Answer:D. 429.5 ft
Step-by-step explanation:
Divide 859 in half and you get 429 with remainder of 5.
Answer:
42
Step-by-step explanation:
Use LCM of 6 and 7 to find a number that is the same:
6 12 18 24 30 36 42
7 14 21 28 35 42
Since 42 shows up in both, the 42th voter gets a button and sticker.
Hope this helped.
Reasons:
1. Because, MO cuts Angle PMN in two equal parts.
2.As ∠PMN is cut in to equal parts thus:
∠PMN = ∠NMO + ∠PMO, where these two parts (∠NMO, ∠PMO) are equal.
3. Both are the same, common you can say..
4. Because, MO cuts Angle PON in two equal parts.
5. As ∠PON is cut in to equal parts thus:
∠PON = ∠NOM + ∠POM, where these two parts (∠NOM , ∠POM) are equal.
6. From the above statements, we have:
= ∠NMO + ∠PMO (Proved)
= ∠NOM + ∠POM (Proved)
= MO = MO (Proved)
Thus, ∆PMO ≅ ∆NMO, by AAS rule
________________________________
As simpoool as that!
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
