Lisa takes 3 hours to mow the lawn, while her cousin, Barb, takes 2 hours. How long will it take them working together?
2 answers:
Answer:
t=72 minutes
Step-by-step explanation:
If it takes Lisa 3 hours to mow the lawn, then she mows 13 of the lawn per hour. Barb takes 2 hours to do it alone so she completes 12 of the lawn each hour. Working together, they mow the lawn in some time t. This can be written as
+
=
Multiply each side by the least common denominator, 6t.
6t(+
)=6t(
)
Simplify and solve.
2t+3t=6
We can multiply the fraction by 60 to convert the fraction of an hour to minutes.
t= (60 minutes)
To mow the lawn, it takes the two working together
t=72 minutes.
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Answer:
b = 48.4017
Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°
Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017
Hope this helps :)
b = 48.4017
Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°
Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017
Hope this helps :)