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Fynjy0 [20]
3 years ago
7

Help pleaseee. 20 points!

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

1. always true

2. always true

3. sometimes true

4. always true

5. never true

Step-by-step explanation:

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tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2  = 1/(√2 + 1) = (√2 - 1)
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3 years ago
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1•2•3•.....•2015.please help
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That is 2015! or 2015 factorial
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7 0
4 years ago
The length of one side of a square is (x + 2 1/4). If the perimeter is 14 units, what is the area?
Stels [109]

The perimeter is the total of adding all of the side lengths together.

A square has 4 equal side lengths.

So the perimeter of a square is:

P = s + s + s + s  or  P = 4s

[P = perimeter       s = side lengths of the square]


Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)

P = 4s

P = 4(x + 2 1/4)  Multiply 4 into (x + 2 1/4)

P = 4x + 8 4/4

P = 4x + 9

Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)

P = 4x + 9

14 = 4x + 9  Subtract 9 on both sides

5 = 4x  Divide 4 on both sides

5/4 = x


Now that you know x, find the side length of the square.

(x + 2 1/4)

(5/4 + 2 1/4)

2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units


To find the area of a square, you multiply 2 of the sides together:

A = s · s  

A = 3.5 · 3.5

A = 12.25 units²

7 0
3 years ago
If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott
Anika [276]

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

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3 years ago
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WINSTONCH [101]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
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The best and most correct answer among the choices provided by the question is </span>   <span>an = −4(−5)n − 1 where n ≥ 1 .
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4 years ago
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