a falcon sitting in its nest sees a mouse on the ground in a nearby field. if the falcon flies directly to the mouse, at what angle with the ground will the falcon dive to catch the mouse if his nest is 200 feet in the air and the mouse is 400 feet from the base of the tree. Once the falcon catches the mouse he decides to fly to a different nearby tree to eat. If the base of this tree is 400 feet from the mouse on the ground and stands 350 feet tall, what is the total distance the falcon flew?

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240