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vivado [14]
3 years ago
12

When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. Why?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0
1 can be interpreted as a "whole" thing, and smaller than 1 is a part of a thing.

imagine: if you have some cakes and you count the number of cake pieces, those will be more than the number of cakes: as each cake will have more than one piece! (otherwise it wouldn't be called a piece!)

so the result of a division by a fraction is bigger than the original number, there are more parts than wholes in the results, as each whole has multiple parts!

for example: divide 3 cakes into pieces which are 1/4th of a cake. how many such pieces would there be? 12! more than the 3 original cakes;

is this possible to understand? tell me if not!
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Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
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Answer:

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<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

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Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

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∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

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∵ The measure of arc AB = 45° × 2 = 90°

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∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

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