Answer: 4 + 16i
<u>Step-by-step explanation:</u>
(2 + 2i)(5 + 3i)
= 2(5 + 3i) + 2i(5 + 3i) <em>combine the two factors by multiplication</em>
= 10 + 6i + 10i + 6i² <em>distribute</em>
= 10 + 6i + 10i + 6(-1) <em>substitute -1 for i²</em>
= 4 + 16i <em>add like terms (6i + 10i) </em>
Quartile Q 1 = 110. We have to find how many of electricians have score 110 or less.
For Q 1 : 25 % of the scores are below this value. The area under the bell-shaped curve of the normal distribution is 0.25. And since we have 288 electricians that took a certification test:
0.25 * 288 = 72.
Answer: 72 electricians had a score of 110 and less.
Answer:
A.105°
Step-by-step explanation:
Angle at W and V are equal and the angles at T and U are also equal
Hence taking angles at T and U...so as to calculate the value of x
5x + 15 = 3x + 21
5x - 3x = 21 - 15
2x = 6.....hence, x = 3
Then for the angle of VXU;
All angles in a triangle add up to 180°
15(3) + 3(3) + 21 = 75°...then subtract from 180°..so as to obtain angle at VXU
180 - 75 = 105°
Answer:
8 inches
Step-by-step explanation:
the two sides of a triangle squared and added together equal the hypotenuse squared
if you divide a rectangle diagonally, it will form two triangles
the diagonal/hypotenuse of the triangle is given, 17 inches.
the length is also given as 15 inches.