2 years ago

1. What is the place value of the 9 in 0.964?*

Mathematics

1 answer:

balandron [24]2 years ago

6 0

Answer:

0.9

Step-by-step explanation:

remove all the other digits OR

divide by ten after the d. p.

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Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

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3 years ago

Say that a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Find b if a = 21 and c =

maria [59]

When the triangle is a right triangle, you can use the Pythagorean theorem. The formula would be

c^2 = a^2 + b^2

If a = 21 and c=29, thus

b^2 = c^2 - a^2
b^2 = 29^2 - 21^2
b^2 = 400
b = square root (400)
b = 20 units.

Thus, the answer is <span>D) B = 400</span>

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2 years ago

Read 2 more answers

I neeeddd helppppppppp

Marina CMI [18]

Answer:

Step-by-step explanation:

A and D are opposite.

A is in the negative side and d is in the positive side.

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