Answer:
The coordinates of the point P is 14.
Step-by-step explanation:
Let point A is at 8 and B is at 16.
P is the point where the line segment in the ratio 3 : 1.
This is also where P is
rds the distance from A to B
The total distance is |16 - 8| = 8
The distance between point AB is 8 units.
of 8 is 6.
So, the point P is 6 units from A
.
8 + 6 = 14
P is at 14
Hence, the coordinates of the point P is 14.
This also works if you go 1/3 from B.
-8 is 4 from -4 which is 1/3 of 12.
Answer:
1. X > 8
2. a. X < 5
Step-by-step explanation:
1. 3x - 8 > 16
+8. +8
3x > 24
divide both sides by 3
x >8
2. 2x - 1 < 9
+1. +1
2x < 10
divide both sides by 2
x < 5
Answer:
30 ladoos
Step-by-step explanation:
The sum of the measures of the exterior angles of a polygon, taken one per vertex, is 360.
z - 13 + z + 10 + z = 360
3z - 3 = 360
3z = 363
z = 121
z - 13 = 121 - 13 = 108
Answer: z - 13 = 108 degrees
<h2>
Answer:</h2>
The cost in dollars is:
$ 1.8144
<h2>
Step-by-step explanation:</h2>
It is given that:
The 60-W lamp is operated continuously for 1 week.
We know that:
1 week=7 days
and 1 day=24 hours
This means that:
1 week=24×7
i.e. 1 week= 168 hours
Also, 1 kW=1000 W
This means that:
1 W=0.001 kW
Hence,
60-W=0. 060 KW
i.e. Power= 0.60 KW
Hence, the energy consumed is:
Energy=Power×Time
i.e.
Energy=0.060×168
i.e.
Energy=10.08 KWh
Also, cost of 1 KWh=18 cents
We know that:
1 cent=0.01 dollar
This means that:
18 cents=0.18 dollar
i.e.
Cost of 1 KWh=$ 0.18
Hence, cost of 10.08 KWh is: $ (0.18×10.08)
i.e.
Cost of 10.08 KWh is: $ 1.8144