The rate of 8 gallons every 25 hours means that the faucet fills gallons every hour.
Multiply the unit rate for the number of hours you're interested in to find
Explain one thing you need to be careful with when writing a proportion.
1 answer:
For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:
75%: It's percentage
0.75: In decimal (75% are cats)
: In fraction. (There are
of cats)
: Using ":" to separate sample values. (For every three cats there is a dog)
Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.
Example:
Answer:
Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.
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Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
=
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
=
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = ≈ 22.0 ( to the nearest tenth )
(3)
=
, substitute values
=
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = , then
∠ C = (
) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
=
, substitute values
=
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = ≈ 8.0 ( to the nearest tenth )