Answer:
y=990
Step-by-step explanation:
1) Find the unit rate: 270 divided by 3= 90
2) Do 90 times 11 and it= 990
Answer:
x = 96.23 if x is the area of the base
x =21 if x is the side length of the base
Step-by-step explanation:
The volume of a square pyramid is given by
V=1/3 a^ 2 h
We know the volume is 441 and the area of the base is a^2 which is x
and the height is 1/7x
Substituting these values in
441 = 1/3 (x) 1/7x
441 =1/21 x^2
Multiply each side by 21
441*21 = 21*1/21 x^2
9261 = x^2
Take the square root of each side
sqrt(9261) = sqrt(x^2)
x = 96.23
I am thinking you mean x is the side length on the base
We know the volume is 441 and the area of the base is a^2 which is x^2
and the height is 1/7x
Substituting these values in
441 = 1/3 (x^2) 1/7x
441 =1/21 x^3
Multiply each side by 21
441*21 = 21*1/21 x^3
9261 = x^3
Take the cube root of each side
(9261) ^ (1/3) = (x^3)^(1/3)
21 =x
Answer:
I think it is correct
Step-by-step explanation:
length=10m
height=12
breadth = 3m
volume = l*b*h
10*12*3
120*3
360m^3
Answer:
<h2>
![\bold{a_n=2\cdot(-2)^{n-1}}\\\\or\\\\\bold{a_n=(-1)^{n-1}\cdot2^{n}}](https://tex.z-dn.net/?f=%5Cbold%7Ba_n%3D2%5Ccdot%28-2%29%5E%7Bn-1%7D%7D%5C%5C%5C%5Cor%5C%5C%5C%5C%5Cbold%7Ba_n%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn%7D%7D)
</h2>
Step-by-step explanation:
-4÷2 = -2
8÷(-4) = -2
-16÷8 = -2
So this is a geometric sequence with the first term of 2 and a common ratio of -2
the nth term of a geometric sequence: ![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
Therefore:
![a_n=2\cdot(-2)^{n-1}\\\\a_n=2\cdot(-1\cdot2)^{n-1}=2\cdot(-1)^{n-1}\cdot2^{n-1}=(-1)^{n-1}\cdot2^{n-1+1}\\\\a_n=(-1)^{n-1}\cdot2^{n}](https://tex.z-dn.net/?f=a_n%3D2%5Ccdot%28-2%29%5E%7Bn-1%7D%5C%5C%5C%5Ca_n%3D2%5Ccdot%28-1%5Ccdot2%29%5E%7Bn-1%7D%3D2%5Ccdot%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn-1%7D%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn-1%2B1%7D%5C%5C%5C%5Ca_n%3D%28-1%29%5E%7Bn-1%7D%5Ccdot2%5E%7Bn%7D)