729. You just do 9 to the power of 3 or 9^3 and you will get 729. If it is not allowed, the answer is 504.(9 x 8 x 7)
Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2 A = 15 m x 30 m A = 30 m x 18 m
= (18 m x 12 m )/2 = 450 m^2 = 540 m^2
= 216 m ^2/2
= 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2
= 216 m^2 +1080 m^2 + </span><span>450 m^2
= 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.</span>
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Yes, the 3 feet are important.
<span>You can consider the datum (y=0) at 3' from the ground, and the ground is therefore at -3 feet. </span>
<span>The vertical initial velocity, vy, is u*sin(θ), so it gives </span>
<span>vy=55sin(44°)=38.21 approx. </span>
<span>The (vertical) distance travelled is given by: </span>
<span>S=vy*t-(1/2)gt² </span>
<span>where </span>
<span>S=-3 (ground) </span>
<span>vy=55sin(44°), and </span>
<span>g=32.2 ft/s² </span>
<span>Solve for t. </span>
<span>I get -0.08 and 2.45 s.</span>
Answer:
The smallest model - bottom right - in the question diagram represents
.
Step-by-step explanation:
Considering the radical expression
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
Lets simply this radical expression first
As
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)

![=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200)
![\sqrt[3]{4^3}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D4)

Therefore, ![\sqrt[3]{64}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D4)
Now, as we can determine that
. So, the smallest model in the question diagram represents
as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.
Therefore, the smallest model - bottom right - in the question diagram represents
.
Keywords: square cube root, radical expression
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Answer:
5040
Step-by-step explanation:
7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1
HOPE THIS HELPS