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1 year ago

96.5 times 2.54 i know the answer i just need help showing the work

Mathematics

2 answers:

Ivanshal [37]1 year ago

6 0

At first just take out the decimals and multply numbers normally.

Then get your answer. Then check how many decimal places there are in

96.5 * 2.54 which is 3

then in the answer count three down from the end at 0 and place your point at 3 decimal places!

kogti [31]1 year ago

3 0

You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward

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Consider all options:

$\tan A=\dfrac{\sin A}{\sin C}$

By the definition,

$\tan A=\dfrac{BC}{AB},\\ \\\sin A=\dfrac{BC}{AC},\\ \\\sin C=\dfrac{AB}{AC}.$

Now

$\dfrac{\sin A}{\sin C}=\dfrac{\dfrac{BC}{AC}}{\dfrac{AB}{AC}}=\dfrac{BC}{AB}=\tan A.$

Option A is true.

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By the definition,

$\cos A=\dfrac{AB}{AC},\\ \\\tan (90^{\circ}-A)=\dfrac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}=\dfrac{\sin C}{\cos C}=\dfrac{\dfrac{AB}{AC}}{\dfrac{BC}{AC}}=\dfrac{AB}{BC},\\ \\\sin (90^{\circ}-C)=\sin A=\dfrac{BC}{AC}.$

Then

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Option B is false.

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By the definition,

$\sin C=\dfrac{AB}{AC},\\ \\\cos A=\dfrac{AB}{AC},\\ \\\tan C=\dfrac{AB}{BC}.$

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Option C is false.

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$\cos A=\dfrac{AB}{AC},\\ \\\tan C=\dfrac{AB}{BC}.$

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This option is false.

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1 year ago

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Answer:

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Answer: 250 mi

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Here we can think in a triangle rectangle:

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And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

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8/a = 2/3

By cross multiplication we now have

8 x 3 = 2a

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Let the number of sweets he had on day two be called b. If he ate one-third of b and he had 12 left over, then the two-thirds left over is 12 and we now have;

12/b = 2/3

By cross multiplication we now have

12 x 3 = 2b

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36/2 = b

b = 18

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18/x = 2/3

By cross multiplication we now have

18 x 3 = 2x

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x = 27

Therefore Tim was given 27 sweets at the beginning.

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2 years ago