Answer:
the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min
Step-by-step explanation:
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?
speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time
mathematically,
= Δs₁
= 14 km/min =
and will are to find the speed after passes the radar
=Δs₂ km/min =
to find d₁ and d₂ with respect to angle 45 degree at 4km
sin 45 = opp/hyp = 4/d₁
d₁ = 4/sin45 = 5.66km
tan 45 == opp/adj = 4/d₂
d₂ =4/tan45 = 4km
for three minute increment,
=3 x d₁ x Δs₁ = 3 x d₂ Δs₂
= 3x5.66x14 = 3x 4 xΔs₂
= 237.72 = 12Δs₂
=Δs₂ = 19.81km/min
The value of the function at -3 is g(-3) = -17 .
A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
- A function from the set X to the set Y assigns each element of X exactly one element of Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
- The collection of all pairings (x, f (x)) that distinctively represent a function is known as the graph of a function, which is a typical technique for lighting the function.
We know that g(x) = 3x-8
Therefore we substitute the value of x with -3 to get g(x) .
g(-3) = 3(-3)-8 = -9 - 8 = -17
Therefore the value of the function is -17.
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Answer:
0.3165
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of adults sampled = 9
x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0
p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12
q = probability of failure = 1 - p = 1 - 0.12 = 0.88
P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰
P(X=0) = 0.31647838183 = 0.3165
Hope this Helps!!!
Answer:
- 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m
Step-by-step explanation:
Use <u>trigonometry</u> to solve for unknowns.
<h3>1) Use sine</h3>
- <em>sine = opposite leg / hypotenuse</em>
- sin 27° = x/42
- x = 42 sin 27°
- x = 19.07 m (rounded)
<h3>2) Use tangent</h3>
- <em>tangent = opposite leg / adjacent leg</em>
- tan 23° = 34/x
- x = 34 / tan 23°
- x = 80.10 ft
<h3>3) Use cosine</h3>
- <em>cosine = adjacent leg / hypotenuse</em>
- cos 48° = 38/x
- x = 38 / cos 48°
- x = 56.79 m (rounded)
Answer: The same trip will require 3.8 hours.
Step-by-step explanation:
Since we have given that
Time =
Speed = 55 mph
So, distance would be
If the speed limit = 65 mph
So, time will be
Hence, the same trip will require 3.8 hours.