Answer:
A
Step-by-step explanation:
The sum of the exterior angles for each polygon is always 360°.
The sum of the interior angles for each polygon is always 180°(n-2).
If you have n-sided convex polygon, then
So,
Answer:
21
Step-by-step explanation:
Let x = the number
12x-12 = 240
12x = 252
x = 21
Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
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Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
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Now, we know that (f-g)(2)=14. We confirmed this with both methods.
There would be 41 1/4 turns in 2 1/2 inches of threads.
Given, number of turns a bolt has = 16 1/2 turns per inch.
per inch bolt turns = 16 1/2 =33/2
how many turns would be there in 2 1/2 inches of threads = ?
Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.
so, 5/2 inches bolt turns =33/2 x 5/2
=165/4
hence 41 1/4 turns
Therefore, 2 1/2 inches of threads have 41 1/2 turns.
Learn more about Conversions here:
brainly.com/question/16851332
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