<span>Point B is where the 21 degree angle of elevation was taken.
Point C is where the 47 degree angle of elevation was taken.
Point D is at the base of the cliff.
You now have a large triangle ABD
Two smaller triangles ABC and ACD
Putting in angles: Angle BCA = 133 degrees,
Angle BAC = 26 degrees
Considering triangle ABC:
a/Sin A = b/Sin B
2500/sin(26) = b/Sin(21)
Cross multiply.
(2500 * sin(21))/sin(26) = b
b (Side AC) = 2043.75m
Considering triangle ACD
This is right angled at D
sin = Opposite/Hypotenuse.
sin(47) = Opposite/2043.75
Opposite = sin(47) * 2043.75
Opposite = 1494.7m
This is the height of the cliff.</span>
Answer:
(0, 5000)
The value of the account at the start of the year is 5000
Step-by-step explanation:
Given the equation that represents the value, y, of one account that was left inactive for a period of x years as;
y = 5000(0.98)^x
The y-intercept of the equation occurs at x = 0
Substitute x = 0 into the expression
y = 5000(0.98)^0
y = 5000(1) (any value raise to power of zero is 1)
y = 5000
Hence the y intercept is (0, 5000)
This means that the value of the account at the start of the year is 5000
Answer:
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
b=1/4 so plug that in our expression.
Let plug in 1,512.
So our function is
Answer:
0.8
Step-by-step explanation: