Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
- 990x= 2245
- x= 2245/990
- x= 449*5/5*198
- x= 449/198
- x= 2 53/198
For this case we convert the mixed numbers to fractions:
Now we add the fractions:
We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.
8,375
Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:
gallons
Answer:
gallons
Volume of sphere is given by:
V=4/3πr³
the radius of the sphere will therefore be given by:
5000π=4/3πr³
solving for r we get:
r³=3750
hence
r=15.54 m
the area will therefore be:
A=4πr²
A=4π(15.54)²A=965.49π m²
The area of a square is expressed as:
Area = s^2
We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.
Total area = Area larger + area smaller
1025 = s^2 + a^2
Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:
<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2
simplifying we obtain,
a = 20 inches
Area = base x height /2
Base =26.5
Height =40
26.5 x 40 /2 = 530
