Answer:
angle 1 and 3 are alternate INTERIOR angles cos they are on the inside of the lines but you were close
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
Answer:
70.6% decrease
Step-by-step explanation:
4250-1250 = 3000
4250x = 3000
x=70.6%
70.6% decrease
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Answer:
Both 70 degrees
Step-by-step explanation:
The base angles of an isosceles triangle are congruent.
The other 2 angles are each (180 - 40) / 2
= 70 degrees
Answer:
5 + 3x = 41
x = 12 miles
Step-by-step explanation:
A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.
Let x is the number of miles traveled.
If the total cost of the fare was $41.00 then
5 + 3x = 41 eq. 1
The above equation can be used to determine the number of miles traveled.
Solving the equation for x,
5 + 3x = 41
3x = 41 - 5
3x = 36
x = 36/3
x = 12 miles
Therefore, 12 is the total number of miles traveled if the fare was $41.00.
