Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know
Therefore
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC =
=
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer:
Kyle’s fixed monthly salary in dollars is $1800
Step-by-step explanation:
let a be the fixed monthly salary
let b% represent the fixed percentage of sales
a+(b%*15000)=2550
a+(b%*25000)=3050
a+(b/100*15000)=2550
a+150b=2550
a+(b/100*25000)=3050
a+250b=3050
now we have
a+150b=2550
a+250b=3050
let subtract a+150b=2550 from a+250b=3050
100b=500
b=500/100=5%
then a+(5%*15000)=2550
a+750=2550
a=2550-750=$1800
Answer:
$18.84
Step-by-step explanation:
The area of a cone is (1/3)pi*r^2*h
With all variables plugged in we get an area of (1/3)*3.14*(1^2)*9, or 9.42 cubic inches. With a value of 2$/in^3, we get 2*9.42, or 18.84.
Therefore, the value of the container is $18.84.
5 1/4 divided by 16.9 is 0.31