Answer:
Explanation:
First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11
Plug x value in x^3 + 1/x^3
(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332
Therefore, x^3 + 1/x^3 = 1332
The answer is 1808.64 ft²
To calculate area of square we need to find radius r. Radius is a half of a diameter:
r = d/2
The blueprint:
d = 18 cm
r = 18/2 = 9 cm
<span>The blueprint has a scale of three centimeters to four feet. Actual radius r1 is:
</span>3 cm : 4 ft = 18 cm : r1
After crossing the products:
r1 = 4 ft * 18 cm : 3 cm
r1 = 24 ft
The area of the circular base of the fountain is:
A = r1² * π
π = 3.14
r1 = 24 ft
A = 24² * 3.14
A = 1808.64 ft²
Answer:
5/4
Step-by-step explanation:
2(8x-3)-4(3x-5)=19
16x-6-12x+20=19
16x-12x-6+20=19
4x+14=19
4x=19-14
4x=5
x=5/4
<span>( 144 + 6 x 8 ) ÷ 3 = g
(144 + 48) </span>÷ 3 = g
192 ÷ 3 = g
64 = g or g = 64
Step-by-step explanation:
2x = x1.2^n
2 = 1.2^n
log1.2(2) = n
log10(2)/log10(1.2) = n = 3.801784017...
so, rounded to the next whole year it takes 4 years.