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erica [24]
4 years ago
11

20. Which problems will have two decimal places in the product?Mark all that apply.531 x 107.4 x 10(A) 5 X 0.89E 3.2 x 43(D) 6.1

x 3

Mathematics
1 answer:
Schach [20]4 years ago
7 0
A and E When you multiply any equation with a decimal you add that many decimal places in the end. Ex: If you multiply 4.12×5.8 there will be 3 decimal places in the product because 4.12 had 2 decimal places and 5.8 had 1 decimal place and 2+1=3. The only exception is when you multiply a decimal with a number that ends with a 0 and is not a decimal like 10, 20, 30, 100, 1000, etc. If this is the case then put the decimal where it would have been and then move it right the same number as you have 0s. Ex: 1000× 5.82 would have been 5.82000*, but becomes 5,820.00*, which really is 5,820*. *continuous 0s after a decimal is unnecessary and will probably make you lose points on a test, but I was trying to prove a point
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Solution:

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As cosine 45 ° is always positive in first and fourth quadrant.

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As, Cos 45°, Cos (-45°) or Cos ( 360° - 45°)= Cos 315°are same.

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3 years ago
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bija089 [108]

Let <em>n</em> be the unknown number. We can write it as

<em>n</em> = 10<em>a</em> + <em>b</em>

with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).

Reversing the digits gives another number

<em>m</em> = 10<em>b</em> + <em>a</em>

The first number is increased by 54 when the digits are reversed, which means

<em>m</em> = <em>n</em> + 54   →   10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54   →   9<em>b</em> - 9<em>a</em> = 54   →   <em>b</em> - <em>a</em> = 6

The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so

<em>a</em> = 3<em>b</em>

Substitute this into the previous equation and solve for <em>b</em> :

<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6   →   <em>b</em> = -3

Solve for <em>a</em> :

<em>a</em> = 3<em>b</em> = 3(-3) = -9

Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93

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3 years ago
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Answer:

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