Answer:
A product of factors is zero if and only if one or more of the factors is zero. That is, if ab = 0, then either a = 0 or b = 0 (or both).
Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both. (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.
Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.
First, we expand the equation:
Then, we combine certain terms in order to simplify them using trigonometry identities.
Note these identities:
Pythagoran relation:
Sum and Difference Formula/Identities:
Thus, if we apply these identities, the simplified equation would be:
Simplying further, the answer would be
![2[cos(A-B)+1]](https://tex.z-dn.net/?f=2%5Bcos%28A-B%29%2B1%5D)
Answer:
Step-by-step explanation:
This triangle is a polygon. By definition, all the exterior angles of ANY polygon add up to equal 360 degrees. So we add up all the exterior angles and solve for x. That's the first step.
7x - 2 + 9x - 31 + 4x + 33 = 360
Combining like terms gives us
20x + 0 = 360 or simply
20x = 360 so
x = 18
In order to find the value of the angle exterior to angle C, we sub 18 in for x:
7(18) - 2 = 124
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Step-by-step explanation:
according to the given question
there are 10 bags each have 15kg potatoes so basically, we have 150 kg of poatoes
i want these potatoes to be equally distributed in 50 bags
therefore, mass of potato in 1 bag = total kg's of potatoes÷nuber of bags
mass of potato in 1 bag=150÷50 equals 3 kg
and so, each bag will have mass 3 kg
