I would use the Law of Sines to solve this problem.
The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km.
The angle we need to find is at the cave. The side opposite this angle is 2.60 km.
(Sin 122/3.72) = (Sin x/2.60)
Cross multiply to solve.
3.72 Sin x = 2.60 Sin 122
Divide both sides by 3.72
Sin x = (2.60 Sin 122)/3.72
Sin^-1 x = (2.60Sin122)/3.72
x = 36 degrees
9514 1404 393
Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
Let us compute first the probability of ending up an odd number when rolling a dice. A dice has faces with numbers 1 up to 6. The odd numbers within that is 3 (1, 3 and 5). Therefore, each dice has a probability of 3/6 or 1/2. Then, you use the repeated trials formula:
Probability = n!/r!(n-r)! * p^r * q^(n-r), where n is the number of tries (n=6), r is the number tries where you get an even number (r=0), p is the probability of having an even face and q is the probability of having an odd face.
Probability = 6!/0!(6!) * (1/2)^0 * (1/2)^6
Probability = 1/64
Therefore, the probability is 1/64 or 1.56%.
The area of a parallelogram is the base times the height.
Area and base is given so we can use that to solve for the height:
72 = 6* h
h = 72/6
h = 12
The height is 12 units.
Answer:
w=9
Step-by-step explanation:
7w -17=46
Add 17 to each side
7w -17+17=46 +17
7w = 63
Divide each side by 7
7w/7 = 63/7
w=9
