Answer:
x = 5 is the right answer.
Step-by-step explanation:
As we know sum of all angles in a triangle is 180°.Therefore in this question we will form an equation.
Sum of all the angles of a triangle = 180
91 + 10x - 4 +8x +3 = 180
90 + 18x = 180
18x + 90 - 90 = 180 - 90
18x = 90
x = 90÷18 = 5
Therefore x = 5 is the right answer.
Step-by-step explanation:
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Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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Answer:
Step-by-step explanation:
Actually, you can't do that because 7 is never equal to 6.
"7 is greater than 6" is ok: 7 > 6
but
7 ≠ 6
Note: "7 is greater than or equal to 6 into algebraic equation" is not possible because you cannot change an inequality into an equation.