Well, that means that it is 3 more than a common multipule of 8,10,12, and 30
find the lcm
8=2*2*2
10=2*5
12=2*2*3
30=2*3*5
lcm=2*2*2*3*5=120
times it by 2 to get it between 200 and 500
240
add 3
243 is da number
Answer:
Step-by-step explanation:
- x = 36° as alternate interior angles are congruent
- z = 110° as opposite angles of parallelogram are congruent
- x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
- y = 180° - 110° - 36° = 34°
Correct choice is C
Answer:
Since 7 and 11 are both rational the sum and the difference are rational .
Step-by-step explanation:
Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
