Answer: 1.4 seconds
<u>Step-by-step explanation:</u>
The equation is: h(t) = at² + v₀t + h₀ where
- a is the acceleration (in this case it is gravity)
- v₀ is the initial velocity
- h₀ is the initial height
Given:
- a = -9.81 (if it wasn't given in your textbook, you can look it up)
- v₀ = 12
- h₀ = 3
Since we are trying to find out when it lands on the ground, h(t) = 0
EQUATION: 0 = 9.81t² + 12t + 3
Use the quadratic equation to find the x-intercepts
a=-9.81, b=12, c=3

Note: Negative time (-0.2) is not valid
Answer: 1.08T and (1+8/100)T
Step-by-step explanation:
Given: The average temperature two Sundays ago was T degrees Celsius.
Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.
⇒ The average temperature last Sunday
Since 8%=0.08
Therefore, The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
⇒ The average temperature last Sunday
Thus, the right option is 1.08T and (1+8/100)T.
The answer should not depend on which machine or which pencil you use to
find it. If you work a problem two different ways and get two different answers,
then at least one of them is wrong, and there's a pretty good chance that both
of them are.
(9.99 of anything) + (1.11 of the same thing) = 11.1 of them
9.99 (x 10^-2) + 1.11 (x 10^-2) = <em>11.1 (x 10^-2)</em> .
Can we do any more with that ?
10^-2 = 1 / 10^2 = 1 / 100 .
11.1 x 10^-2 = 11.1 / 100 = <em>0.111</em>
The image of the diagram is missing, so i have attached it.
Answer:
a = 30°
Step-by-step explanation:
From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.
The sum of interior supplementary angles is 180°
Thus;
5a + a = 180
6a = 180
a = 180/6
a = 30°