Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Answer:
5/8
Step-by-step explanation:
→ Work out how many red
8 - ( 2 + 1 + 2 ) = 3
→ Add up red and purple
3 + 2 = 5
→ Divide over total number of beads
5/8
Answer:
The probability that they will both be on time is 12/25.
Step-by-step explanation:
John is late 20% of the time.
So, he is prompt 80% of the time.
Ted is late 40% of the time.
So, he is prompt 60% of the time.
Since, both the events are independent,
p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)
× 
= 0.80 × 0.60
= 0.48 or 48%
Hence, the probability that they will both be on time is 12/25.
Answer:
x < 6
Step-by-step explanation:
x/-1 > -6
x < (-6) * (-1)
so, x < 6
