Yes, there is 1760 yards in a mile.
9514 1404 393
Answer:
(40π +48) cm²
Step-by-step explanation:
The total area is the sum of the areas of a 12 cm circle, a 4 cm circle, and a 12 cm by 4 cm rectangle.
For a given diameter (d), the area of a circle is ...
A = (π/4)d²
Then the area of the two circles is ...
A = (π/4)(12 cm)² +(π/4)(4 cm)² = (π/4)(144 cm² +16 cm²) = 40π cm²
The area of the rectangle is ...
A = LW
A = (12 cm)(4 cm) = 48 cm²
Then the total area of the figure is ...
total area = circle area + rectangle area
total area = 40π cm² +48 cm²
total area = (40π +48) cm²
Answer:
10, 8, 6, 4, 2,
Step-by-step explanation:
f(1) = 10 tells you the first term in the sequence is 10. Only one answer choice has a first term of 10.
__
f(n+1) = f(n) -2 tells you that each successive term is 2 less than the previous term. The same answer choice also has that characteristic.
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: x=24
Step-by-step explanation:Simplifying
0.6x + -5 = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 7 + 0.1x
Solving
-5 + 0.6x = 7 + 0.1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.1x' to each side of the equation.
-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x
Combine like terms: 0.6x + -0.1x = 0.5x
-5 + 0.5x = 7 + 0.1x + -0.1x
Combine like terms: 0.1x + -0.1x = 0.0
-5 + 0.5x = 7 + 0.0
-5 + 0.5x = 7
Add '5' to each side of the equation.
-5 + 5 + 0.5x = 7 + 5
Combine like terms: -5 + 5 = 0
0 + 0.5x = 7 + 5
0.5x = 7 + 5
Combine like terms: 7 + 5 = 12
0.5x = 12
Divide each side by '0.5'.
x = 24
Simplifying
x = 24
