Answer:
9.5 * 10^-2 mm
Step-by-step explanation:
To find the total thickness, we proceed to add the two thickness that we have
Mathematically, this will be;
0.025 mm + 7 * 10^-2 mm
7 * 10^-2 mm = 0.07
So we have;
0.025 mm + 0.07 mm = 0.095
In scientific notation, this is 9.5 * 10^-2 mm
A variable with a fraction exponent can be rewritten using a radical.
The equations would be A. radical equation
Combine like terms in Qx + 12 = 13x + P:
x(Q-13) = P-12
P-12
Then x = ----------
Q-13
Note that Q may not = 13. But none of the answer choices present Q = 13.
Let's go thru the answer choices one by one.
P-12
x = ----------
Q-13
-24
Check out A: Q=12 and P= -12: x = -------- = 24 This is OK (ONE sol'n)
-1
-25
Check out B: Q = -13 and P = -13: x = ----------- = 25/26 OK
-26
13-12
Check out C: Q = -13 and P = 13: x = ------------ = -1/26 OK
-13-13
12-12
Check out D: Q = 12 and P = 12: x= ---------- = 0 OK
12-13
It appears that in all four cases, the equation has ONE solution.
We know that
θ=11 pi /6 radians-----> 11*180/6----> 330°
330°----> belong to the IV quadrant
so
cos θ----> is positive
sin θ----> is negative
tan θ----> is negative
330°-----> 360°-330°---> 30°
sin 30°------> 1/2
sin θ=-1/2-----> remember that sin θ is negative
cos 30°------> √3/2
cos θ=√3/2
tan 30°------> (1/2)/(√3/2)----> √3/3
tan θ=-√3/3-------> remember that tan θ is negative
the answer is
sin θ = negative 1 over 2; cos θ = square root 3 over 2; tan θ = negative square root 3 over 3