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Andre45 [30]
3 years ago
7

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

Mathematics
2 answers:
svetlana [45]3 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]3 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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Prove algebraically that r = 10/2+2sinTheta is a parabola
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Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

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3 years ago
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Answer:

whaaaaaa

Step-by-step explanation:

please like and Mark as brainliest

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A display of pens has 8 hooks. Each hook can hold 3 packages of pens and there are 3 pens in each package. If the display is com
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(8×3)×3=78
it will hold 78 pens.
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3 years ago
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The measure of ∠1 is 65°. What is the relationship between ∠1 and ∠2
bagirrra123 [75]

Answer:

if its complemantary it is 24 degrees

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Step-by-step explanation:

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Petrol and oil are mixed in the ratio 10/1 . How many litres of oil needed to mix with 5 litres of petrol?
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Answer:

1/2

Step-by-step explanation:

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