Answer: x = 12, y = 
Step-by-step explanation:
A 30-60-90 triangle has sides whose lengths are related. (shown in the diagram attached) The longest side, the hypotenuse (opposite the right angle) represents 2x. The shortest side is x, and the last side is
.
We know the longest side = 24 = 2x.
If the shortest side is x, that means that the shortest side = the longest side DIVIDED by 2. Therefore, shortest side = x = 24/2 = 12 .
The last side is y and equals x\sqrt{3} . We now know that x = 12. Hence, y =
.
Answer:
7218°C
Step-by-step explanation:
difference between the two numbers 7000 and -218 is
7000-(-218) = 7000+218 = 7218
(NOTE: <em>When conditions like this arise, when two minus (-) sign come together, replace the two minus with a plus sign and open the brackets. When two plus sign occurs together, do not replace it with a minus sign, just replace with a single plus sign</em>)
Answer:
14 +11i
Step-by-step explanation:
The product of binomials is found in the usual way, except that i² = -1.
(1 -3i)(2 +5i) -(3 -12i)
= (1·2 +1·5i -3i·2 -3i·5i) -3 +12i
= (2 +15 -3) +i(5 -6 +12)
= 14 +11i