The rule for a reflection in the line y = x is (x,y) --> (y,x)
so (-6,-4) -----> (-4 , -6)
Answer
(-4 , -6)
Answer:
20 ft
Step-by-step explanation:
The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.
SA = base area + lateral area
SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height
SA -b² = 2bs . . . . . subtract the base area
s = (SA -b²)/(2b) . . . . divide by the coefficient of s
Using the given values for surface area and base length, we find ...
s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet
The slant height of the pyramid is 20 feet.
Answer:
C)49π
Step-by-step explanation:
Given:
As in given figure there are two right triangle,
Let the bigger right triangle be ABC
and the smaller right angle be ADE
Finding length of hypotenuse of ΔABC
h
h=AC=13
Now as the two right triangles are similar as both have one angle common i.e. A, and one right angle i.e. 90 degree.
As ΔABC is similar to ΔADE
BC/AC=DE/AE
5/13=r/(12-r)
r= (12-r)0.384
r= 4.615-0.384r
r+0.384r =4.615
1.384r=4.615
r=4.615/1.384
r=3.33
Now volume of the inscribed sphere
volume=4/3πr^3
putting value of r=3.33 in above
volume=4/3π(3.33^3)
=49.23π
= 49π !
The table represents a multiplicative relationship