Answer:
Step-by-step explanation:
You expand the equation
6x + 14 = 6x - 20
6x-6x = -20 -14
x= -34
Answer:
Step-by-step explanation:
ASSUMING the given dimensions are the lengths of the legs
we have an equilateral triangle with base 4 and height
h = √(3² - (4/2)²) = √5
A = ½bh = ½(4)(√5) = 2√5 cm²
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:
Acceleration: 2.2 m/s^2
Step-by-step explanation:
F=M/A
7.92/ 3.6
2.2.
One hundred twenty three thousandths