Answer:
0x2+9x-3x-27 6x-27
Step-by-step explanation:
Hey there :)
Let us change the sentence into mathematics:
Area of rectangle = 35 m²
Length of rectangle is 3 m more than twice the width = 3 + 3w
Width = w
We know the area formula of a rectangle
Area = length × width
Dimensions of the rectangle are:
35 = w ( 3 + 2w )
35 = 3w + 2w²
Take all values to one side and equate to 0
2w² + 3w - 35 = 0
Factor:
( 2w - 7 ) ( w + 5 ) = 0
w =
or w = - 5 ( Reject because lengths can never be negative )
Therefore the dimensions are:
Width = 3.5 mLength = 3 + 2 ( 3.5 ) = 10 m
The correct answer is 12 teeth
Explanation:
The ratio represented by the diagram is 6:1 or 6/1, this means, for each 6 teeth in the larger gears there is only 1 in the smaller gear. Now, to find the number of teeth if the larger gear is 72 the best is to use cross multiplication. The process is shown below:
1. Write the known values, and use x to represent the value missing
2. Use cross multiplication, and then division to find x
3. Solve the operation
Answer:
D. 128
Step-by-step explanation:
The sum of external angles of a convex polygon is 360°, so b is ...
b = 360° -150° -82° = 128°