Answer:Number of messages sent everyday =70 messages
Step-by-step explanation:
Total Number of messages sent in a week = 490
since she sends equal amount of messages everyday, we have that
1 week = 7 days
Number of messages sent everyday = 490/ 7 = 70 messages
Answer:
θ=0,π/3,π,5π/3,2π
Step-by-step explanation:
cosθ sinθ-1/2 sinθ=0
sinθ(cos θ-1/2)=0
Either sin θ=0
θ=0,π,2π
or
cosθ-1/2=0
cos θ=1/2=cos π/3,cos(2π-π/3)
θ=π/3,5π/3
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2
Answer:
4. ASA theorem
Step-by-step explanation:
Answer:
They would need 24 pints of chocolate to make 6 boxes of candy
