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irina1246 [14]
2 years ago
13

Victoria and Georgetown are 36.2 mi from each other. How far apart would the cities be on a map that has a scale of 0.9 in 10.5

mi?
Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:0.9 * (36.2/10.5) = 3.1 in

Step-by-step explanation:

I got an A <3

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7 0
3 years ago
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

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3 0
3 years ago
It takes Olivia 12.5 minutes to swim 20 laps around the pool what's Olivia's unit rate
Tom [10]

Her swimming rate can either be written as 1.6 laps per (one) minute or as 0.625 minutes per lap = 37.5 seconds per (one) lap.
In terms of number of laps per minute, the answer is
20
laps
12.5
minutes
=
1.6
laps per minute.

In terms of the number of minutes per lap, the answer is
12.5
minutes
20
laps
=
5
8
=
0.625
minutes per lap. This is the same as
0.625
min
lap
⋅
60
sec
min
=
37.5
sec
lap

The faster she goes, the more laps she can do in a minute and the fewer minutes (or seconds) it takes her to do one lap.
6 0
2 years ago
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