Answer: 2/3 * (× + 2 )
Step-by-step explanation:
((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ײ - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]
Simplifying by x [ 2 * ( ײ - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }
Simplifying by ( ×+2) 2/3 * (× + 2 )
Answer:
11/12, 5/7, 1,8, 1/4, 1/2
Step-by-step explanation:
Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to

where

substitute

step 2
Find the area of semicircle
The area of semicircle is equal to

we have
---> the radius is half the diameter

substitute


step 3
Find the area of the figure

Answer:
50 of D and 10 of C
Step-by-step explanation:
First of all, put this data into 2 equations.
You sold 60 items, so C+D=60
C is $5 so we can represent it by 5C
D is $7 so we can represent it by 7D
You made $400 total from C and D, so 5C+7D=400
We can use simultaneous equations to solve this.
To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.
5(C+D=60) (make sure you multiply both sides.)
so 5C+5D=300
5C+7D=400
Now we solve it:
5C-5C+7D-5D=400-300
7D-5D=100
2D=100
D=50
Now we can substitute this with one of the equations to find C
C+50=60
C=60-50
C=10
so, (10x5)+(50x7)=400
10 degrees is in a 90 degree angle
90-10 =80
use sin
sin(80)=9/x
get x alone
x=9/sin(80)