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2 years ago

Kevin drew 2 two dimensional shapes that had 9 angles in all. Draw the shapes Kevin could have drawn.

Mathematics

2 answers:

GenaCL600 [577]2 years ago

7 0

It could've been a PENTAGON and a SQUARE.
It could've been a HEXAGON and a TRIANGLE.

Nikolay [14]2 years ago

7 0

Answer with explanation:

Kevin could have drawn a regular Convex Nonagon(9 sides and 9 angles) and a simple Convex Nonagon (9 sides and 9 angles).

A polygon is said to be convex, if all the angles of polygon lie in the Interior.

A polygon is said to be regular, if it's all sides and all interior as well as exterior angles are equal.

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A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing

3241004551 [841]

Answer:

800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be $x.$

And the pints of 20% butterfat be $y.$

So, the total pints of milk:

$x+y=1000$

$x=1000-y$ ......(1)

As, given:

1,000 pints of milk that contains 8% butterfat.

The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.

According to question:

$5(x)+20(y)=8(1000)$

$5x+20y=8000$

Substituting the value of $x$ from equation (1):

$5(1000-y)+20y=8000$

$5000-5y+20y=8000$

$5000+15y=8000$

Subtracting both sides by 5000 we get:

$15y=3000$

Dividing both sides by 15 we get:

$y=200.$

The pints of 20% butterfat = 200 pints.

Now, to get the pints of 5% butterfat we put the value of $y$ in equation (1):

$x=1000-y$

$x=1000-200$

$x=800.$

The pints of 5% butterfat = 800 pints.

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

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