Answer: 40
Step-by-step explanation:
Since 40 could be = 1 x 40, 2 x 20, 4 x 10, or 5 x 8.
The Factors of 40 will therefore be: 1, 2, 4, 5, 8, 10, 20, 40.
The Prime factor then is: 2, 2, 2, 5
Multiplying them together gives 40.
Answer:
81.75 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A =
h (a + b)
where a, b are the parallel bases and h is the perpendicular height
Calculate h using the right triangle and the sine ratio
sin30° =
= 
Multiply both sides by 10
10 × sin30° = h, thus
h = 5
a = 12 and b = 8.7 + 12 = 20.7, hence
A =
× 5 × (12 + 20.7)
= 0.5 × 5 ×32.7
= 81.75 ft²
Forty million, twenty-three thousand and thirty-two
Answer:
Acceleration of the particle = 
Step-by-step explanation:
We are given the position vector of a particle moving in a circle of radius b units.
r(t) = b cos(ωt)i + b sin(ωt)j
Velocity , v =
= -bω sin(ωt)i + bω cos(ωt)j
The magnitude of velocity, v =
Squaring both sides,

Since
= 1

The acceleration towards the centre is called the centripetal acceleration and is given by
a = 
a = 
a = 