Answer:
4 cm
Step-by-step explanation:
The perimeter of the original rectangle is ...
P = 2(L+W) = 2(4x + x) = 10x
The perimeter of the larger rectangle after we add "a" to each side is ...
P = 2(L +W)
= 2((4x+a) +(x+a))
= 10x +4a = 10x +16
4a = 16 . . . . . subtract 10x from both sides
a = 4 . . . . . . . divide by 4
The length added to each side is 4 cm.
Ratios are simple if you know how. Simply put the two numbers next to each other with a : in between, then simplify.
Therefore, 5 flag stamps to 11 flower stamps has a ratio of 5:11. As both 5 and 11 are prime numbers, they cannot be simplified, so the answer is 5:11<span />
Answer:
<em>Her annual salary is $62,400</em>
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
<em>x = 2400</em>
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
<em>Her annual salary is $62,400</em>
6n because that is multiplication (:
Answer:
-10sin45+15cos60=Hor distance = 5.92 km
-10cos45+15sin60=ver distance = .429 km
resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east
Step-by-step explanation:
