Sample Response: There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Answer:
Make a triangle with an opposite side of 4 and adjacent side of 3 (hypotenuse is 5). You can now work out all trig functions for that angle. including sin(x)
Use the double angle formula to find sin(2x)
Step-by-step explanation:
Answer:
a = - 25
Step-by-step explanation:
Given that:
4a+6+16=-9(2+12a)-10(1-11a)
By simplifying:
- Adding like terms and multiplying constants into the bracket
- Negative sign will change the signs in the brackets
4a + 22 = -18 - 108a- 10 +110a
4a + 22 = -28 + 2a
- Taking terms with "a" to left side and others to right
- Signs of transferred terms will be changed
4a - 2a = -28 - 22
- Both terms on right side have negative sign so they wil be added and answer will have negative sign.
2a = -50
- Dividing both sides by 2 we get
a = -50/2
- Reducing to lowest term (dividing both by 2)
a = -25/
I hope it will help you!
Answer:
W = 14, L = 18
Step-by-step explanation:
If L = length and W = width, then:
252 = LW
L = W + 4
Substituting:
252 = (W + 4) W
252 = W² + 4W
0 = W² + 4W − 252
0 = (W + 18) (W − 14)
W = -18 or 14
Since W > 0, W = 14. Which means L = 18.
Option 3 is the correct because you have to solve it all together addition