You know from SOH CAH TOA that
.. tan(θ) = Opposite/Adjacent
Then the relations for any of these variables will be
.. Opposite = Adjacent * tan(θ)
.. Adjacent = Opposite / tan(θ)
.. θ = arctan(Opposite/Adjacent)
7. x is opposite.
.. x = (30 cm)*tan(26°) ≈ 14.63 cm
8, 9, 10, 14. x is opposite
11. x = arctan(30/60) ≈ 26.57°
12, 13, 15. x is the angle
Answer:
Given Exponential Function is :
We have check which graph represent given Exponential Function,
let, 
Put x = 0, we get
y = 5 × 1 - 1 = 4
One of the passing through point = ( 0 , 4 )
Now, Put y = 0, we get
x = -1.465
Another passing through point is ( -1.465 , 0 )
So, Clearly No Given Option in attached is correct.
Correct Graph is attached.
Answer:
The slope in this equation is 2.
Step-by-step explanation:
Slope Intercept formula: y = mx + b
<em>m</em> is the slope
<em>b</em><em> </em>is the y-intercept
<em>y</em> is the value of y
<em>x</em><em> </em>is the value of x
Answer: the rate of speed for train A is 66 miles per hour.
Step-by-step explanation:
Let x represent the speed of train B.
2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.
The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.
Distance = speed × time
Distance travelled by train A after 4 hours is
4(x - 16) = 4x - 64
Distance travelled by train B after 4 hours is
4 × x = 4x
Since the total distance travelled by both trains is 720 miles, then
4x - 64 + 4x = 720
8x = 720 - 64 = 656
x = 656/8 = 82 miles per hour
The speed of train A would be
82 - 16 = 66 miles per hour.
