Using the Theorem of Pythagoras (a² + b² = c²)
Put in the values:
12² + 12² = 28²
Is it correct? (solve)
Nope! Because 12² + 12² = 288, and the square root of 288 is about 17, not 28.
The answer is no, 12cm, 12cm, 28cm cannot form a triangle.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer:
What is the question? Maybe I could help.
Answer:
a.
<u>cos θ = 2/5, tan θ = ?</u>
- tan θ = sin θ / cos θ
- tan θ = √sin² θ / (2/5)
- tan θ= 5√(1 - cos²θ) / 2
- tan θ = 5√(1 - 4/25) / 2
- tan θ = 5√(21/25) / 2
- tan θ = √21 / 2
b.
<u>cosec θ = 7/3, cos θ = ?</u>
- cosec θ = 1/ sin θ
- cosec θ = 1/ √(1 - cos²θ)
- √(1 - cos²θ) = 1 / cosec θ
- 1 - cos²θ = (1 / (7/3))²
- cos²θ = 1 - 9 / 49
- cos²θ = 40/49
- cos θ = √40/49
- cos θ = 2√10/7
c.
<u>cot θ = 4/3, sec θ = ?</u>
- cot θ = cos θ / sin θ
- cos θ = cot θ * sin θ
- cos θ = 4/3 * √(1 - cos²θ)
- 9cos²θ = 16(1 - cos²θ)
- 25cos²θ = 16
- cos²θ = 16/25
- cos θ √16/25
- cos θ = 4/5
- sec θ = 1/ cos θ
- sec θ = 1/ (4/5)
- sec θ = 5/4
d.
<u>tan θ = 3, cosec θ = ?</u>
- sin²θ + cos²θ = 1
- 1 + cos²θ/sin²θ = 1/ sin²θ
- 1 + 1/tan²θ = cosec²θ
- 1 + 1/9 = cosec²θ
- cosec²θ = 10/9
- cosec θ = √(10/9)
- cosec θ = √10 / 3
Answer:
From the figure shown the coordinates of W'X'Y'Z' are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5)
The coordinates of the pre-image that yeilded W'X'Y'Z' according to the rule (-x, -y) can be obtained by changing the signs of the coordinates of W'X'Y'Z'.
Thus, the coordinates of the pre-image that yeilded W'X'Y'Z' are W(-2, -3), X(-6, -3), Y(-6, -4) and Z(-3, -5).
Therefore, the correct graph is graph c.
(Need to update complete question)
Since it's asking you to write a problem about a sharing division "situation", I'm assuming the picture above it is part of #4 so you could use that as a reference as well.
You could do 2 divided by 5 which is left with a remainder. So it could be like, "Jack has 5 cookies and wants to share with his friends, he wants to give each of his two friends 2 cookies each".. Something like that and you go ahead and solve it. The final answer will be the solution to your word problem. I hope this helped