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saw5 [17]
3 years ago
11

Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 60 liters. Wh

at are the possible numbers of minutes
. :
Martina could add water?
Use t for the number of minutes
Write your answer as an incqua ty solved fort
Mathematics
1 answer:
Phoenix [80]3 years ago
3 0

Answer:

9 minutes

Step-by-step explanation:

60=15+5t

45=5t : subtract 15 from both sides

9=t : divide by 5 for both side

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Find the sum of (x+5), (-4x-2), and (2x-1)<br><br> Show your work please
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(x+5) + (-4x-2) + (2x-1)
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The least common denominator of two fractions is 24.if you add the two denominators,their sum is 14.What are the denominators?
melamori03 [73]
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4 0
3 years ago
A regular m-gon has 3 times as many sides as a regular k-gon.
Novosadov [1.4K]

9514 1404 393

Answer:

  • k = 10
  • m = 30

Step-by-step explanation:

The interior angle of the m-gon is ...

  m-interior = 180 -360/m

The exterior angle of the k-gon is ...

  k-exterior = 360/k

The required relationships are ...

  m = 3k

  m-interior = 14/3(k-exterior)

Substituting for m, we can write the latter relation as ...

  (180 -360/(3k)) = 14/3(360/k)

Multiplying by 3k/180, we have ...

  3k -2 = 28

  k = (28 +2)/3 = 10

The values of k and m are 10 and 30, respectively.

_____

<em>Check</em>

The interior angle of the m-gon is 180 -360/30 = 168 degrees.

The exterior angle of the k-gon is 360/10 = 36 degrees.

The angle ratio is 168/36 = 14/3 as required.

3 0
3 years ago
Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth
antoniya [11.8K]

Answer:

The perimeter of the polygon is P=14.47\ units

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

d=\sqrt{(0-3)^{2}+(3+1)^{2}}

d=\sqrt{25}

dXY=5\ units

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}

d=\sqrt{20}

dYZ=4.47\ units

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}

d=\sqrt{25}

dXZ=5\ units

step 4

Find the perimeter

P=XY+YZ+XZ

P=5+4.47+5=14.47\ units

5 0
3 years ago
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