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steposvetlana [31]
2 years ago
6

What is the volume of the carton? V = Bh Area of a triangle = 1/2 x b x h

Mathematics
2 answers:
solong [7]2 years ago
7 0

Let's first find the area of the base, which is a triangle.

B = 1/2 * 2 * 1.5

B = 1.5 in^2

Next, we can plug our values into the given volume formula and solve.

V = 1.5 * 7

V = 10.5 in^3

Hope this helps!! :)

Angelina_Jolie [31]2 years ago
5 0

Hi there!

\large\boxed{\text{ 10.5 in}^3}}

Begin by solving for the area of the base:

A = 1/2 (bh)

Thus:

A = 1/2(2 · 1.5) = 1.5 in²

Multiply by the depth to find the volume:

A = 1.5 × 7 = 10.5 in³

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Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does O
dlinn [17]

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

  • The first condition states that the animals have a total of 100 heads, that means;

                                   x+y=100

                                    x=100-y  -------------------- [equation 1]

{because one head of a duck and one head of cow}

  • The second condition states that the animals have a total of 354 feet, that means;

                                   2x+4y=354

                                   x+2y=177   --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

                                  100-y+2y=177

                                  y=177-100

                                    y = 77 cows

Putting this value of y in equation 1 we get;

                                 x = 100 - y

                                 x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

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Step-by-step explanation:

There are several ways we can find the area.  Probably the easiest is to cut the kite in half vertically and find the area of each triangle.  The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units.  So each triangle will have a base of 7 and height of 2.

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A = 1/2 (7) (2)

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