To support a tree damaged in a storm, a 12 foot wire is secured from the ground to the tree at a point 10 feet off the ground. the tree meets the ground at a right angle.
at approximately what angle does the wire meet the ground?

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Suppose that a households monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, hcf). when graphed, the function gives a line with slope of 1.65. if the monthly cost for 13 hcf is $46.10 what is the monthly cost for 19 hcf?

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show