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:
7/6
Step-by-step explanation:
Answer:
$0.50 for a pack of juice.
Step-by-step explanation:
You are finding the unit rate of the cost of each unit, or one box of juice. In this case, there is 8 juice boxes in the pack, which costs you $4. Divide 4 with 8:
4/8 = 1/2 = 0.5
$0.50 is the cost per pack of juice.
~
Answer:
12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6
3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875
Step-by-step explanation:
The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.