The usual definition of Least Common Multiple of two numbers states that is the Least positive integer that can be evenly divided by both numbers. The way it is usually defined the two numbers must be positive integers
Answer:
64°
Step-by-step explanation:
Check the attachment for the diagram. Since the triangle has one of its angle as 90°, it is a right angled triangle.
Using the SOH CAH TOA trigonometry ratios:
Since ∠P is opposite to side QR,
QR = opposite side = 8ft
RP = adjacent side = 3.9ft
According to TOA
Tan∠P = Opposite/Adjacent = QR/RP
Tan∠P = 8/3.9
Tan∠P = 2.05
∠P = arctan 2.051
∠P = 64°
The like terms are all the ones with the same variable/ letter
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>

Simplify:

×5 on both sides:

Expand:

Bring constants to 1 side, w terms to the other:

Simplify:

Divide both sides by 3:

<u>Method 2:</u>

Multiply by 5 throughout:

Expand:

Simplify:

+9 on both sides:

-4w on both sides:

Simplify:

Divide by 3 on both sides:

3. 
Multiply by 3x on both sides:

Expand:

Simplify:

Divide by 6 on both sides:

-9 on both sides:

Factorise:
*Since a²-b²= (a +b)(a -b),

Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210