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<span>2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.</span>
Drain A: rate is 2 gal/min. We do not know which pool has 108 gallons of water in it. If it's Pool A, then the time required to empty Pool A is
108 gallons
------------------- = 54 minutes
2 gallons/min
If it's Pool B, then we can represent the amount of water in Pool B by b. Then the time required to empty Pool B is
b (gallons)
------------------ = (b/5) minutes
5 gallons/min
Answer:
Step-by-step explanation:
By AA Similarity, triangles ASR and EST are similar.
The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.
Also,
By a rule of proportions, you get
Divide by 2 and find out.
4/9 / 2
Multiply by its reciprocal:
4/9 * 1/2
Multiply the numerators and denominators together:
4/18
4/18 does not equal 8/18, so 4/9 isn't half of 8/18.
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
Answer:
147
Step-by-step explanation:
Suplementary angles add up to be 180
So 180-33 is 147
