Mathematics: The altitude of a triangle is represented by r = 3 and the base of that triangle is represented by 3x + 1. Express the area of the triangle in terms of x.

The altitude of a triangle is represented by r =

kaylaciamp65

16.09.2021

x = 2/9A - 1/3

Step-by-step explanation:

A = [ 3 (3x+1) ]/2

A =( 9x+3) /2

2A = 9x + 3

2A - 3 = 9x

(2A - 3)/9 = x

2/9A - 1/3 = x

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nickname0097

12.03.2021

D. 24 degree

Step-by-step explanation:

Sides of the triangle are

a = 330 ft

b = 180 ft

c = 420 ft

From cosine rule we have

$\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}$

$\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}$

$\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}$

The smallest angle in the triangle is $\angle B=24.17^{\circ}$ .

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