Answer:
5 cm
Step-by-step explanation:
We know these are similar triangles, so we can use ratios of side lengths
x/40 = 4/32
Using cross products
32x = 4*40
32x = 160
Divide each side by 32
32x/32 = 160/32
x =5
Answer:
Every time a new piece of equipment is added to the system, if ifs not properly optimized within the scope of the entire system, you'll end up with wasted energy and operational inefficiencies
Answer:
2) 6
Step-by-step explanation:
CE^2 = BC * AC
CE^2 = 3 * 12
CE^2 = 36
CE = 6
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x:
-2(x²-11x-60)
(x+4)(x-15)
x = -4 & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
Answer:
0.13093
Step-by-step explanation:
Give. That :
Population mean = 40% = 0.4
Sample size (n) = 64
Probability that more than 30 have computer at home
Mean = np = 64 * 0.4 = 25.6
Standard deviation = sqrt(n*p*(1-p)) = 3.919
P(x > 30)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (30 - 25.6) / 3.919 = 1.1227353
p(Z < 1.122) = 0.13093 ( Z probability calculator)
