The values of CotD and SinC from the information given in the task content are; 15/8 and 15/17 respectively.
<h3>What is the value of cotD and sinC?</h3>
It follows from the task content that the right triangle has tanC = 15/8 and cosD=15/17.
On this note, it follows from Pythagoras theorem that the other value are as follows;
- sinC = 15/17, cosC = 8/17
- sinD = 8/17 and tanD = 8/15
Hence, it follows that the values of cotD and sinC are; 15/8 and 15/17 respectively.
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Answer: 0 -> -8, 2 -> -2, 4 -> 4
Step-by-step explanation: Just follow the equation
x > 1 is the required solution of the given inequality - 3x + 7 < 4. This can be obtained by solving the inequality the same way as we solve an algebraic equation.
<h3>Solve the inequality:</h3>
The inequality can be solved as the same way as we solve an algebraic equation.
- Combine the terms with variables to one side and constants to other side.
- To multiply the whole inequality with negative terms we reverse the sign of the inequality.
Here in the question the inequality to be solved is given:
- 3x + 7 < 4
By subtracting 7 from both sides of the inequality we get,
⇒ - 3x + 7 - 7 < 4 - 7
⇒ - 3x < - 3
To make the side of the inequality with variable x positive we multiply the whole equation with - 1, then we have to reverse the sign of inequality since we have to multiply the whole inequality with a negative term,
we get,
⇒ 3 x > 3
Now finally by dividing the whole inequality by 3 we get,
⇒ x > 1
The number line representation can be done by marking values from 1 to numbers greater than 1.
Hence x > 1 is the required solution of the given inequality - 3x + 7 < 4.
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Answer:
The slope of the line is -3/16