Answer:
Step-by-step explanation:
Point-slope form of the equation of a straight line is:
(1)
The two points given in the problem are:
So, the slope of the line is given by:
And substituting into eq.(1), we find:
Eg: 24936
Place value of 4 is 4x10 raised to the power of 3 or 4000
Answer:
Step-by-step explanation:
Using the general equation 
, we already know that 
and 
, but we need to find 
from the period:
Hence, the cosine function is
9 * x = 9x
9 * 5 = 45
9 * 8y = 40y
9x + 45 + 40y
9x + 40y + 45
Answer:
Step-by-step explanation:
3) Surface area of cube = 6a² where a is side of the cube.
a) a = 6 cm
Surface area of cube = 6 * 6*6 = 216 cm²
b) a = 4.5 cm
Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²
4) Area of cuboid = A = 2(lb + bh + hl)
a) l = 10 cm ; h = 6 cm ; A = 376 cm²
A = 376
2(lb + bh + hl) = 376
2(10b + 6b + 60) = 376
2*( 16b + 60) = 376
2*16b + 2*60 = 376
32b + 120 = 376
32b = 376 - 120
32b = 256
b = 256 / 32
b = 8 cm
5) Surface area of cube = 150 cm²
6a² = 150
Divide both sides by 6
a² = 150/6
a² = 25 = 5*5
a = 5 cm
6) l = 15 cm ; b = 12 cm ; h = 10cm
Lidless. so area of top portion is not included
Surface area of lidless cuboid = 2(hb + hl) + lb
= 2*(10*12 + 10*15) + (15*12)
= 2*(120 + 150) + 180
= 2* 270 + 180
= 540 + 180
= 720 cm²
