Answer: 6-R
Step-by-step explanation:
So each 1 revolution it travels the distance around the rim of the wheele aka circumference
circumference=pi times diameter
diameter=21
circunference=pi times 21 or 21pi
so distance=number of revolutions times circunference
number of revolutions=3
subsitute
distance=3 times 21pi
distance=63pi
answer is 63pi
or aprox pi to 3.14 and do 63 times 3.14=197.82
aprox 197.82 inches
30-2q=16
-2q=16-30
-2q=-14
q=7
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
Answer:
627
Step-by-step explanation:
We have to find the sum of the given expression which is:
We start adding from right hand digits
we will first add right most digit of 362 and 265
which is 2+5=7
Now, the previous right most digit from both the numbers which is 6+6=12
Now, since, we are getting a two digit number we will consider right digit from the resultant which is 2 and 1 will be taken as carry to the next two digits that are to be added
Now, we will ad next two digits that are left which is 3+2=5 and 1 carry will be added
Hence,6
Final result is written as in sequence they were added which is 627