Answer:
t=9/5
Step-by-step explanation:
Answer:
![v=-1.46 \ m/s](https://tex.z-dn.net/?f=v%3D-1.46%20%5C%20m%2Fs)
Step-by-step explanation:
So, as balloon reaches its maximum height i.e. 11 m , its velocity become 0.
Therefore,
.
It is given that acceleration due to gravity should be taken as ,
.(because it direction is down)
Now it is also given that upward direction is positive and downward direction is negative. So velocity should be negative.
Using equation of motion,
.....eqn 1.
where , displacement = -11 m(because it displace towards down) and ![a=g=-9.8\ m/s^2](https://tex.z-dn.net/?f=a%3Dg%3D-9.8%5C%20m%2Fs%5E2)
Putting these values in eqn 1 .
![v_{final}^2-0^2 =2\times 9.8 \times 11](https://tex.z-dn.net/?f=v_%7Bfinal%7D%5E2-0%5E2%20%3D2%5Ctimes%209.8%20%5Ctimes%2011)
![v = \pm1.46 m/s.](https://tex.z-dn.net/?f=v%20%3D%20%5Cpm1.46%20m%2Fs.)
But as we know direction of velocity is downward.
Therefore, ![v=-1.46 \ m/s](https://tex.z-dn.net/?f=v%3D-1.46%20%5C%20m%2Fs)
where negative sign indicates its direction is downward.
Answer:
14 cm
Step-by-step explanation:
Given:
A mug can hold 13.46 oz of coffee.
The radius of the mug is 3 cm.
Given that 1
equals 0.034 oz.
Question asked:
What is the height of the mug to the nearest centimeter ?
Solution:
Given that 1
equals 0.034 oz.
By unitary method:
0.034 oz = 1 ![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
1 oz = ![\frac{1}{0.034}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.034%7D)
13.46 oz =
A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88
. Now we can find the height of the mug by using volume of cylinder formula:
volume of cylinder = ![\pi r^{2} h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h)
![395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}](https://tex.z-dn.net/?f=395.88%3D%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes3%5Ctimes3%5Ctimes%20%5C%20h%5C%5C395.88%3D%5Cfrac%7B198%20%5C%20h%7D%7B7%7D)
By cross multiplication:
![395.88\times 7 =198\ h\\2771.16= 198\ h](https://tex.z-dn.net/?f=395.88%5Ctimes%207%20%3D198%5C%20h%5C%5C2771.16%3D%20198%5C%20h)
By dividing both side by 198
![cm](https://tex.z-dn.net/?f=cm)
Therefore, height of the mug to the nearest centimeter is 14 cm.
Answer:
the equation will be:
![\mathbf{x-5=3}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx-5%3D3%7D)
solving the equation we get x=8
Option B is correct.
Step-by-step explanation:
We need to write equation for this sentence:
The difference between a number and five equals three.
Let number = x
So, the equation will be:
![\mathbf{x-5=3}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx-5%3D3%7D)
Now, solving the equation to find value of x
![x-5=3](https://tex.z-dn.net/?f=x-5%3D3)
Adding 5 on both sides
![x-5+5=3+5\\x=8](https://tex.z-dn.net/?f=x-5%2B5%3D3%2B5%5C%5Cx%3D8)
So, solving the equation we get x=8
Option B is correct.