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Andre45 [30]
4 years ago
7

A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4

Mathematics
2 answers:
svetlana [45]4 years ago
8 0

Answer:

32% of the tub will be filled after 8 minutes. Hope this helps!

Step-by-step explanation:

4x8= 32

telo118 [61]4 years ago
5 0

Answer: The percentage of the tub that is filled after 8 minutes is is the 40%

Step-by-step explanation:

the 100% of the bathtub is 80 gallons of water.

the rate per minute is 4 gallons, so in 8 minutes, the amount of water in the bathtub will be:

4*8 gallons = 32 gallons

the percentage that will be filled of the bathtu is:

(32 gallons/80 gallons)*100% = 0.4*100% = 40%

The percentage of the tub that is filled after 8 minutes is is the 40%

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Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.
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The measure of Arc Q P is 96°. We also know that ∠QTP is central angle, then the measure of arc QP is 96°.

Step-by-step explanation:

<u>Step 1</u>

If QS is a circle diameter,

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Let x be the measure of angle RTQ: ∠RTQ =x.

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<u />

<u>Step 2</u>

According to the question,

∠RTQ = ∠RTS - 12°

⇒ ∠RTS = x + 12°

∴ ∠QTS = ∠RTQ + ∠RTS

= x + x + 12° = 2x + 12° = 180°

⇒ 2x = 168°

⇒ x = 84°

⇒ ∠RTQ = 84°

<u></u>

<u>Step 3</u>

Now,

∵∠QTP and ∠RTS are vertical angles

∴ ∠QTP = 84° + 12° = 96°

As ∠QTP is the central angle, hence the measure of arc QP is 96°

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<u>Step 4</u>

The Measure of arc QP = 96°

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Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that g(x) = \frac{-1}{2} x + 3

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