2 years ago

Let a and b be natural numbers for which a divides b. then a is less than or equal to b

Mathematics

1 answer:

expeople1 [14]2 years ago

8 0

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A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Pr

ANEK [815]

Answer: The required fraction = $\dfrac18$

Step-by-step explanation:

Let the required fraction = $\dfrac{p}{q}$

Given: Initial height = 192 inches

Height of ball after second bounce = $\dfrac{p}{q}\times192$

Height of ball after third bounce = $\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}$

After the third bounce it is 3 inches off the ground.

So,

$(\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}$

Hence, The required fraction = $\dfrac18$

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2 years ago

Quadrilateral DEFG has at least one pair of opposite sides congruent. What types of quadrilaterals meet this condition?

zhuklara [117]

Answer:

Parallelogram, Rectangle, Square, Rhombus, Trapezoid. ... ANSWER Trapezoid: there is one pair of parallel sides

Step-by-step explanation:

there is one pair of parallel sides

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2 years ago

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anyanavicka [17]

Answer:

$50.40 is the answer

Step-by-step explanation:

12% of 45 is 5.40 so if we add $5.40 and $45 we get $50.40

hope this helps ^-^ have a wonderful day

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Step-by-step explanation:

1 is 13.86 2 is 16

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