Answer:
Answer: 13.4 m
Step-by-step explanation:
For small angles, x, in radians,
tan(x) ≈ sin(x) = x
Use this to create an approximate diagram for the problem as shown in the figure below.
The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.
The extend length is 3 km + 12 cm, which is
3000 + 0.12 = 3000.12 m
Half of the extended length is 1500.06 m
Let h+ the rise of the center of the rail above ground.
From the Pythagorean theorem, obtain
h² + 1500² = 1500.6²
h² = 1500.06² - 1500² = 180.004
h = 13.4 m, which is about 0.9% of the original length.
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That would be called a square :)
Answer:
<u>The correct answer is B. 3/10.</u>
Step-by-step explanation:
1. Let's calculate the probability of spinning an odd number:
We can spin an odd number (1, 3 or 5) out of 5 events, it means that the probability of spinning an odd number is:
3/5
2. Let's calculate the probability of getting tails on the coin:
We can toss a coin and get tails one out of 2 events, it means that the probability of getting tails on the coin is:
1/2
3. These are independent events because the fact that we spin an odd number does not affect the probability of getting tails on the coin, thus:
Probability of spinning an odd number and getting tails on the coin =
3/5 * 1/2 = 3/10
<u>The correct answer is B. 3/10</u>
Answer:45
Step-by-step explanation:
Answer:
Substitute what t and n equals to in the equation and just solve using algebra.
So number 2, plug in -3 where ever the variable N is located in and solve.
g(-3) = 3(-3)^2+3+2(-3) ---> g(-3) = 27+3-6 ---> g(-3) = 24 That's the answer for 2.
For 1
plug in -5 into the t variable and solve.
k(t) = -2 |3(-5)| + 2 Since the || is between the 3 and 5, answer will be positive.
k(t) = -2(15)+2
k(t) = -28
Step-by-step explanation:
