The solution is n= <u>+</u> 4i/√11
Step-by-step explanation:
step 1: 10n^2+n^2+16=0
step 2: 11n^2+16=0
step 3: 11n^2= -16
step 4: n^2= -16/11
step 5: taking square root on both sides,
n= √(-16)/√11 (square root of a negative number is a <u>complex term</u> 'i')
n= <u>+</u> 4i/√11
To find the volume of the cone use the formula:
3.14r^2 h/3
Final Answer:
20.93 cubic units
Answer:
Step-by-step explanation:
Are the volumes equal? No, so throw out the first and the last one.
Is the volume of the pyramid greater than the volume of prism?
No, so throw out the third one
so by inspection it must be the remaining one
or mathematically
vol pyramid = (1/3)(base)(height)
vol prism = (base)(height)
vol pyramid / vol prism
(1/3)(base)(height) / (base)(height) = 1/3
Answer:
60 hours
Step-by-step explanation:
300 + 5x = 10x
subtract 5x from both sides to cancel 5x on the left
300 = 5x
divide both by 5
60 = x
The 3-dimensional shape of a circle is a sphere. In order to solve the volume (v) of a sphere from the radius or diameter of any circumscribed circle within is as follows:
v = 4/3 × pi × r^3, where pi roughly = 3.14
v = 4/3 × 3.14 × (10cm)^3
v = 1.33 × 3.14 × 1000cm^3
v = 4,188.56 cm^3 (cubic cm)
v = 4,189 cm^3 (rounded up)
