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3 years ago

Please help with this question.

Mathematics

1 answer:

Anit [1.1K]3 years ago

4 0

The equation is

Area of a triangle = (1/2) · (base) · (height)

Plug in the numbers given in the question:

52 square inches = (1/2) · (base) · (13 inches)

Divide each side by (13 inches):

4 inches = (1/2) · (base)

Multiply each side by 2 :

8 inches = base

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A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solut

sergey [27]

Answer:

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A

Option C) dA/dt = 15 - 0.005A is the correction Answer

Step-by-step explanation:

Given the data in the question;

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?

dA/dt = rate in - rate out

first we determine the rate in and rate out;

rate in = 3pound/gallon × 5gallons/min = 15 pound/min

rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min

= 0.005A pounds/min

so we substitute

dA/dt = rate in - rate out

dA/dt = 15 - 0.005A

Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A

Option C) dA/dt = 15 - 0.005A is the correction Answer

8 0

3 years ago

45x + 10

igor_vitrenko [27]

D because when you distribute the 5 into both numbers your product becomes 45x + 10

4 0

3 years ago

Read 2 more answers

list as many combinations of three dimensions you can come up with that would give you a volume if 1536 cubic feet.

Monica [59]

Answer:

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

4.) Length = 8ft, width = 32ft, height = 6ft

5.) Length = 6ft, width = 8ft, height = 32ft

6.) Length = 16ft, width = 4ft, height = 24ft

7) Length = 12ft, width = 8ft, height = 16ft

8.) Length = 2ft, width = 64ft, height = 12ft

9.) Length = 48ft, width = 16ft, height = 2ft

Step-by-step explanation:

To obtain a volume of 1536 cubic feet:

This means Length × width × Height equals 1536ft^3

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

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3 years ago

A research center poll showed that 83% of people believe that it is morally wrong to not report all income on tax returns. What

Marat540 [252]

The answer is .17 you subtract 1-.83

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3 years ago

Based on the information below, choose the correct answer.

Arte-miy333 [17]

The dollar amount of each monthly payment is interest
7,865.87÷120=65.55

The percent of the total payments is total interest
(7,865.87÷27,865.87)×100=28.2%

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3 years ago