Answer:
7/16 of a yard
Step-by-step explanation:
Let's put the boards to the same denominator so it's easier.
Let's go with a denominator of 16
1/4= 4/16
7/8= 14/16
3/16 stays the same.
So, 4/16+3/16+x=14/16
7/16+x=14/16
x=7/16 of a yard, the length of the 3rd board.
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (5 m)³
V = 524 m³
Answer:
x=11
Step-by-step explanation:
This is because 6+10=16 so your line with x must equal 16. You subtract 5 from 16 to get 11. This is your answer.
Answer:
Answer is B and C Triangles 1, 3 and 4 appear to be congruent