Answer:
The value of 6 in 675,002 is 1000 times the value of 6 in 385,621.
Step-by-step explanation:
Given : 675,002 and 385,621
To find: what is the value of 6 .
Solution : We have given that 675,002 and 385,621.
In 675,002
here 6 is at hundred thousand place = 600,000
In 385,621.
here 6 is at hundred place = 600.
600,000 = 600 *1000
We can see that the value of 6 in 675,002 is 1000 times the value of 6 in 385,621.
Therefore, The value of 6 in 675,002 is 1000 times the value of 6 in 385,621.
Answer:
1) 32
2) 8 yards
Step-by-step explanation:
1. We must first subtract the base area of the pyramid from the total surface area to get the lateral surface area:
![LA=2225-25^2=1600](https://tex.z-dn.net/?f=LA%3D2225-25%5E2%3D1600)
The lateral surface area is 4 times the area of one the congruent triangles.
![LA=4\cdot \frac{1}{2}\cdot 25\cdot x](https://tex.z-dn.net/?f=LA%3D4%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%2025%5Ccdot%20x)
![\implies 1600=50x](https://tex.z-dn.net/?f=%5Cimplies%201600%3D50x)
![\implies \frac{1600}{50}=\frac{50x}{50}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7B1600%7D%7B50%7D%3D%5Cfrac%7B50x%7D%7B50%7D)
![32=x](https://tex.z-dn.net/?f=32%3Dx)
Therefore the height of the slant surface is 32 yards
2) The surface area of a cone is
, where l is the slant height.
We substitute the surface area S.A=151.58 and
to obtain:
![151.58=3.14\cdot 4^2+3.14\cdot 4 l](https://tex.z-dn.net/?f=151.58%3D3.14%5Ccdot%204%5E2%2B3.14%5Ccdot%204%20l)
![151.58=50.24+12.56l](https://tex.z-dn.net/?f=151.58%3D50.24%2B12.56l)
![101.34=12.56l](https://tex.z-dn.net/?f=101.34%3D12.56l)
![\frac{101.34}{12.56}=l](https://tex.z-dn.net/?f=%5Cfrac%7B101.34%7D%7B12.56%7D%3Dl)
l=8.06
To the nearest whole number, the slant height is 8 yards
Answer:
It represents the height of the rock 3.2 seconds after it is propelled.
Step-by-step explanation:
The given function is;
.
means we are substituting
into the given function.
Since, the function represents the height of a rock T seconds after it's propelled by a slingshot,H(3.2) represents the height of the rock 3.2 seconds after it is propelled.
The correct answer therefore the last option.
Answer:
29.17 hours
Step-by-step explanation:
to find the zero of the function, set d to equal zero, so
0 = 70 - 2.4t
-70 = -2.4t
-70/-2.4 = t
29.17 = t
Answer:
g=2160
Step-by-step explanation:
multiply both sides by 12
180*12=2160
g=2160