4 = 7 - 3
1 = 4 - 3
-2 = 1 - 3
-5 = -2 - 3
=> An = A (n-1) - 3, where A1 = 7
The next term is A6 = A5 - 3 = - 5 - 3 = - 8
So the answer is the fourth option.
Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
18 : 3 = 6 : 1
Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 18 and 3 is 3
Divide both terms by the GCF, 3:
18 ÷ 3 = 6
3 ÷ 3 = 1
The ratio 18 : 3 can be reduced to lowest terms by dividing both terms by the GCF = 3 :
18 : 3 = 6 : 1
Therefore:
18 : 3 = 6 : 1
Start with the sum of x and 9, giving the expression
This is divided by 2 so
This equals 3x so the equation is
This can the be solved.
Multiply both sides by 2 to get
Then take x from both sides
Divide by 5 to get the value for x
