Answer:
240
Step-by-step explanation:
So 60/100 x (n) = 144
We should be able to multiple both sides by 100, and divide each side by 60 to get our answer.
n = 144 x (100/60) which then equals 240.
the roots are
and 
Step-by-step explanation:
here we use Shridhar acharya formula
if a
+ bx +c = 0 is the quadratic equation
the the roots are ,
and 
comparing with the equation we get a=1 b= -7 c = -3
hence the roots are
and 
=
and 
Answer:
j = 19.6
k = 25.9
J = 49°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.
<h3>Analysis</h3>
The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.
<h3>Application</h3>
Hypotenuse = Opposite/Sin
IJ = 17/sin(41°) ≈ 25.9
Adjacent = Opposite/Tan
IK = 17/tan(41°) ≈ 19.6
Angle J = 90° -41° = 49°
In summary, ...
j = 19.6
k = 25.9
J = 49°
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
Yes
Y varies directly with x, it is a direct relationship between the two.