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3 years ago

Find the missing side or angle. Round to the nearest tenth.

Mathematics

1 answer:

BartSMP [9]3 years ago

8 0

Answer:

$b = 2.7$

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: $\frac{a}{sin(A} = \frac{b}{sin(B}$

Plug in the values into the formula

$\frac{2}{sin(47} = \frac{b}{sin(80}$

Cross multiply

$2*sin(80) = b*sin(47)$

Divide both sides by sin(47) to make b the subject of formula

$\frac{2*sin(80)}{sin(47} = b$

$2.69 = b$

$b = 2.7$ (nearest tenth)

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3 years ago

You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the

dem82 [27]

Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as $\frac{W}{H}=\frac{16}{9}$ or $W=\frac{16}{9} H$