The value of the greater integer is -8.
Given,
The sum of an integer and 6 times the next consecutive integer = -50
We have to find the value of the greater integer:
Let's take x as the integer.
Next consecutive integer be (x + 1)
Now,
x + 6(x + 1) = -50
x + 6x + 6 = -50
7x + 6 = -50
7x = -50 - 6
7x = -56
x = -56/7
x = -8
The value of x is -8.
Now,
x + 1 = -8 + 1 = -7
That is,
-8 + (6 × -7) = -50
-8 -42 = -50
Here, the integers are of negative values.
So, the value of greater integer be -8.
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You will have to make the fraction a decimal first by dividing the top number by the bottom number then divide if your other number is already a decimal/whole number
Answer:
Step-by-step explanation:
C
cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
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Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
