Answer:
Step-by-step explanation:
The general equation of a sphere is as follows:
In which the center is 
, and r is the radius.
In this problem, we have that:
So
through the point (4,3,-1)
This leads us to find the radius.
So the equation of the sphere is:
Answer:
Length = 13 cm.
Step-by-step explanation:
If the length is L and the width is W we have the system:
2L + 2W = 32
LW = 39
From the first equation:
L + W = 16 and
L = 16 - W
Substitute this in the second equation:
W(16 - W) = 39
16W - W^2 = 39
W^2 - 16W + 39 = 0
(w - 13)(W - 3) = 0
W = 13, 3
As W < L, W must be 3 because L = 16-13 = 3 does not make sense.
So Length = 16 - 3 = 13.
A. 60mph
B. 12 customers per day
C. 2.5 meters per sec
D. 1.59$ per pound
We divide to find each unit rate.
(e.g 420/7=60)
(360/30=12)(40/16=2.5)(7.95/5=1.59)
Answer:
35 mi²
Step-by-step explanation:
Let's subdivide the figure, as shown.
The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².
The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.
Area of trapezoid:
12 mi + 18 mi
------------------------ = 15 mi Width of trapezoid = 3 mi
2
Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²
and the total area of the entire figure is
45 mi² + 90 mi² = 135 mi²
Answer:
12
Step-by-step explanation:
0 + 12 = 12
