What is the value of x? 0.9(x 1.4)−2.3 0.1x=1.60.9(x 1.4)−2.3 0.1x=1.6 enter the answer as a decimal

Mathematics

2 answers:

Fantom [35]3 years ago

7 0

0.9(x + 1.4) - 2.3 + 0.1x = 1.6
0.9x + 1.26 - 2.3 + 0.1x = 1.6
x - 1.04 = 1.6
x = 1.6 + 1.04 = 2.64
x = 2.64

inysia [295]3 years ago

3 0

Answer:

2.64

Step-by-step explanation:

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x = 36

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Step-by-step explanation:

By geometric mean property:

${12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\$

By Pythagoras Theorem:

${y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95$

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3 years ago

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Luda [366]

Trigonometry as taught is mostly about memorizing two lousy triangles, namely half a square and half an equilateral triangle. This one is half an equilateral triangle.

The respective opposite sides of the 30/60/90 triangle are in ratio $1:\sqrt{3}:2$

A sine of √3/2 is an opposite of √3 and a hypotenuse of 2, so opposite and hypotenuse of the 60 degree angle. (It's the mama bear, in the middle, just right.)

$\sin 60^\circ = \dfrac{\sqrt{3}}{2}$