Answer:
Yes.
Step-by-step explanation:
What is a rational number?
A whole number, fraction, terminating or recurring decimal.
42.9 = 429/10 which is a fraction.
So it's rational.
Do you need this solved in a specific way? Solving for y you get 3/2
Answer:
8 + 7i
Step-by-step explanation:
Change the sign of the imaginary part.
The conjugate of 8 - 7i is 8 + 7i.
but anyway, the numerator will give the angles, and θ is just half of each
ok... that's a negative tiny angle, is in the 4th quadrant, if we stick to the range given, from 0 to 360, so we have to use the positive version of it, 360-4.025
so the angle is 355.975°
now, the 3rd quadrant has another angle whose sine is negative, so... if we move from the 180° line down by 4.025, we end up at 184.025°
and those are the only two angles, because, on the 2nd and 1st quadrants, the sine is positive, so it wouldn't have an angle there
There are 21 red pens. For every 3 red pens, there is 1 blue pen.
Let's make these into a fraction equation.
21/p=3/1
p is the number of blue pens we have yet to find.
First, cross multiply.
21x1=21
px3=3p
Now, we have an equation of
21÷3p
We set it equal to 1, and we solve it.
21÷3p = 1
(21÷3p)×3p=1×3p
21=3p
21÷3=(3p)÷3
7=p
So, if there are 21 red pens, there are 7 blue pens.
We add these together to find the total number of pens the teacher has.
21+7=28
The teacher has 28 pens total.
