as the left hand side is the same as right hand side.

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Answer:

TO FIND :-

Length of all missing sides.

FORMULAES TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$
$\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}$

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

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2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

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Length of side opposite to θ = x

Hypotenuse = 11

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$=> \frac{x}{11} = 0.5$

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4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

$=> \cos 43 = \frac{x}{12}$

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5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

$=> \cos 55 = \frac{x}{6}$

$=> \frac{x}{6} = 0.57357......$

$=> x = 6 \times 0.57357.... = 3.44145....$ ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

$=> \cos 73 = \frac{8}{x}$

$=> \frac{8}{x} = 0.29237......$

$=> x = \frac{8}{0.29237.....} = 27.36242.....$ ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

$=> \tan 69 = \frac{12}{x}$

$=> \frac{12}{x} = 2.60508......$

$=> x = \frac{12}{2.60508....} = 4.60636....$ ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

$=> \tan 20 = \frac{11}{x}$

$=> \frac{11}{x} = 0.36397......$

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