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asambeis [7]
2 years ago
7

The amount of water (in liters) in tank 1 after t minutes is 30t + 25. The amount of water (in liters) in tank 2 after t minutes

is −20t + 1000. Find the time when the amount of water will be equal.
Mathematics
1 answer:
pantera1 [17]2 years ago
8 0

Answer:

The water amount will be equal at 19.5 minutes

Step-by-step explanation:

Here, we want to find the value of t when the water level in both tanks will be equal

We simply proceed to equate both ;

That will be;

30t + 25 = -20t + 1000

30t + 20t = 1000-25

50t = 975

t = 975/50

t = 19.5 minutes

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Answer:

a.x=10 \textdegree

b.

m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree

Since, the m∠K is a right angle, it measures 90°

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