Answer:
12 x^5y^12
Step-by-step explanation:
3x^2y^5 * 4x^3y^7
Multiply the constants
3*4 = 12
Multiply the x terms
x^2 * x^3
We know a^b* a^c = a^(b+c)
x^(2+3) = x^5
Multiply the y terms
y^6 * y^7 = y&(5+7) = y^12
Put them back together
12 x^5y^12
an=4n+1
Sum of first 30 terms
a1+a2+.................a30
Sn=(a1+an)*n/2
a1-----------first
terms
an=---------last
term-----a30
n= number of
terms-----30
calculation of a1
a1=4n+1=4*1+1=5
calculation of an
a30=4*30+1=121
S30=(a1+a30)*30/2
S30=(5+121)*30/2=1890
<span>The sum of first
30 terms is 1890</span>
Answer:
Step-by-step explanation:
Answer:
x ≈ 8.1233
Step-by-step explanation:
SOH CAH TOA<em>(tangent = </em><em>opposite/adjacent side</em><em>)</em>
tan (32) = x/13
=> x = tan (32) × 13
=> x ≈ 8.1233
