Answer:
The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:
Step-by-step explanation:
Given formula:
where 
represents temperature in Fahrenheit and 
represents temperature in Celsius.
To solve the equation for .
Solution:
We have,
Subtracting both sides by 32.
Dividing both side by 1.8
∴
Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.
Answer:
6=p
Step-by-step explanation:
We want to isolate p, so we can first multiply by p on both sides.
24/p=4
24=4p
Then, divide by 4.
6=p
We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
I have included attachment below
so since a rhombus is 2 pairs of paralell sides, we can cut it into 4 triangles
we can see that we can take the bottom 2 triangles and put them on top to get a rectangle that is width 21 and height 32/2 (16=height
area of rectangle=legnth times width=16 times 21=336 m^2
answer is 336 m^2
