If you are mowing a section of a lawn but want to make sure you only mow so much. Say half of a square lawn, if you know that the 2 sides of the fence are each 20 yards in length, you can apply the formula to find the distance of the diagonal. That way you know exactly how much you have mowed. draw a square, cut a diagonal through it, make the 2 sides labaled as 20 and then its 20 squared plus 20 squared = c squared. Hope this helps!
Answer:
It's a direct variation condition,
hence ratio remains constant.
39 - 3
x - 4
x = 4×39/3 = 4×13 = 52 .. (for first blank space)
39 - 3
x - 10
x = 39×10/3 = 13×10 = 130 .. (for second blank space)
9514 1404 393
Answer:
(c) 144 m²
Step-by-step explanation:
The surface area can be calculated from ...
SA = 2(LW +H(L+W))
SA = 2((6 m)(6 m) +(3 m)(6 m +6 m))
= 2(36 m² +(3 m)(12 m)) = 2(36 m² +36 m²) = 2(72 m²)
SA = 144 m²
_____
<em>Additional comment</em>
The units of area are square meters (m²). The units of volume are cubic meters (m³).
To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint
that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling
at the 8 points,
(1/2, 1/2, 1/2)
(1/2, 1/2, 3/2)
(1/2, 3/2, 1/2)
(3/2, 1/2, 1/2)
(1/2, 3/2, 3/2)
(3/2, 1/2, 3/2)
(3/2, 3/2, 1/2)
(3/2, 3/2, 3/2)
which are captured by the sequence

with each of
being either 1 or 2.
Then the integral of
over
is approximated by the Riemann sum,



(compare to the actual value of about 4.159)
6.4 is the answer to your question