25, 400 and 144 are all square numbers and 24, 300 and 145 are not.
Therefore, he must like 1600
Answer is 1 1/12
3(1/4 + 1/2^2)+ (2x1/12)
3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses)
9/12+3/12+2/12= 1 1/12 hope this helps
Answer:
1.17*10²
Step-by-step explanation:
Diameter of the sun is about 1.4 × 10⁶ km
1.4*10⁶ km = 1,400,000
Diameter of the planet venus is about 12000 km
12000 km = 1.2 × 10⁴
Ratio of the diameters
Sun : Venus
1.4 × 10⁶ km : 1.2 × 10⁴
1.4 × 10⁶ km / 1.2 × 10⁴
1.4 / 1.2 × 10^6-4
1.166 × 10²
Approximately
1.17 × 10²
Answer:
10 / 12
simplified:
5/6
since 5 is a prime number, we can't simplify this ratio any further
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
