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nordsb [41]
3 years ago
6

Express as a product:

sin^2\alpha" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

(1 - 2sinα)(1 + 2sinα)

Step-by-step explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)

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insens350 [35]
The answer is 22,440......4 miles is 21,120 feet....1/4 of a mile is 1,320 feet.... so when you add em up you get 22,440 feet
3 0
4 years ago
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4 × square root of 3​
Oksi-84 [34.3K]

<h3><u>Solution</u><u>:</u></h3>

Please find the photograph for the square root of 3.

  1. Firstly, you have to write 3 as 3. 00 00 00.
  2. Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.
  3. Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200.
  4. Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100.
  5. Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100.
  6. So, we will get the quotient as 1.732 (corrected to three places of decimal).

4√3

= 4 × 1.732

= 6.928

<h3><u>Answer:</u></h3>

<u>6</u><u>.</u><u>9</u><u>2</u><u>8</u>

Hope it helps

8 0
3 years ago
Clare travels at a constant speed, as shown on the double number line
Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles)                  Elapsed time (hours)              Speed (miles/hour)

       0                                        0                                          0

       72                                      2                                          36

       144                                     4                                          36

       216                                     6                                          36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36  = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

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salantis [7]
The total is 191.008 centimeters.
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3 years ago
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