Answer:
(47+21√5)/2
Step-by-step explanation:
Given the expression
7+3√5/7-3√5
= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)
= 49+21√5+21√5+9(5)/[7(7)-9(5)]
= 49+42√5+45/49-45
= 94+42√5/4
= 2(47+21√5)/4
=(47+21√5)/2
Hence the required expression is (47+21√5)/2
Answer:
15 minutes
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c to determine joint time where a and b are the times alone and c is the time together
1/10 + 1/ 30 = 1/c
Multiply each side by 30c to clear the fractions
30c( 1/10 + 1/ 30) = 1/c * 30c
3c + c = 30
4c = 30
Divide by 4
4c/4 = 30/4
c = 7.5 minutes
This is the time for 50 pages
We want 100 pages, so multiply by 2
7.5 *2 = 15 minutes
Answer:
a)35 cubic meters=35000 liters.
b)450 cubic centimeters= 450 milliliters.
c)19.74 cubic meters=19740 cubic decimeters.
d)926 cubic centimeters=0.926 cubic decimeters.
Step-by-step explanation:
a) since one cubic meter = 1000 liters,
35 cubic meters=35 X 1000=35000 liters
b) Since one cubic centimeters=1 milliliter,
450 cubic centimeters=450 milliliters.
c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.
Hence 19.74 cubic meters= cubic decimeters.
d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.
Hence 926 cubic centimeters= cubic decimeters.
Answer:
d = √(k/R)
Step-by-step explanation:
Eliminate fractions by multiplying by the denominator, then divide by the coefficient of d². Finally, take the square root.