Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
Answer:
9 hours
Step-by-step explanation:
12x+32=140
so
140-32=108
108/12= 9
x=9
