The quotient of -1 4/5 and 3 1/4 = (<span>-1 4/5) / ( 3 1/4)
= [ - (5 * 1 + 4) / 5 ] / [ (3 * 4 + 1) / 4 ]
= [ -9 / 5 ] / [ 13 / 4 ]
= [ -9 / 5 ] * [ 4 / 13 ]
= [ -9 * 4 ] / [ 5 * 13 ]
= -36/65
another way is to do it separately first: </span>-1 4/5 and 3 1/4
-1 4/5 = -(1 + 4/5)
= -(5/5 + 4/5)
= -9/5
3 1/4 = 3 + 1/4
= 3*4/4 + 1/4
= 12/4 + 1/4
= 13/4
so (-1 4/5) / ( 3 1/4)
= (-9/5) / (13/4)
= (-9/5) * (4/13)
= (-9*4) / (5*13)
= -36/65
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
Volume of the pyramid would be 22 cubic inches.
Step-by-step explanation:
A square pyramid has a third of the volume of a cube so 66/3 = 22
(Hope this helps! If it did please give me brainliest!)
Answer:
V≈121.5in³
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/3t+5/12 t=1/4
1/3(1/4)+5/12=1/12
=6/12 or if you need it simplified 1/2