The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
<h3>Solving trigonometry identity</h3>
If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;
Cos120 = cos(90 + 30)
Using the cosine rule of addition
cos(90 + 30) = cos90cos30 - sin90sin30
cos(90 + 30) = 0(√3/2) - 1(0.5)
cos(90 + 30) = 0 - 0.5
cos(90 + 30) = 0.5
Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
Learn more on unit circle here: brainly.com/question/23989157
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This is the simplest form
.
<h2>Exponent</h2>
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
<h3>Simplification</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
Given
is an expression.
<h3>How to make it simple?</h3>
![\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )](https://tex.z-dn.net/?f=%5Crm%202%5Csqrt%7B8x%5E3%7D%20%2A%20%283%5Csqrt%7B10x%5E4%7D%20-%20x%5Csqrt%7B5x%5E2%7D%20%20%29)
On simplifying, we have
![\rm 4\sqrt{2} (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}} - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )\\](https://tex.z-dn.net/?f=%5Crm%204%5Csqrt%7B2%7D%20%20%28x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20%2A%20%28%203%5Csqrt%7B10%7D%20x%5E2%20-%20%5Csqrt%7B5%7D%20x%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%5C%5C%5C%5C24%5Csqrt%7B5%7D%20x%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D%20%20-%204%5Csqrt%7B10%7Dx%5E3%5C%5C%5C%5C4%5Csqrt%7B5%7Dx%5E3%286%5Csqrt%7Bx%7D%20-%5Csqrt%7B2%7D%20%29%5C%5C)
This is the simplest form
.
More about the exponent link is given below.
brainly.com/question/5497425
Answer:
250 miles
Step-by-step explanation:
Speed = Distance/Time
Speed given = 50 m/hr
Distance = ?
Time = 5 hrs
Distance = Speed × Time
= 50 m/hr × 5 hr
Ans = 250 miles.
Let
C=child ticket
A=adult ticket
then
A=C+8 ........(1)
and
7A+2C=173 ......(2)
Substitute (1) in (2)
7(C+8)+2C=173
distribute
7C+56+2C=173
isolate C and solve
9C=173-56=117
C=$13
hence adulat
A=$13+$8=$21.
Perimeter is adding all the sides up around the shape