A rectangular block of metal is 27cm long, 7cm wide and 12cm high.
1 answer:
Answer:
length of side of newly formed cube = 13.13cm
Step-by-step explanation:
the volume of the rectangular metal block (V)=
length (L) × width (B) × height (H)
=》V = 27 × 7 × 12
=》V = 2268 cubic cm
and if it is melted and casted into a metal cube, then the volume remains the same
so, volume of cube = 2268 cubic cm
now,
let the measures of sides of the cube formed be a
volume of cube (V) =
=》
=》
=》
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Answer with explanation:
→Number of Integers from 1 to 100
=100(50 Odd +50 Even)
→50 Even =2,4,6,8,10,12,14,16,...............................100
→50 Odd=1,3,,5,7,9,..................................99.
→Sum of Two even integers is even.
→Sum of two odd Integers is odd.
→Sum of an Odd and even Integer is Odd.
(a)
Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,
=Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,
=4900 ways
(b)
Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,
=Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,
=2500 ways
<u><em>Answer:</em></u>
The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec
<u><em>Explanation:</em></u>
<u>The equation that relates velocity, distance and time is:</u>
<u>This means that:</u>
distance = velocity * time
<u>In the given, we have:</u>
velocity = 31 m/sec
time = 13 sec
<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>
distance = velocity * time
distance = 31 * 13
distance = 403 meters
Hope this helps :)