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nydimaria [60]
3 years ago
12

A swimming pool that holds 1200 gallons of water can be completely drained by a two pumps. The first pump is small and can only

remove 300 gallons from the pool. If the second pump is used and it removes 20 gallons every minute, how many minutes will it take to completely drain the pool?​
Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer: 45 minutes

Step-by-step explanation:

the first pump takes care of 300 gallons so we need to worry about the remaining 900 gallons. the second pump removes 20 gallons per minute so all u have to do to find how many minutes it would take is divide 900 gallons by 20 gallons a minute which gives you 45

it will take 45 minutes to completely drain the pool

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How do you find the surface area of a pyramid
alukav5142 [94]

Answer:

We can find the surface area of any pyramid by adding up the areas of its lateral faces and its base.

Surface area of any pyramid = area of base + area of each of the lateral faces

Example:A=lw+l(w2)2+h2+w(l2)2+h2=3·2+3·(2

2)2+82+2·(3

2)2+82≈46.46559

Step-by-step explanation:

8 0
3 years ago
A square sits with its lower left corner at the orgin the square is translated five units up and seven units to the right what a
Dahasolnce [82]

Answer:

(2,0)

Step-by-step explanation:

Given

The initial lower left corner of the square at:

(x,y) = (0,0)

Required

Its new position after 5 units left and 7 units right translations

When a point is translated to the left by a units, the rule is:

(x,y) ==> (x-a,y)

In this case:

a = 5

So:

(0,0) ==> (0-5,0)

(0,0) ==> (-5,0)

<em>So, the new point is: (-5,0)</em>

When a point is translated to the right by b units, the rule is:

(x,y) ==> (x+b,y)

In this case:

b = 7

So:

(-5,0)= (-5+7,0)

(-5,0)= (2,0)

<u><em>So, the new point is: (2,0)</em></u>

7 0
3 years ago
The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the con
Verizon [17]

Answer:

The slant height of the cone affected is two times the slant height of original cone

Step-by-step explanation:

we know that

If the height and base radius of a cone are increased by a factor of 2 to create a similar cone

then

the scale factor is equal to 2

therefore

the slant height of the cone affected is equal to the slant height of the original cone multiplied by the scale factor

Find the slant height of the original cone

Let

l-----> slant height of original cone

la-----> slant height of the cone affected

Applying the Pythagoras theorem

l=\sqrt{h^{2} +r^{2} }

so

la=2l

la=2\sqrt{h^{2} +r^{2} }

The slant height of the cone affected is two times the slant height of original cone

6 0
3 years ago
Read 2 more answers
What angle has the same sine value between 0-180? as Sin 24
Inessa05 [86]

Answer:

Sin156

Step-by-step explanation:

Given

Sin24

Required

Find equivalent between 0 to 180;

Let 24 be represented by \theta

So, \theta = 24

From Trigonometry ratios;

Sin\theta = Sin(180 - \theta) where 0\leq \theta \leq 180

Recall that \theta = 24

So, we have to substitute 24 for \theta in the above expression.

This gives

Sin24= Sin(180 - 24)

Subtract 24 from 180

Sin24= Sin156

Hence, the equivalent of Sin24 is Sin156

6 0
3 years ago
an 80 ounce bottle of apple juice conatins 32 ounces of water a 64 ounce bottle of orange juice has 48 ounces of water which jui
Ghella [55]

Answer:

the second bottle

Step-by-step explanation:

32÷80=0.4 - so it has 40% water

48÷64=0.75 which means it has 75% water

4 0
4 years ago
Read 2 more answers
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