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dsp73
3 years ago
13

The second side of a triangular deck is 5 feet longer than the shortest side. The third side of the deck is 5 feet shorter than

twice the length of the shortest side. If the
perimeter of the deck is 60 feet, what are the lengths of the three sides?
The shortest side of the deck is feet.
(Simplify your answer.)
Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

Step-by-step explanation:

60= s+5  + 2s-5 + s

60 = 4s

15 = s

the short side is 15

the 2nd side is 20

the 3rd side is 25

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a scientist notes that the number of bacteria in a colony is 50.3 hours later, she notes that the number of bacteria has increas
sergejj [24]

It will take 5.83 hours for the bacteria to reach 1119.

<h3>What is exponential Growth ?</h3>

Exponential growth is when the quantity increases according to the function

P_t = P_0 e^{ kt}

It is given in the question that

Initial number of Bacteria is 50

After 3 hours the bacteria has increased to 80

The bacterial growth is an exponential growth

P_t = P_0 e^{ kt}

80 = 50 e^{ k * 3}

Applying log on both sides

1.6 = 3*k

k = 1.6/3

k = 0.533

if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119

1119 = 50e^{0.533* t}\\\\3.18 = 0.533 *t\\\\5.83 = t

Therefore it will take 5.83 hours for the bacteria to reach 1119.

To know more about exponential growth.

brainly.com/question/11487261

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6 0
2 years ago
Read 2 more answers
A 48 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Y_Kistochka [10]

Complete question :

A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three

Answer:

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

Step-by-step explanation:

Let :

Length of first piece = x

Length of second = 2x

Length of third = 3x

The total lengtb of board = 48 inches

Hence,

First + second + third = 48

x + 2x + 3x = 48

6x = 48

x = 48 / 6

x = 8

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

6 0
4 years ago
Lemons cost $3.25 per pound.Write an inequality to show how many pounds of lemons you can buy with $14.What is the most you can
irina1246 [14]
$3.25x\leq$14

14/3.25 = 4.31
The most you can buy is: 4 pounds
4 0
3 years ago
PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!
Aneli [31]

Answer:

Answers are all in pictures.

5 0
3 years ago
Read 2 more answers
Can you solve it ????
Dima020 [189]
Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2   


Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees


7 0
3 years ago
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