5- I want solution of all sub-part questions by typing not by hand. Thanks 5.a. For the triangle ABC, side a = 2 + m, side b = 9 and side c = 7. Find Angle A.Note: m = 0b.Solve the following: 12 sin? x - z = 0Note: z = 3c. If the mean of the observations: 2x – 3,x + 5, x + 7,x + 10 is 10.Then the mean of thelast three observations is

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Description: 5- I want solution of all sub-part questions by typing not by hand. Thanks 5.a. For the triangle ABC, side a = 2 + m, side b = 9 and side c = 7. Find Angle A.Note: m = 0b.Solve the following: 12 sin? x - z = 0Note: z = 3c. If the mean of the observat

Answered: 5. a. For the triangle ABC, side a = 2…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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5- I want solution of all sub-part questions by typing not by hand. Thanks

5.
a. For the triangle ABC, side a = 2 + m, side b = 9 and side c = 7. Find Angle A.
Note: m = 0
b.
Solve the following: 12 sin? x - z = 0
Note: z = 3
c. If the mean of the observations: 2x – 3,x + 5, x + 7,x + 10 is 10.Then the mean of the
last three observations is

Expert Solution

5-(a)

Given that, m = 0, a = 2, b = 9 and c = 7

So, using cosine rule in $∆$ ABC,

$\cos A = \frac{b^{2} + c^{2} - a^{2}}{2 . b . c}$

Or, $\cos A = \frac{9^{2} + 7^{2} - 2^{2}}{2 x 9 x 7} = \frac{126}{126} = 1$

Or, A = cos^-1(1) = 45 $°$

So, Angle A = 45 $°$

5-(b)

Given that: z = 3

and 12sin²x - z = 0

So, the equation becomes,

12sin²x - 3 = 0

Or, sin²x = $\frac{3}{4}$

Or, sinx = $\frac{\sqrt{3}}{2}$

Or, x = sin^-1( $\frac{\sqrt{3}}{2}$ ) = 60 $°$

So, x = 60 $°$

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