Answer:
Two possible lengths for the legs A and B are:
B = 1cm, A = 14.97cm
Or:
B = 9cm, A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
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Answer:
25
Step-by-step explanation:
divide 48 by 4 which is 25%
Z-score = (2.3 - 2.7)/(0.4/√15) = -0.4/0.1033 = -3.87
The formula of a slope:
95)
substitute:
96)
substitute:
97)
substitute:
OK. I think you already know how to solve it. I will give short solutions now.
98)
99)
100)
101)
102)
103)
104)
Answer:
131.2 ;
12.8 ;
(118.4, 144)
Step-by-step explanation:
Given :
X = 131.2, s=55 , and n= 50
Point estimate of the mean :
Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :
Margin of Error = Zcritical * s / sqrt(n)
Zcritical at 90% = 1.645
Margin of Error : 1.645 * (55 / sqrt(50))
Margin of Error : 1.645 * 7.7781745
Margin of Error = 12.795097
Margin of Error = 12.8
The confidence interval (C.I) :
C.I = x ± margin of error
C. I = 131.2 ± 12.8
(131.2 - 12.8) ; (131.2 + 12.8)
(118.4, 144)
