Answer:
540cm^3
Step-by-step explanation:
4*3*5*9=12*5*9=60*9=540
Answer: 1/8
Step-by-step explanation:
Hypotenuse = √97
One leg = 4
By Pythagoras theorem, second leg² = (√97)² - 4²
= 97 - 16 = 81
So second leg = 9
Area of triangle = 4 x 9 / 2 = 18 sq inch
One sq foot = 144 sq inch
So required fraction = 18/144 = 1/8
44 because the absolute values are 131 and 87 and to find difference you subtract.
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Answer:
M(t) = 64 Kgs
Step-by-step explanation:
To find the total mass of the rod, we have to integrate the expression
M(x) = ∫₀⁴ rho(x)*dx
Where rho (x) = 6 + 5*x in Kgs /m
M(x) = ∫₀⁴ ( 6 + 5*x ) dx ⇒ M(x) = ∫₀⁴ 6 dx + ∫₀⁴ 5*x dx
M(x) = 6x |₀⁴ + 5* x²/2 |₀⁴
M(x) = 6( 4 - 0 ) + 5/2 ( 16 - 0 )
M(x) = 24 + 40 Kgs
M(t) = 64 Kgs
