Given two similar figures, the ratio of any two corresponding sides measures with the equal in square to the ratio of any two corresponding area measure. Let x be the separation of the two long parallel sides in the larger patio.
x²/12.5<span>² = 360/250
x</span>/12.5<span> = 6/5
x</span><span> = (6*12.5)/5
x</span><span> = 75/5 = 15
That is the corresponding distance on the new patio.</span>
Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;
From 2;
a = 29 + b ....3
Substitute 3 into 1;
Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
Answer:
$11.08 to the nearest penny
Step-by-step explanation:
So I do it like
10.26 is 100 percent
We’re adding 8 percent so technically multiplying by 108
SO 10.26*108 is 11.08 to the nearest penny
It so much easier, easy 1 step
Saving I don’t know but please let me know :)
