Answer:
≈9
Step-by-step explanation:
V= πr^2(h/3)
1356.48= πr^2(16/3)
r= 8.99 or about 9
Step-by-step answer:
For relatively small denominators, the easiest way is to multiply the two denominators AND divide by the highest common factor (HCF).
For example, adding 5/24+3/16
24*16 = 384
(use a calculator if necessary, for mental calculation, 24*16=20^2-4^2=400-16=384 ).
The highest common factor (HCF) is 8, since 24/8=3, 16/8=2, 3 and 2 do not have any more common factors, so it is the HCF.
The lowest common multiple (LCM) is then 384/8 = 48
For someone good at factoring, we see that the factors are:
24={2^3,3}
16={2^4} = {2^3,2}
so the LCM is either 16*3=48, or 24*2=48.
Answer:
(-2, 3) = domain -2 = range 3
(3, -2) = domain 3 = range -2
(1, 3), = domain 1 = range 3
(0, -2) = domain 0 = range -2
Step-by-step explanation:
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.
...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.
The value of k is 1.
Putting k=1 in (i), we get
Therefore, the variation constant is 1 and the equation of variation is .
