The volume of a pyramid can be calculated as:
Where B is the area of the base and H is the height. We are given V = 60 cubic inches and H = 5 inches. Solving for B:
Substituting:
The area of the base is 36 square inches.
We must choose the option whose area is 36 sq in.
A square of a side length of 6 inches has an area of:
Thus, the correct choice is D.
Answer:
Below
Step-by-step explanation:
Well I can't really see the equation but I can tell you how to do it.
Parallel slopes are the same slope as the equation.
For example, y = mx + b
The slope of a line parallel to it is m
Perpendicular slopes are the opposite reciprocal as the equation.
For example, y = mx + b
The slope of a line perpendicular to it is
Answer:
From the graph: we have the coordinates of RST i.e,
R = (2,1) , S = (2,-2) , T = (-1,-2)
Also, it is given the scale factor and center of dilation C (1,-1)
The mapping rule for the center of dilation applied for the triangle as shown below:
or
or
Now,
for R = (2,1)
the image R' = or
⇒ R' =
For S = (2, -2) ,
the image S'= or
⇒ S' =
and For T = (-1, -2)
The image T' = or
⇒ T' =
Now, label the image of RST on the graph as shown below in the attachment:
Answer:
x²-8x-1=0
comparing above equation with ax²+bx+c=0
a=1
b=-8
c=-1
x=
=(--8+-√(64-4×1×-1)/2×1
=8+-√(64+4)/2
taking positive
x=(8+√68)/2=2(4+√17)/2=4+√17
taking negative
x=(8-√68)/2=2(4-√17)/2=4-√17