Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> = r
=> 11.85 = r
Therefore, <u>the radius of the cone = 11.85yd</u>
Hope this helps!
Answer:
Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor
Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;
Answer:
A) T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
In the picture attached, triangle TVW is shown.
Transforming points T and V according to the rule (x,y) -> (3/4x, 3/4y), we get:
T(-4, 8) -> (-4*3/4, 8*3/4) -> (-3, 6) which corresponds to T'
V(0, 4) -> (0*3/4, 4*3/4) -> (0, 3) which corresponds to V'
