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irinina [24]
3 years ago
11

Jean walked 1 mile to her friends house and then bicycled for 2 hours at m miles per hour what was the total length of the trip

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
Using the data below, what is the equation for the line of best fit? Remember, put your answer in y = ax + b form and round any decimals to two places.
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This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
2 years ago
What is the equation of line JK in standard form?
natali 33 [55]
You need a little more information. Take a picture of the oroblem
3 0
2 years ago
a hotel has a number of meeting rooms,m, available for events. each meeting room has 325 chairs. write an equation to represent
liq [111]
C=325m
Because for every meeting room there is 325 chairs and c=the total of chairs
6 0
3 years ago
Factor this expression
Julli [10]

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

5 0
2 years ago
Read 2 more answers
For what value of a does<br> (9) ***<br> = 3438-1<br> -1<br> 0<br> 1<br> no solution
mario62 [17]

Answer:

<h2>0</h2>

solution,

(\frac{1}{7} ) ^{3a + 3}  =  {343}^{a - 1}  \\ or \: ( {7}^{ - 1} ) ^{3a + 3}  =  {(7}^{3} ) ^{a - 1}  \\ or \: (7) ^{ - 3a - 3}  =  {(7)}^{3a - 3}  \\ or \:  - 3a - 3 = 3a - 33 \\ or \:  - 3a - 3a =  - 3 + 3 \\ or \:  - 6a =  0 \\  \: a = 0

hope this helps..

Good luck on your assignment..

3 0
3 years ago
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