Answer:
Option C is correct.
Step-by-step explanation:
Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.
As Surface area of cuboid is 2(LW+WH+HL)
In the given figure, the upper cuboid has dimension
L=2.5 ft. , W=1.5 ft, H=1.5 ft
The upper face is occuring twice therefore it must be subtracted to find the area
Dimensions of lower podium are
L=7.5 ft. , W=1.5 ft, H=1.5 ft
Now, Surface area of podium included bottom is
19.5+49.5-3.75=65.25 square feet.
Hence, option C is correct.
The answer is d because the centroid stems from medians in a triangle
The sum of the finite arithmetic series of <span> 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series. </span>
9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
