Answer:
Step-by-step explanation:
We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:
, where a and b are the sides and C is the angle in between.
Let's substitute 115 for a, 178 for b, and 41 for Angle C.
Thus:
132 is rounded to the 130 cause you just look at the last number and you see what is the closes zero that's why it is 130
9514 1404 393
Answer:
increasing 7/24 ft per week
Step-by-step explanation:
An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.
If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...
b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)
Then the rate of change of b with respect to x is ...
b' = (-2x +14)/(2√(-x^2 +14x +576))
When x=0, the rate of change of the base is ...
b' = 14/(2√576) = 7/24
The base is increasing 7/24 ft per week when the height is 7 ft.
Formulas:
y=x-2
y=-1x+6
You'll basically just graph these which you said you can do, and if you don't want to, just input these formulas in Desmos Graphing Calculator, and the point that they intersect is your answer for the point of intersection
