Step-by-step explanation:
The required sum
=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)
=2199(1+199)−266(3+198)−239(5+195)+213(15+195)
=199×100−33×201−39×100+13×105=10732
That's mean you gonna multiply
2*8 and 5*15
16/75
Hint: Multiply numerator by numerator and denominator by denominator .
I hope that's help.
Answer:
x > -99/4
Step-by-step explanation:
I must assume that you meant (-2/5)x -9<9/10.
This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:
10(-2/5)x - 10(9) < 10(9/10), or:
-4x - 90 < 9
Adding 90 to both sides results in:
-4x < 99
Here we must divide by a negative number (that is, by -4). This requires reversing the direction of the inequality sign:
x > -99/4 is the final solution.
Answer:
111.4 degrees
Step-by-step explanation:
Let's write cos x = -0.3646. Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character: cos Ф = -0.3646.
If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.
-1
Type this into your calculator: cos -0.3646. Result: 1.934 (radians)
This converts to degrees as follows:
1.934 rad 180 degr
--------------- * --------------- = 111.4 degrees. Note that this angle is in QIII.
1 π rad
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