Hello, Can somebody help me on this questions?
1) 20z+8(2z^2-3z^3)
2) The exterior angle of a regular polygon is 1/4 of its interior angle.Find the number of sides of the polygon.
3) The foot of a mountain is at sea level. At a particular time, the temperatures at the foot and at the summit of the mountain are 15 Degrees Celcius and -8 Degrees celcius respectively. The temperature drops by 6.4 degrees celcius for every 1000m above sea level. Find the height of the mountain.
4) The lamps at three lighthouses continuously at night, the time interval for the lamps to go off completely at the tree lighthouses is given
(LightHouse A - 15 Sec)
(LightHouse B - 45 Sec)
LightHouse C - 1 minute 10 second
The lamps at the three lighthouses go off together at a particular time. How long does it take for the three lamps to go off together again? Give your answer in minutes and seconds.
5) A number leaves a remainder of 4 when divided by 6,7 or 9. Find the smallest possible number.
Thanks - Best Answer = 10 Points
1) 20z+8(2z^2-3z^3)
2) The exterior angle of a regular polygon is 1/4 of its interior angle.Find the number of sides of the polygon.
3) The foot of a mountain is at sea level. At a particular time, the temperatures at the foot and at the summit of the mountain are 15 Degrees Celcius and -8 Degrees celcius respectively. The temperature drops by 6.4 degrees celcius for every 1000m above sea level. Find the height of the mountain.
4) The lamps at three lighthouses continuously at night, the time interval for the lamps to go off completely at the tree lighthouses is given
(LightHouse A - 15 Sec)
(LightHouse B - 45 Sec)
LightHouse C - 1 minute 10 second
The lamps at the three lighthouses go off together at a particular time. How long does it take for the three lamps to go off together again? Give your answer in minutes and seconds.
5) A number leaves a remainder of 4 when divided by 6,7 or 9. Find the smallest possible number.
Thanks - Best Answer = 10 Points
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1. 20z+8(2z^2-3z^3)
=20z+16z^2-24z^3
------------------------------
2. (1/4)x + x = 180
(5/4)x = 180
x = 144degrees
[(n-2)180]/n = 144
(180n -360)/n = 144
180n - 360 = 144n
36n = 360
n = 10 (decagon)-----------> answer
--------------------------------------…
Arithmetic sequence
An = a1 +(n-1) d
-8 = 15 +(n-1)(-6.4)
-23 = -6.4n + 6.4
-23 - 6.4 = -6.4n
4.59375=n
4.59375(1000m) =4,593.75m---------> height of the mountain
------------------------------
Problem involving LCM
15sec, 45sec, 70sec
LCM= 630 seconds or 10 minutes 30sec.
-------------------------------------
LCM + 4
6,7,9
LCM =126
126 + 4 = 130---------->answer
=20z+16z^2-24z^3
------------------------------
2. (1/4)x + x = 180
(5/4)x = 180
x = 144degrees
[(n-2)180]/n = 144
(180n -360)/n = 144
180n - 360 = 144n
36n = 360
n = 10 (decagon)-----------> answer
--------------------------------------…
Arithmetic sequence
An = a1 +(n-1) d
-8 = 15 +(n-1)(-6.4)
-23 = -6.4n + 6.4
-23 - 6.4 = -6.4n
4.59375=n
4.59375(1000m) =4,593.75m---------> height of the mountain
------------------------------
Problem involving LCM
15sec, 45sec, 70sec
LCM= 630 seconds or 10 minutes 30sec.
-------------------------------------
LCM + 4
6,7,9
LCM =126
126 + 4 = 130---------->answer