PLEASE HELP 25 POINTS FOR 5 QUESTIONS A circular garden has a diameter of 10 feet, and a triangular garden has a base of 10 ft. and a height of 16 ft.

1) Which garden is larger?

2) Find the difference in square feet between the two gardens.

3) A window is shaped like a semicircle. The straight edge of the semicircle measures 12 inches. What is the approximate area of the window?

4) A sign is made of a square and a semicircle. The square has side lengths of 20 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the sign?

5) A composite figure is formed by combining a square and a right triangle. The length of the sides of the square are 12 inches. The legs of the triangle are each 12 inches long. What is the total area of the composite figure?

If 10 men take 18 days to mow 60 acres of grass, how long will 15 men take to mow 80 acres?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. last month they had six vacant apartments and reported $4600 in lost rent. how many of each type of apartment were vacant?