<h3>
Answer: (2/3)^3</h3>
Explanation:
Note how 8 = 2^3 and 27 = 3^3
This means, 8/27 = (2^3)/(3^3) = (2/3)^3
For the last step, I used the rule (a^c)/(b^c) = (a/b)^c
Answer:
- <u>0.5 s</u> (using 1 significan figure since the initial velocity is given with 1 significant figure)
Explanation:
Let's see what each term in the function v (t) = - 9.8t + 5 means:
The variable t is the time
The coffecient - 9.8 (which is negative) means that the velocity is reduced 9.8 m/s each second.
That means that the motion is uniformly decelerated with acceleration - 9.8 m/s².
The term + 5, means that the object was launched with an upward velocity of 5 m/s.
Hence the equation tells that after the object was launched upward it starts to lose speed and will reach a maximum height when the velocity is equal to zero, from which it starts falling.
So, you can calculate when the object reachs it maximum height and starts falling by making the velocity, v (t), equal to zero and solving for t. This is how you do it:
- v (t) = 0
- 0 = - 9.8t + 5
- 9.8t = 5 remember that the units of 9.8 is m/s² and of 5 is m/s
- t = 5 m/s / 9.8 m/s² = 0.51 s
So, the object starts fallin at 0.51 s. Since, the velocity is reported with 1 significant digit you answer should also show 1 significant digit, which means t = 0.5 s.
Answer: The missing number in the sequence is 
Step-by-step explanation:
Since we have given that
First term = a= 
Common difference = d is given by
Therefore, it forms an arithmetic sequence.
Since, 
is missing,
So,
Hence, the missing number in the sequence is
Answer:
14
Step-by-step explanation:
The diagram is right angle triangle so we can use SOHCAHTOA
So in the diagram we have 62 degree opposite to x and the hypotenuse
Step 1
Sin62=x/16
Step 2
X=16sin62 by cross multiplication
Step 3
X=14.13
X=14
Vertical angles are angles opposite each other where two lines cross
