A telephone worker needs to run a guide wire from the top of a 40-foot telephone pole to the ground. He measures the distance from the base of the pole to the point of the ground where the wire would end to be 30 feet. Use the Pythagorean Theorem to find the length of wire that the worker will need.

the length of wire that the worker will need is 50 feet

Step-by-step explanation:

A right angle triangle is formed. The height of the telephone pole represents the opposite side of the right angle triangle.

The distance from the base of the pole to the point of the ground where the wire would end represents the adjacent side of the right angle triangle.

The length, h of wire that the worker will need represents the hypotenuse of the right angle triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 40² + 30²

h ² = 1600 + 900 = 2500

h = √2500

h = 50 feet

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.