2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
No. of cups = 8 cups
@ loaf = 3/4
No of loaves she can make
8 cups ÷ 0.75 = 10.67
Answer = 10 loaves (C)
Answer:
7 > -7
Step-by-step explanation:
-9 is not greater than -4
-6 is not greater than -5
I am not sure what 7 -7 means in your first option but if it is consistent, then yes, 7 is greater than -7.
Answer:
The magnitude of the electric force between these two objects
will be: 181.274 N.
i.e. F 
N
Step-by-step explanation:
As
Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.
so
q₁ = 4.5 μC = 4.5 × 10⁻⁶ C
q₂ = 2.8 μC = 2.8 × 10⁻⁶ C
separated distance = d = 2.5 cm
Calculating the magnitude of the force between two charged objects using the formula:
∵ 
∵ 
∵ 
∵ 
F N
Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.
i.e. F N
Answer:
y = |x| + 7
Step-by-step explanation:
Use desmos.com to see it in action
