Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
Answer:
(5h-4t)(5h+4t)
Step-by-step explanation:
25h² - 16t²
adding and subtracting 20ht from it (√25 and √16 = 5x4 = 20):
25h² + 20ht - 20ht -16t²
factor:
(5h-4t)(5h+4t)
Answer:
12.
Square root = 37,
Step-by-step explanation:
40^2 = 1600
35^2 = 30 * 40 + 25 = 1225
So the requred square is between 35 and 40
38^2 = 1444
37^2 = 1369 - so its this one.
Required difference = 1381 - 1369 = 12.
the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
Answer: -7b² + 2b - 8
Step-by-step explanation:
<u>Given expression</u>
3 - b (7b + 2) + 3b - (11 - b)
<u>Expand parentheses and apply the distributive property if necessary</u>
=3 - b · 7b - b · 2 + 3b - 11 + b
=3 - 7b² - 2b + 3b - 11 + b
<u>Combine like terms</u>
=-7b² + (3b - 2b + b) + (3 - 11)
=
Hope this helps!! :)
Please let me know if you have any questions
