Answer:
7(7x -4)
Step-by-step explanation:
49x-28
We can factor a 7 from each term
49x = 7*7x
28 = 7*4
7(7x -4)
Answer:
54.6cm
Step-by-step explanation:
Arc length = radius * central angle
= 18.2*3
=54.6
Answer:
Therefore
15.

16.

17.

Step-by-step explanation:
15.

Using the Identity (a + b)(a - b) = (a² - b²) we get
Consider here a = 5c and b = 3 then we will have
.....as required
16.

Here Factorize 8 such that sum up to be 9
∴ 8 × 1 = 8 and 8 + 1 =9
... as required
17.

Here Factorize 21 such that sum up to be -10
∴ -3 × -7 = + 21 and -3 - 7 = - 10
........as required
Therefore
15.

16.

17.

Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;


∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;

Sinθ = sin(-53.13) = -0.799≈ -0.8.