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3 years ago

6

How do I find the perimeter of these regular polygons when only given the area. PS only allowed to use a=1/2bh formula, no other

area or perimeter formulas.

1 answer:

timama [110]3 years ago

7 0

Answer:

7. 25 and 8. 18. I think it is. I hoped that is was right.

Step-by-step explanation:

150/6=25. 90/5=18.

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Can someone please help me with these? I will give you the brainliest answer and also give extra points! I really need help :(

Ierofanga [76]

Answer:

1. No solution

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3. One solution

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6. One solution

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Step-by-step explanation:

6 0

2 years ago

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

2 years ago

John’s teacher wants to buy giant cookies for the entire class of cookies cost $2.40 each write an equation that shows how many

krek1111 [17]

40 ÷ 2.40= 16.66
the teacher can buy 16 cookies

4 0

2 years ago

4(x-1) + (x+2) + 3(x+1)

dusya [7]

Answer:

8x+1

Step-by-step explanation:

4(x-1) + (x+2) + 3(x+1)

4x-4 + x+2 + 3x+3

combine all x

4x+x+3x= 8x

combine all numbers without variables

(-4) + 2+3=1

8x+1

8 0

2 years ago

Mary is trying to save money for a car. The equation y= 250x+1000 represents how much she saves, where y is the amount in her sa

Liono4ka [1.6K]

Answer:

it'll take her 36 months

Step-by-step explanation:

i just plugged in random numbers into the calculator-_-

5 0

2 years ago