A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of 130°. Find the area of the lawn watered by the sprinkler.

A rotating water sprinkler makes one revolution every 15 s. The water reaches a distance of 5 m from the sprinkler.

a) What is the arc length of the sector watered when the sprinkler rotates through $\frac{5\pi}{3}$ ? Give your answer as both an exact value and an approximate measure, to the nearest hundredth.

b) Show how you could find the area of the sector watered in part a).

c) What angle does the sprinkler rotate through in 2 min? Express your answer in radians and degrees.

A circular rotating sprinkler sprays water over a distance of 9 feet. What is the area of the circular region covered by the sprinkler?

A circular water fuountain has a diameter of 42 feet. Find the area of the fountain.

The Pizza Farm in Madera, California, is a circle divided into eight equal slices. Each "slice" is used for growing or grazing pizza ingredients. a. What is the total arc measure of the slices containing olives, tomatoes, and peppers? b. The circle is 125 feet in diameter. What is the arc length of one slice? Round to the nearest hundredth.

Use a calculator to approximate two values of θ in radians for which (0 ≤ θ < 2π) for which csc θ = 1.030. Round the results to two decimal places.

A water immersion heater is rated at $600 \mathrm{~W}$ when plugged into a 120 -V circuit. The heater is placed in a cup with $0.400 \mathrm{~kg}$ of water at an initial temperature of $10^{\circ} \mathrm{C}$.

a) How much current does the heater draw?

b) What is the resistance of the heater?

c) If the heater runs for 30 seconds, how much energy does it provide to the water?

d) What is the final temperature of the water after 30 seconds? (Use c $=4180 \mathrm{~J} / \mathrm{kg}-{ }^{\circ} \mathrm{C}$ for water)

A water wheel has a radius of $12$ feet. The wheel is rotating at $20$ revolutions per minute. Find the linear speed, in feet per minute, of the water.

How many grams of water are there if it takes $24.5$ cal to heat the water from $13.7^{\circ} \mathrm{C}$ to $87.6^{\circ} \mathrm{C}$ ?

The radius of a water molecule is about 1.4 angstroms. One angstrom is 0.00000001 cm. What is the diameter of a water molecule in centimeters? Use scientific notation.

Hydrocarbons are $\underline{\text{soluble }}$ in water.

A 300-megawatt solar-power plant requires approximately $950,000 \mathrm{~m}^2$ of land area to collect the required amount of energy from sunlight. If this land area is circular, what is its radius? If this land area is a $35^{\circ}$ sector of a circle, what is its radius?.

An Arabian camel can drink $15$ gallons of water in $10$ minutes. At this rate, how much water can the camel drink in $3$ minutes?..

Does heptane dissolve in water?