Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
The lower quartile is 24 and the range is 35-22=13.....hope this helps
Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55