Answer:
The width is 7 inches and the length is 9 inches
Step-by-step explanation:
So we can divide 32 by 2 because we know perimeter is 2(l*w)
So it becomes 16, and it is now (l*w)
We know that the length is 2 inches longer so we subtract 2 from 16.
It then becomes 14 inches so therefore we can then divide it by 2.
14 divided by 2 is 7 and therefore we add 2 because we subtracted the two from earlier temporarily.
Therefore the width is 7 and the length is 9.
Answer:
d
Step-by-step explanation:
...........
..........
correct ans is D
Answer:
Step-by-step explanation:
Answer:
Therefore the value of a is 3.78.
Step-by-step explanation:
Indices Rule:
Given that,
(a,b) satisfies the two equations
.........(1)
and
.........(2)
From equation (1) we get
![ab^4=384](https://tex.z-dn.net/?f=ab%5E4%3D384)
Squaring both sides
![\Rightarrow (ab^4)^2=(384)^2](https://tex.z-dn.net/?f=%5CRightarrow%20%28ab%5E4%29%5E2%3D%28384%29%5E2)
......(3)
Divide equation (3) by (2) we get
![\frac{a^2b^8}{a^2b^5}=\frac{147,456}{4608}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E2b%5E8%7D%7Ba%5E2b%5E5%7D%3D%5Cfrac%7B147%2C456%7D%7B4608%7D)
![\Rightarrow a^{2-2}b^{8-5}=32](https://tex.z-dn.net/?f=%5CRightarrow%20a%5E%7B2-2%7Db%5E%7B8-5%7D%3D32)
![\Rightarrow b^3=32](https://tex.z-dn.net/?f=%5CRightarrow%20b%5E3%3D32)
![\Rightarrow b=\sqrt[3] {32}](https://tex.z-dn.net/?f=%5CRightarrow%20b%3D%5Csqrt%5B3%5D%20%7B32%7D)
Now plug the value of b in equation (1)
![ab^4=384](https://tex.z-dn.net/?f=ab%5E4%3D384)
![\Rightarrow a(\sqrt[3]{32})^4=384](https://tex.z-dn.net/?f=%5CRightarrow%20a%28%5Csqrt%5B3%5D%7B32%7D%29%5E4%3D384)
![\Rightarrow a(32)^\frac43=384](https://tex.z-dn.net/?f=%5CRightarrow%20a%2832%29%5E%5Cfrac43%3D384)
![\Rightarrow a=\frac{384}{(32)^\frac43}](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D%5Cfrac%7B384%7D%7B%2832%29%5E%5Cfrac43%7D)
![\Rightarrow a\approx 3.78](https://tex.z-dn.net/?f=%5CRightarrow%20a%5Capprox%203.78)
Therefore the value of a is 3.78.