-3z + 7 = -7 - 10z
Add 10z to both sides
7z + 7 = -7
Subtract 7 from both sides
7z = -14
Divide by 7
Z = -2
A bank withdrawal of $50 is a reasonable amount for the average American person.
Step 1: 0.282 = 282⁄1000
Step 2: Simplify 282⁄1000= 141⁄500
The population density of Romania in 1997 given its area and the population is 95 people per square km.
<h3>What is the population density?</h3>
Population density is the number of people that live in a square kilometer of an area. It is determined by dividing total population by total area.
Population density = population / area
22.600,000 / 237301 = 95 people per square km
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I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer