Answer:
60cm²
Step-by-step explanation:
Area of a rectangle = length x breath
Let,
length (L) = (a-1) cm
breadth (B) = (a+3) cm
Putting the value of a = 7;
we get,
length= 7-1 = 6 cm
breadth= 7+3 = 10 cm
Therefore, area of the rectangle = L x B
= 6 x 10
= 60 cm²
We can rewrite the expression under the radical as

then taking the fourth root, we get
![\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cleft%28%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%29%5E4%7D%3D%5Cleft%7C%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%7C)
Why the absolute value? It's for the same reason that

since both
and
return the same number
, and
captures both possibilities. From here, we have

The absolute values disappear on all but the
term because all of
,
and
are positive, while
could potentially be negative. So we end up with

✧・゚: *✧・゚:* *:・゚✧*:・゚✧
Hello!
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
❖ Mai has $4.90 left.
Add $4.35 and $5.25 to get the total amount that she spent:
$4.35 + $5.25 = $9.60
Then subtract to get the amount of money left:
$14.50 - $9.60 = $4.90
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
Answer:
Step-by-step explanation:
I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)
For 2,9,16,23...
Recursive is a(n+1)=an+7
Explicit is an=2+7(n-1)
(or more neatly an=7n-5)
For 2,14,98,686...
Recursive is a(n+1)=7an
Explicit is an=2(7^(n-1))
(or (2/7)7^n )
tan( tehta ) = 2/3
Sin( tetha ) = 2/√13
tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13
= 2√13 + 6 / 3√13