Answer:
28
Step-by-step explanation:
you would divide 42 by 6 which is 7 and than multiply 7 by 4 which would get you 28
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
No thanks, oh did you forget about karma?
Answer:
∠2=121°
Step-by-step explanation:
Ok, firts know that supplementary angles add up to 180 degrees, it means that ∠1+∠2=180°, and we are told that ∠1=4y+7 and ∠2=9y+4. <u>We need ∠2</u>.
∠1+∠2=180°
(4y+7)+(9y+4)=180 Solve the equation, finding y.
13y+11 = 180
y = (180-11)/13
y = 169/13
y = 13
Now we know y, ∠2=9(13)+4=121°
