7x-4(6-x)+12 if x = 6

Mathematics

1 answer:

aev [14]2 years ago

5 0

Answer:

Step-by-step explanation:

7(6)-4(6-6)+12

42-0+12

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What is x?: 22+54x= -20 + 60x

DENIUS [597]

Answer:
x = 7

Explanation:
We are given
22 + 54x = -20 + 60x

We can add 20 on both sides using the Addition Property of Equality
42 + 54x = 60x

Subtract both sides by 54x using the Subtraction Property of Equality
42 = 6x

Divide both sides by 6 using the Division Property of Equality
x = 7

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Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$