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bogdanovich [222]
3 years ago
6

An angle measures 12°. Find its complement. Do not include units in your answer.

Mathematics
2 answers:
polet [3.4K]3 years ago
8 0

Answer:

78

Step-by-step explanation:

complements = 90

x + 12 = 90

-12. -12

× = 78

shtirl [24]3 years ago
8 0

If two angles are <u>complementary</u>,

then the sum of their measures is 90 degrees.

If two numbers add to 90, we can represent those numbers as <em>x</em> and <em>90 - x</em>.

So we will call one of our angles x and its complement as 90 - x.

So we have 90 - 12 which is 78.

So the complement of a 12° angle is a 78° angle.

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A recipe for 48 cookies use 2 and 2/3 cups of biscuit mix how many cookies are made from each cup of cookies
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<u>hope this helps :)</u>

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3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

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Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

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<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
3 years ago
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