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ioda
2 years ago
15

Is 2/10 greater than or lesser than 3/5?

Mathematics
1 answer:
Alecsey [184]2 years ago
4 0

Answer:

<h2><u><em>2/10 is lesser than 3/5</em></u></h2>

Step-by-step explanation:

Is 2/10 greater than or lesser than 3/5?

fraction = division

2/10 = 0.2

3/5 = 0.6

<u><em>2/10 is lesser than 3/5</em></u>

<u><em></em></u>

<u><em></em></u>

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
Agata [3.3K]

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}

Considering the diagram. \angle B is shown to be acute, so \boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}.

Angles in a triangle add to 180°, so m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right).

Using the law of cosines,

AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}

3 0
1 year ago
Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

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3 years ago
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Answer:

A is 1:2 B is 3:1 C is 2:3

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Pay = $18 times the amount of hours she works
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