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
Given:
Area = 150 square feet
Bases = 14 feet and 16 feet
Find the height of the trapezoid.
Let us use the formula of finding the Area of a trapezoid to get the value of its height.
A = (a+b)/2 * h
150 ft² = (14ft + 16ft)/2 * h
150 ft² = 15ft * h
150 ft² / 15 ft = h
10 ft = h
The height of the trapezoid is 10 feet.
Answer:
I'm not too sure
I do it the way I understand
Step-by-step explanation:
The number of deer in a state growing each year is:
8800 x 1% = 88 ( )
Number of deer in a growing in 12 years is:
88 x 12 = 1056 ( deers)
Answer: Xavier earned $155.25 last week.
Step-by-step explanation:
To find out how much Xavier earn last week, we need to multiply how much He earns per hour ($11.50) by how many hours He worked last week (13.5h), so:
11.50 * 13.5 = 155.25
155.25 is already round to the nearest penny.
So, Xavier earned $155.25 last week.
