<em>Answer:</em>
<em>7/78 - 35/78i</em>
<em>Step-by-step explanation:</em>
<em>A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:
</em>
<em>a + bi
</em>
<em>
</em>
<em>For the expression, 7/ 3-15i
</em>
<em>
</em>
<em>(7/ 3-15i) (3+15i)
</em>
<em>21 - 105i / (234)
</em>
<em>7/78 - 35/78i
</em>
Answer:
1/400
Step-by-step explanation:
3/1200 = 1/400
1) Sample space would consist of the 1200 names of the students
2) out of those 1200 outcomes, this event composes of three outcomes which are:
1) Sophie
2) Hannah
3) Ethan
Answer:
1 and 1/8 of a batch
Step-by-step explanation:
First you multiply 1/2 by 4 and get for 8 and then you subtract 4/8 - 3/8 and you take the sum of that and add one hole
There are 7 numbers.
Each number can be paired with the remaining 6 numbers.
7 x 6 = 42 different two digit numbers can be made.
Answer:
r=1
Step-by-step explanation:
First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:
By doing so, we find:
With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.
As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:
