Alandscaper is designing a flower garden in the shape of a trapezoid. she wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. she wants the area to be 295 square yards. the situation is modeled by the equation h^2 + 5h = 295. use the quadratic formula to find the height that will give the desired area. round to the nearest hundredth of a yard. a: 17.36 yards b: 600 yards c: 14.86 yards d: 29.71 yards

The height is 14.86 yards ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The flower garden in the shape of a trapezoid

- The shorter base to be 3 yards greater than the height

- The longer base to be 7 yards greater than the height

- The area must be 295 square yards

- The situation is modeled by the equation h² + 5h = 295

- We want to find the height that will give the desired area by using

 the quadratic formula

- The quadratic formula is ,

  where a is the coefficient of h² and b is the coefficient of h and c

  is the numerical term

- The equation of the area is h² + 5h = 295

∵ h² + 5h = 295

- Subtract 295 from both sides

∴ h² + 5h - 295 = 0

- Lets find the values of a , b and c from the equation

∵ a = 1 , b = 5 , c = -295

∴

∴

∴

- OR

∴

- The dimensions of any figure must be positive value, then we will

  neglect the negative value of h

∴ h = 14.86

* The height is 14.86 yards

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.