Answer:
The arc is one-third of the circumference.
Step-by-step explanation:
The area of a circumference = 2πr
C = 2πr ... (1)
If an arc subtends a central angle measuring 2π/3 rad,
The length of the arc = rθ
Given θ = 2π/3
Length of the arc L = r(2π)/3
L = 2πr/3... (2)
L = 1/3(2πr)
Since C = 2πr
L = 1/3C
This shows that the arc is one-third of the circumference.
Answer: The answers are 4x^2(x^2+5x+3), (x–6) (x+2), (x–9), 3(x–7)(x–4), (9x–10) (9x+10), 3(y^2+2)(x^2+4), (5x+2), 2(x–4)(6x+1), 2(x + 4)(y - 4), and the factored form is (3x–4)(x–3).
Step-by-step explanation: To solve all the factoring equations, factor using the AC method or factoring the polynomials, the 3 steps are Grouping: using the sum-product pattern, common factor from the two pairs, and
rewrite the expression in factored form.
Step-by-step explanation:
(a/b*b/c=1/2*3/4)(a/c=3/8)
Answer:
89.51%
Step-by-step explanation:
Assuming given units are in cm
Tge rate of filling the cup is 70/2= 35 cm3/s
Volume of the cup is
and replacing r with 4 cm and h with 7 cm then the volume is equivalent to

Volume filled after 3 seconds will be 3*35=105 cm3
Percentage filled is 