Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
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5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
The answer for this problem is 120√6
Right of the bat, I know the measure of angle C equals 73° because of the Isosceles Base Angle Theorem. Then, due to the Triangle Sum Theorem, I know that all of the measures in the triangle must add to 180°. To find this, just subtract 73 and 73 from 180. Finally, because angle B equals (6x + 4) and 34°, just set them equal to each other to find the value of x.
180 - 73 - 73 = measure of angle B
34° = measure of angle B
6x + 4 = 34
- 4 - 4
6x = 30
6x / 6 = 30 / 6
x = 5
Hope this helps!
Answer:
13.2 years
Step-by-step explanation:
The decay rate is 15%, so the decay factor is 1 - 15% = 0.85. Then the exponential equation for the value is ...
v(t) = 85000·0.85^t
We can set v(t) = 10,000 and solve for t:
10000 = 85000·0.85^t
10000/85000 = 0.85^t . . . . divide by 85000
log(2/17) = t·log(0.85) . . . . . .reduce fraction, take logs
t = log(2/17)/log(0.85) ≈ 13.2
It will take about 13.2 years for the value to fall below $10,000.
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Such a question is nicely answered by a graphing calculator.
The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.
Step-by-step explanation:
Let the cost of premium seat ticket be C
Let the number of tickets a fan buys to be t
Then, presenting the information as ordered pairs of coordinates (x,y) will be;
Fan 1, (3,875)
Fan 2, (8,2125)
Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;
m=Δy/Δx
m=2125-875/8-3
m=1250/5
m=250
Equation of the graph,
Δy/Δx=250
y-875/x-3 =250
y-875=250(x-3)
y-875=250x-750
y=250x-750+875
y=250x+125
C=250t +125 where C is the cost and t represent the number of tickets purchased
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Slope-intercept form equation: brainly.com/question/11016508
Keyword : slope-intercept form,cost
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