Sarah has plotted the location wrong because for errand two the dot is at 3 3/5 instead of 3 1/5.
Answer:
19.3795 m
Step-by-step explanation:
If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

The wall is 19.3795 m away from Karen.
Answer:
4/45
Step-by-step explanation:
when dividing fractions, you multiply the first fraction by the second fraction's reciprocal :
1/9 divided by 5/4
1/9 multiplied by 4/5
essentially, you switch the signs from division to multiplication, and reverse the second fraction.
1/9 multiplied by 4/5
1/9*4/5 = 4/45
Answer:

Step-by-step explanation:
r = 5/(3sinθ-cosθ)
multiply both sides by (3sinθ-cosθ):
r(3sinθ-cosθ) = 5
expand:
3rsinθ-rcosθ = 5
replace rsinθ with y and rcosθ with x:
3y-x = 5
add x to both sides:
3y = x + 5
divide both sides by 3:
y = 1/3x + 5/3
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