9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
Answer:
5000 difference
Step-by-step explanation:
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer:
31.8%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
5720 = (1200)(R)(15)
5720 = 18,000R
R = 0.3177777, rounded to 31.8%
So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.
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