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:
3, 6, 7, 9
Step-by-step explanation:
1/3 = 0.33...
1/6 = 0.1666...
1/7 = 0.1428571428...
and 1/9 = 0.11...
You can divide 73/641 to find the percent:
73/641 = 0.11388455...
It keeps going on so I'll stop there.
Now to make it into a percentage, multiple it by 100:
0.11388455 * 100 = 11.388455%
shortest side: 851
middle side:927
longest side : 1306
Explanation
Step 1
Let
x represents the shortest side
y represents the middle side
z represents the longest side
so, set the equations
a) the perimeter of a rectangle is the sum of the sides, so
b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)
c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)
Step 2
solve the equations
a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)
now, replace the y value in equatino (2) to find x
b)
c) finally, prelace x and y value in equation (1) to find z
so
shortest side: 851
middle side:927
longest side : 1306
I hope this helps you
