Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
Answer:
The given set of equation are: x+ (-45) ≤ 35 , x - (-45) ≥ 35
For the given equality to be true, x ≤ 35
Step-by-step explanation:
Here, given the first number = x
Second number = -45
Now, Sum of x and - 45 is at most 35.
⇒ x+ (-45) ≤ 35
Also, The difference of x and -45 is at least 35.
⇒ x - (-45) ≥ 35
Now, simplifying the given set of equations:
x - 45 ≤ 35 ⇒ -x - (-45) > - 35 ( as 3 < 4 ⇒ -3 > -4)
or, -x + 45 > - 35
and second equation is x + 45 ≥ 35
Now, solving both the equations by not taking sign of inequality in to the consideration, we get
x - 45 = 35
x + 45 = 35
Adding both equations,we get: ⇒ 2x = 70
or x = 35
Hence for the given equality to be true, x ≤ 35
Answer:
C) x = 1
Step-by-step explanation:
By adding the like terms you get
-12x + 10 = -10x + 8
then you add 12x to both sides and subtract 8 to both sides and get
2 = 2x
which then you would divide 2 by 2 and get 1
The x² term will be C(5,2)x²·2³ = 80x².
The coefficient is 80.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10
Answer:
Math is considered to be a part in everyones life, for example, you use math to throw a ball, like the force you use, or the height of the ball. Math is an important concept, and is lingering in our everyday lives, but the reason we take math is to find out of its exsitence, and use it for engineering, etc.
Step-by-step explanation: