Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
I believe it has 8 angles, each are 135 degrees
sorry if its wrong
Answer:
The store is the cost of apples the least is store A
Step-by-step explanation:
On the graph the lowest line is A which means the prices are lower for the pounds of apples.
At Store A is the cost of apples the least. This is because it always has the lowest price for each pound compared to the other lines.
Answer:
P(2) = 4
Step-by-step explanation:
P(X) = -2X4 + 4X3 - X + 6
Use the remainder theorem to find quotient and remainder and the value of P(2)
First add in any missing exponents: P(x) = -2x4 + 4x3 + 0x2 -x + 6
Write all the coefficients in a line (including the constant) with the number being solved for off to the left:
Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under
the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across. The last
sum is the answer for P(2)
(2) -2 4 0 -1 6
-4 0 0 -2
__________________
-2 0 0 -1 4
P(2) = 4
check the answer: P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4 Our answer is correct
The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The
answer is given by the bottom numbers which will begin an one lower exponent than the original.
Quotient is: -2x3 + 0x2 + 0x -1 = 2x3 - 1
The remainder is: 4/(x-2)
If the blocks were 9 different colors, then there would be
9 !(factorial) = 362,880 different ways to line them up.
But for each different line-up, there are 5! =120 ways to arrange
the green blocks and you can't tell these apart, 2!= 2 ways to arrange
the white blocks and you can't tell these apart, and 2!=2 ways to arrange
the orange blocks and you can't tell these apart.
So the number of distinct, recognizable ways to arrange all 9 blocks
is
(9!) / (5! · 2! · 2!) = (362,880) / (120 · 2 · 2) = 756 ways.
