Answer:
using pythagorean theorem
Hypotenuse ²=Adjacent ²+ Opposite ²
Hypotenuse ²=5.6²+7.2²
Hypotenuse ²=83.2
Hypotenuse=√83.2
Hypotenuse=9.12m
A=3,500×(1+0.0485÷4)^(4×11)
A=5,947.99
6000=3500(1+0.0485/4)^4t
Solve for t to know the time needed to reach 6000
Time=11.2
So the time needed is 11 years and 2 months
Y=3x+7
this equation is in slope- intercept form (y=mx+b), so to translate up or down you add or subtract however many units you are translating to the b of the equation.
The limit is the value of the function when you approach the closest possible to the x value without getting to that x value.
The closed point (2,1) is not used to calculate the limit. The closed point (2,1) represents the value of the function at x = 1, but the limit is not the value of the function.
Use the horizontal line that comes from the left and ends at the open point (2,3) to find the limit of f(x) when x approaches to 2 from the left.
That limit is 3, because you can get as close as you want to 3 when you approach x = 2 from the left.
Use the horizontal line that starts at the open point (2-2) and goes to the right, to find the limit of f(x) when x approached to 2 from the right.
That limit is -2 because you can get as close to -2 when you approach x = 2 from the right.
It is important that you know that the definition of limits do not include the value of the function at the point where you want to state the limit.
This result, limit of f(x) when x approaches 2 from the left = 3 and limit of f(x) when x approaches 2 from the right = -2, means that the limit of the function when x approaches 2 does not exist.
The limit exists if and only if the two lateral limits exists and are equal.
Answer:
79.4 m
Step-by-step explanation:
In this problem we deal with a right triangle with hypotenuse 90 m. We are told that tan Ф = 15/8; 15 represents the vertical distance of the kite off the ground and 8 represents the horizontal distance from the kite flyer to the kite. This is sufficient info from which to determine the angle of elevation from kite flyer to kite: tan Ф = 15/8 yields Ф = 1.08 radians.
Using this same angle Ф = 1.08 radians, sin Ф = (vertical distance) / hypotenuse = sin 1.08 rad = 0.882.
Then the vertical distance (height of the kite) is
(90 m)(0.882) = 79.4 m
