Check the picture below.
the triangle is an isosceles, so it has twin legs, and a base bottom.
the twin sides stem from the "vertex", and we know the vertex is 120°, and since the triangle is inscribed in a circle, because the circle is "circumscribing" it, then the base side of the triangle will be the diameter of it.
if we run a perpendicular line to the base from the vertex, we'll split the vertex in two 60° angles, as you see there, giving us a 30-60-90 triangle on each side.
so, anyhow, the rest is just a matter of using the 30-60-90 rule.
that's the diameter, and as you know, the radius is just the length of the base, or half the diameter.
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
A=p(1+i/m)^mn
P=3168
i=0.1275
M=12
n=3/12
A=3,168×(1+0.1275÷12)^(12*3/12)
A=3,270.06
You have to make sure that whatever you do to one side, you also do to the other.
2x + 37 = 8x + 7
2x + 37 - 2x = 8x + 7 - 2x
37 = 6x + 7
37 - 7 = 6x + 7 - 7
30 = 6x
30 / 6 = 6x / 6
5 = x
x = 5
Hope this helps! :)
In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].
What is an equation?
- Math can be used to analyze an equation or a set of equations.
- An equation is a sentence that maintains the equivalence of two expressions. Most of the time, it is easy to solve the arithmetic equations given in an exact manner.
- While perfect solutions can occasionally be found, it is more typical to find approaches that are just as accurate. It speaks to the particular guidelines for quadratic mathematical equations.
A movie ticket cost $4.25 in 1990.
The inflation rate is about 3.5%
Rate increased ,r=100%+3.5%=103.5%=1.035
equation generated is,
y=4.25[(1.035)^x]
Solving the equation for each year, we get the following data:
Tabulating the data
Year cost
1990 4.25
1991 ....
.... ....
1998 5.5964~ 5.6
In the year 1998, the will be greater than $5.50.
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