Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x-----> the volume of the larger cone
y-----> the volume of the original cone
In this problem we have
-----> scale factor
substitute
That means-----> The volume of the larger cone is 8 times the volume of the original cone
Find the volume of the original cone
we have
substitute
therefore
The volume of the larger cone is equal to
73. you subtract 89 and 16 and that gives you your answer which is*** 73***
Answer:
x = 11.4
Step-by-step explanation:
14.12 = 
( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
Answer:
Monica spent 0.55 hours listening to Brahms.
Step-by-step explanation:
We are given the following in the question:
Amount of time spent listening to tapes of Beethoven and Brahms =
Amount of time spent listening to Beethoven =
Total time spent listening to Brahms =
Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven
Thus, Monica spent 
listening to Brahms.
Answer:
x1 =2-5i*sqrt(2)
x2 =2+5i*sqrt(2)
Step-by-step explanation:
-x^2 +4x-54=0 (quadratic equation)
a=-1, b=4, c=-54
x1=(-b+sqrt(b^2-4ac))/2a
x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)
x1=(-4+sqrt(16-216))/(-2)
x1 =(-4+sqrt(-200))/(-2)
x1 =(-4+sqrt(200i^2))/(-2) i^2=-1
x1 =(-4+sqrt(100*2*i^2))/(-2)
x1 =(-4+10i*sqrt(2))/(-2)
x1 =2-5i*sqrt(2)
x2 =(-b-sqrt(b^2-4ac))/2a
x2 =(-4-10i*sqrt(2))/(-2)
x2 =2+5i*sqrt(2)
