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3 years ago

Whats the exspression equivalent to (-2x + 8.1y)

Mathematics

1 answer:

Simora [160]3 years ago

8 0

Answer:

b. 7x + 2.8y

Step-by-step explanation:

distribute the negative sign:

= -2x + 8.1 + -1(-9x + 5.3y)

= -2x + 8.1 + -1(-9x) + -1(5.3y)

= -2x + 8.1 +9x + -5.3y

combine like terms:

= (-2x + 9x) + (8.1 + -5.3y)

= 7x + 2.8y

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What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1

Ratling [72]

Answer:

$\sqrt3$

Step-by-step explanation:

To find:

The value of $tan60^\circ$ = ?

Solution:

Kindly consider the equilateral $\triangle ABC$ as attached in the answer area.

Let the side of triangle = $a$ units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = $\frac{a}{2}$

Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Side AD = $\frac{\sqrt3}{2}a$

Using Trigonometric ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanB = \dfrac{AD}{BD}$

Putting the values of AD and BD:

$tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}$

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