Answer:
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Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .
Answer:
<h2>
cos 30°= 0.866</h2>
Step-by-step explanation:
Step one:
Applying the SOH CAH TOA principle
assuming all dimensions are in cm
Step two:
Given data
opposite= 1 cm
hypotenuse= 2 cm
<h3>we can now solve for θ</h3>
Sin(θ)= opp/hyp
Sin(θ)= 1/2
Sin(θ)= 0.5
θ= sin-1 0.5
θ= 30°
hence from tables cos 30°= 0.866
Answer: speed other the slower train is 46 mph.
speed other the faster train is 56 mph.
Step-by-step explanation:
Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.
In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.
Distance = speed × time
Distance travelled by the slower train in 4.5 hours is
4.5 × x = 4.5x
Distance travelled by the faster train in 4.5 hours is
4.5(x + 10) = 4.5x + 45
Since the total distance covered is 459 miles, therefore,
4.5x + 4.5x + 45 = 459
9x = 459 - 45 = 414
x = 414/9
x = 46 mph
Speed of the faster train is
46 + 10 = 56 mph
