The area of a rectangle is L x W, so 9(5+x) is the formula for the area in factored form. It can be simplified to 45+9x
Answer:
-5(1-I) is the answer
Step-by-step explanation:
(1+2i)(1+3i)
1(1+3i)+2i(1+3i)
1+3i+2i+6i^2
As i^2=-1
1+5i+6(-1)
1-6+5i
-5+5i
Taking -5 as common
-5(1-i)
I hope this will help you :)
Answer:
52 is the multiple of 13
Step-by-step explanation:
3x+3=156
3x=153
x=52
5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.
Men = 5 'parts' = 5 x 28 = <u>140 men</u>
Women = 8 'parts' = 8 x 28 = <u>224 women</u>
<em><u>Check:</u></em>
140/224 = 70/112 = 35/56 =<em> </em><em>5/8</em>
140 + 224 = <em>364</em>
yay !
Answer:
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Step-by-step explanation:
x = larger acute angle
y = smaller acute angle
Recall:
A right angle measures 90°
Sum of angles in a triangle = 180°
y = 1/4x
Hence :
90 + x + y = 180
x + y = 180 - 90
x + y = 90 - - - (1)
y = 1/4x - - - - (2)
Put y = 1/4x in (1)
x + 1/4x = 90
1.25x = 90
x = 90 / 1.25
x = 72
x + y = 90
72 + y = 90
y = 90 - 72
y = 18
