Answer:
x = 2/3
Step-by-step explanation:
sin²30° + cos²30° + x.tan²60° = cot²30°
=> (1/2)² + (√3/2)² + x(√3)² = (√3)²
=> 1/4 + 3/4 + 3x = 3
=> 3x = 2
=> x = 2/3
Answer:
The scale factor is <u>5</u>
Step-by-step explanation:
To find the scale factor, we divide 17 by 3.4 to find how much it was enlarged by.
17/3.4 = 5
We do this becuase when finding the scale factor, we take the dilated shape/side length and divide it by the original shape/side length.
2w + 2L = 100
2w = L - 8
L - 8 + 2L = 100
3L = 108
L = 36
2w = L - 8
2w = 36 - 8
2w = 28
w = 14
Length is 36, Width is 14