Step-by-step explanation:
The first term of the AP (a) = 3
and common difference (d) = 8-3= 5
therefore, a+(n-1)d = 78
=> 3+(n-1)5= 78
=> n-1=75/5
=> n-1 = 15
=> n= 16
16th term of the AP is 78
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70
--> substitute (and make sure your calculator in in degrees) x= 21. 284
Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Get a common denominator of 6
2/3 *2/2 - 1/6
4/6 - 1/6
3/6
Simplify
1/2
