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3 years ago

Solve this equation 6(4.5y-12)=9

Mathematics

1 answer:

irinina [24]3 years ago

6 0

6(4.5y - 12) = 9

(4.5y - 12) = 9/6

4.5y - 12 = 1.5

4.5y = 1.5 + 12

4.5y = 13.5

y = 13.5/4.5

y = 3

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40 its c

Step-by-step explanation:

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3 years ago

Given the conditional statement, match the following.

Step2247 [10]

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3 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

2 years ago

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saul85 [17]

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

+ 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

3 0

2 years ago

Read 2 more answers

-3x-7 ≤11 solve, please

Rom4ik [11]

Answer:

x ≥ -6

Step-by-step explanation:

-3x-7 ≤ 11

-3x-7+7 ≤ 11+7

-3x ≤ 18

(-3x)(1) ≤ 18(-1)

3x ≤ -183x/3 ≤ -18/3

7 0

2 years ago