Answer:
x = 16.2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 54°
Hypothenus = 20
Opposite = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 54° = x / 20
Cross multiply
x = 20 × Sine 54
x = 20 × 0.8090
x = 16.2
Thus, the value of x is 16.2
9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.
Answer:
5 to 3 ratio
Step-by-step explanation:
Vadim has 18 books. The total books is 30.
30 to 18 simplified is 5 to 3.
The muffins will be 16 because 7 divided by 112 is 16