Step-by-step explanation:
to fine the average add all the numbers and divide the 5
18+12+11+10+12/5 =53.4
Answer:
Step-by-step explanAnswer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5ation:
Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
<h3>What is the hang time equation?</h3>
The hang-time of the ball for a player of jump h is given by:
![t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}](https://tex.z-dn.net/?f=t%20%3D%202%5Cleft%28%5Cfrac%7B2h%7D%7B32%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
The expression can be simplified as:
![t = 2\sqrt{\frac{h}{16}}](https://tex.z-dn.net/?f=t%20%3D%202%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D)
For a player that has a hang time of 0.9s, the jump is found as follows:
![0.9 = 2\sqrt{\frac{h}{16}}](https://tex.z-dn.net/?f=0.9%20%3D%202%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D)
![\sqrt{\frac{h}{16}} = \frac{0.9}{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D%20%3D%20%5Cfrac%7B0.9%7D%7B2%7D)
![(\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D%29%5E2%20%3D%20%5Cleft%28%5Cfrac%7B0.9%7D%7B2%7D%5Cright%29%5E2)
![h = 16\left(\frac{0.9}{2}\right)^2](https://tex.z-dn.net/?f=h%20%3D%2016%5Cleft%28%5Cfrac%7B0.9%7D%7B2%7D%5Cright%29%5E2)
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
![0.8 = 2\sqrt{\frac{h}{16}}](https://tex.z-dn.net/?f=0.8%20%3D%202%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D)
![\sqrt{\frac{h}{16}} = \frac{0.8}{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D%20%3D%20%5Cfrac%7B0.8%7D%7B2%7D)
![(\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7B%5Cfrac%7Bh%7D%7B16%7D%7D%29%5E2%20%3D%20%5Cleft%28%5Cfrac%7B0.8%7D%7B2%7D%5Cright%29%5E2)
![h = 16\left(\frac{0.8}{2}\right)^2](https://tex.z-dn.net/?f=h%20%3D%2016%5Cleft%28%5Cfrac%7B0.8%7D%7B2%7D%5Cright%29%5E2)
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
More can be learned about equations at brainly.com/question/25537936
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Answer:
The surface area of the cylinder is ![\mathbf{70\pi\;\textbf{cm}^2}](https://tex.z-dn.net/?f=%5Cmathbf%7B70%5Cpi%5C%3B%5Ctextbf%7Bcm%7D%5E2%7D)
Step-by-step explanation:
The surface area of a cylinder is express
![S=2\pi rh](https://tex.z-dn.net/?f=S%3D2%5Cpi%20rh)
where
is the radius of the cylinder and
its height
Therefore, if the radius of the cylinder is
![r=5\;\text{cm}](https://tex.z-dn.net/?f=r%3D5%5C%3B%5Ctext%7Bcm%7D)
and its height
![h=7\;\text{cm}](https://tex.z-dn.net/?f=h%3D7%5C%3B%5Ctext%7Bcm%7D)
the surface area should be
![S=2\pi r h\\S=2\pi (5\;\text{cm})(7\;\text{cm}) \;\;\;\;\;\Rightarrow\;\;\;\;\; \mathbf{S=70\pi\;\textbf{cm}^2}](https://tex.z-dn.net/?f=S%3D2%5Cpi%20r%20h%5C%5CS%3D2%5Cpi%20%285%5C%3B%5Ctext%7Bcm%7D%29%287%5C%3B%5Ctext%7Bcm%7D%29%20%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5CRightarrow%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%20%5Cmathbf%7BS%3D70%5Cpi%5C%3B%5Ctextbf%7Bcm%7D%5E2%7D)
Answer:
![V_2 = 583.67](https://tex.z-dn.net/?f=V_2%20%3D%20583.67)
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
![V_1 = 1751](https://tex.z-dn.net/?f=V_1%20%3D%201751)
Required
Find V2
The volume of a cylinder is:
![V_1 = \pi r^2h](https://tex.z-dn.net/?f=V_1%20%3D%20%5Cpi%20r%5E2h)
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
![V_2 = \frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Substitute
for
.
![V_2 = \frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![V_2 = \frac{1}{3}V_1](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1%7D%7B3%7DV_1)
Substitute 1751 for V1
![V_2 = \frac{1}{3} * 1751](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%201751)
![V_2 = \frac{1* 1751}{3}](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1%2A%201751%7D%7B3%7D)
![V_2 = \frac{1751}{3}](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B1751%7D%7B3%7D)
![V_2 = 583.67](https://tex.z-dn.net/?f=V_2%20%3D%20583.67)
<em>The volume of the cone is 583.67 cubic units</em>