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2 years ago

What is the area and perimeter of the following figure

Mathematics

1 answer:

malfutka [58]2 years ago

3 0

Answer:

AREA: 3000 sq. un. PERIMETER: 232 un.

Step-by-step explanation:

The area of the parallelogram + the two added triangles is 3360. The area of each added triangle is 180. So, 3360 - 2(180) is 3000. That's the area.

To find the perimeter, use the pythagorean theorem. 1600 + 81 = c^2. 41 = c. So after all this, you can finally do 75 + 75 + 41 + 41 = 232

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3 years ago

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 183.0 milligrams of vitamin C.

uysha [10]

Answer:

Apple juice there are 95.9 mg

Orange juice there are 87.1 mg

Step-by-step explanation:

We can get a system of equations from the statement.

Let x be the amount of vitamin C in apple juice

Let y be the amount of vitamin C in orange juice

Now, with the statement we have to:

x + y = 183 (1)

2 * x + 3 * y = 453.1 (2)

We have an equation system, of 2 equations with 2 unknowns, that is, it has a solution.

If we multiply the first equation by 2 and subtract the second equation, we are left with:

2 * x + 3 * y - 2 * x - 2 * y = 453.1 - 2 * 183

Solving

y = 453.1 - 366

y = 87.1

Now to calculate x:

x + y = 183

x + 87.1 = 183

x = 183 - 87.1

x = 95.9

To check:

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%3D%20183%3B%202%5Ccdot%20x%20%2B%203%5Ccdot%20y%20%3D%20453.1

Therefore in apple juice there are 95.9 milligrams of vitamin C and in orange juice there are 87.1 milligrams.

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3 years ago

Read 2 more answers

What is the area and perimeter of the following figure​

What is the area and perimeter of the following figure