Given that , find .
A vegetable garden is in the shape of a triangle with a base of and a height of . Find the area of the vegetable garden.
You want to paint the walls of your bedroom. Two walls measure by , and the other two walls measure by 6 . The paint you wish to purchase must be purchased in one-gallon cans and costs per gallon. Each gallon will cover of wall. Find the total amount you will spend on paint.
Find the surface area of the figure when and .
In the figure below, , and . Find the length of .
Use a calculator. Round to the nearest tenth of a degree. Given , find .
Determine whether the two triangles are congruent. If they are congruent, state by what theorem (SSS, SAS, or ASA) they are congruent. Let , , and . Yes, the two triangles are congruent by the SSS Theorem. Yes, the two triangles are congruent by the SAS Theorem. Yes, the two triangles are congruent by the ASA Theorem. No, the two triangles are not congruent.
Use a calculator. Round to the nearest tenth. Given , find .
Given and , find the measure of .
The given triangles are similar triangles. Use this fact to solve the exercise. Find the height of the building when , and .
Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let and .
A rectangular solid has a length of , a width of , and a height of . Find the volume of the solid. (Round your answer to one decimal place.)
Bias binding is to be sewn around the edge of a rectangular tablecloth measuring . by . If the bias binding comes in packages containing of binding, how many packages of bias binding are needed for the tablecloth? (Enter your answer as a whole number.) package(s)