Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to

we have

substitute

step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have

The new area is

The expanded form of the expression is
Apply distributive property

Answer:
60 marbles in total
Step-by-step explanation:
Find how many marbles there are in total by dividing 42 by 0.7:
42/0.7
= 60
So, there are 60 marbles in total
Answer:
The answer to your question is 23.42 ft
Step-by-step explanation:
Data
base = 6 ft
height = 4 ft
Process
1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.
Length = 6 + 4 + 4
Length = 14 ft
2.- Calculate the Perimeter of the semicircle
Formula
Perimeter = 2πr/2 = πr
-Calculate the radius
radius = 6/2 = 3 ft
-Find the perimeter
Perimeter = 2(3.14)(3)/2
-Result
Perimeter = 9.42 ft
3.- Calculate the perimeter of the window
Perimeter = 14 + 9.42
= 23.42 ft
Answer:
let's use Pythagoras theorem,
h²=b²+l²
so,
ad²=ac²+dc²
6²=ac²+3²
36-9=ac²=27
√27 can be written as 3√3,
hence ac= 3√3