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Irina18 [472]
3 years ago
11

Which rates are unit rates? Check all the apply.

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

  • 9 students : 1 table
  • 87 pebbles per aquarium
  • 10 slices for each child

Step-by-step explanation:

A "unit" rate is one that has a denominator of 1 unit.

12 apples : 3 baskets has a denominator of 3, so is not a unit rate. It could be made into a unit rate of 4 apples : 1 basket by dividing the numbers by 3.

Similarly, $5 for 4 muffins has a denominator of 4, so is not a unit rate. The equivalent unit rate is ($5/4) per muffin, or $1.25 per muffin.

All of the other offered choices are unit rates. (See list above.)

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Answer:

From the information we can conclude that the triangle is a isosceles triangle.

First, we can calculate the hypotenuse by using pythagorean theorem:

√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)

To calculate the area of the triangle, we first need to know the height of it.

Since this is a isosceles triangle, the altitude (which is also the height) will also  be the median of that triangle.

Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.

From the reasoning above, we can now calculate the height of the triangle:

8/2 = 4(cm)

The area of the triangle should be:

S = hb/2 = (4 . 6)/2 = 12 (cm²)

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