Answer:
CD = 30.43; LK = 14.08
Step-by-step explanation:
Problem 12.
Let's first find BD. Triangle ADB is a right triangle with hypotenuse AB. By definition of sine ( or by theorem, they're equivalent)
, hence BD= 16.18. Jump on the other side now. Triangle BDC is a right triangle with sides BD and CD. By definition of tangent
, thus CD= 30.43.
Problem 13
Assuming the 72° is angle JLK
As usual, triangle MJL is a right triangle with sides MJ and LJ. By definition of tangent
. Follows that JL = 14.81. Now, similarly, trinagle JLK is a right triangle, with hypotenuse JL. From the definition of sine, as before,
. Solving for the only unknown value, you find LK = 14.08.
Please double check the calculations and feel free to add more digits if required
7. 40/5=8. 40-8=32 32
8. 8*2=16 40-16=24. 24
9. 5/6
1 ten 16 ones=1*10+16*1=10+16=26
Hope this helps!
Answer:
12, 24, 30, 36, 42, 48, 54, 60, 66, 72
45n+15
Factor out 15 from the expression
15(3n+1)