Answer:
The total volume is 41.1 cubic meters.
Step-by-step explanation:
Volume of the platform is:
1.8m * 1.8m * 10m = 32.4 m^3
Volume of the ramp is half of a prism with same dimensions as that ramp:
0.5 * 6m * 1.8m * 1.8m = 9.7 m^3
Total: (32.4 + 9.7) m^3 = 41.1m^3
Answer:
15840 ft
Step-by-step explanation:
3 times 5280
<em>a^m × a^n = a^(m+n)</em>
means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.
To prove this, we can verify it numerically:
Let us take,
a = 10
m = 2
n = 5
Now,
10² × 10⁵ = 10²+⁵
100 × 100000 = 10⁷
10000000 = 10000000
Another example,
Let us take,
a = 2
m = 0
n = 3
Now,
2⁰ × 2³ = 2⁰+³
1 × 8 = 2³
8 = 8
1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime number,. then (x+y)/7 = z². In this case either x = 2 or y = 5 (or vice vera). This is the only possibility to be divisible by 7 . Then (5+2)/7 = 1² = 1
2) 5 pipes → 2 hours → 2 pools
then 1 pipe takes (5x2) 10 hours to fill 2 pools
or 1 pipe takes (10/2) 5 hours to fill 1 pool
3) It's 6/30 = 0.2 or 20%
4) 35% represent 7 Students, 100% of the class represent x students:
35%/7 = 100%/x
0.35/7 = 1/x (Cross multiplication) →0.35x = 7 and x = 7/0.35 → x = 20 students
5) Let K be the age of Katie and B her brother's
K + 2 = B OR K = x - 2 (Today)
In 12 years (B+12), B will be twice K (remember K = B-2) →
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2) →
B+12 = 2B - 4→
12 + 4 = B and B = 16. If the brother is 16, then Kate is 14
:
