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valkas [14]
2 years ago
13

The ratio of the dimensions of a rectangular patio are 4:7. if the shorter

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

\frac{4}{7} =\frac{10}{x}

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: w*l

So we can plug our dimensions into the formula: 10*17.5=175

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is <u>175 square feet</u>.

PERIMETER

The formula for the perimeter of a rectangle is: 2(w+l)

We can plug our dimensions into the formula: 2(10+17.5)=55

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is <u>55 feet</u>.

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Answer:

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Step-by-step explanation:

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3 0
2 years ago
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(1 point) A tank contains 2640 L of pure water. A solution that contains 0.09 kg of sugar per liter enters the tank at the rate
OverLord2011 [107]

Answer:

t=0      Sugar = 0 Kg

t=1min Sugar=0.27 Kg

Step-by-step explanation:

Data

Tank = 2640 L (pure water)

Sol=0.09kg Sugar per liter

Vin = Vout = 3L/min

Sugar in the beginning = ?

if beginning is t = 0min Amount of sugar = 0, this is due to the fact that at the moment of entering the tank the content is only water , but if beginning is t= 1min then;

\frac{3L}{min}*\frac{0.09Kg}{L}=0.27kg/min

7 0
3 years ago
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Help here please. thank you
NISA [10]

Answer: A=C+7

Step-by-step explanation:

Let’s say hypothetically C=6, then B would be 4 since you would have to subtract 2 and A would be 13 since 4+9=13

The difference between 13 and 6 is 7, but that would work with any number and i’m just using c=6 as an example to make the problem easier to understand

4 0
2 years ago
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