Answer:
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Step-by-step explanation:
50% = 1/2
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Answer:
Step-by-step explanation:
Tye length of the ramp can be gotten using Pythagoras theorem.
Horizontal distance = 10ft.
Vertical distance = 3ft
Length of the ramp² = 10²+3²
Length of the ramp² = 100+9
Length of the ramp² = 109
L² = 109
L =√109
L = 10.44ft
Hence the length of the ramp is 10.4ft to the nearest tenth
Answer:
36
Step-by-step explanation:
The number of two of the nine members of ski patrol unit can be chosen is equal to the combinations of 9 taken 2. This can be calculated using the formula:
= 
, where
9! =9×8×7×6×5×4×3×2×1 and
7!=7×6×5×4×3×2×1
2!=2×1 then the equation becomes:
=
=36
7/10 because you divide by 10
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")
1║2 -7 -13 63 -45
║ 2 -5 -18 45
2 -5 -18 45 0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.
Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")
3║2 -5 -18 45
║ 6 3 -45
2 1 -15 0
Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.
Final Answer: (x-1)(x-3)(x+3)(2x-5)
