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timurjin [86]
2 years ago
13

A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of

grass is 6 feet. How many square feet of water will the sprinkler spray?
Mathematics
1 answer:
Georgia [21]2 years ago
7 0

Answer:

9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}

Step-by-step explanation:

The area of a circle is given by r^2\pi where r is the radius of the circle. The diameter is given as 6 feet, so the radius of this circle is \frac{6}{2}=3 feet.

Plugging in our values, we get:

3^2\pi=9\pi\approx28.27.

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6 0
3 years ago
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

h=-16t^2 + 36t + 10 ......(1)

Part (a) :

The maximum height reached by the ball is given by :

\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m

7 0
3 years ago
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
irina1246 [14]

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

  • If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

6 0
3 years ago
Exclain why 0.32 with a line above it is greater than 0.32
ella [17]
"0.32 with a line above it" could refer to two possible numbers, either 0.\overline{32}=0.323232\ldots or 0.3\overline2=0.3222\ldots.

In either case, 0.32 will be the smaller of the two numbers simply because it terminates with two digits after the decimal point, while the others keep going, basically adding a small positive number to 0.32.
6 0
3 years ago
Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length
Paladinen [302]

Answer:

3 1/3 feets

Step-by-step explanation:

Given that:

Height of aquarium = 1 3/4 feets

Area of aquarium = 5 5/6 ft²

The length of aquarium = x

Aquarium is shaped in the form of a rectangle :

Area of a rectangle = Length * width

5 5/6 = x * 1 3/4

35/6 = 7x/4

Cross multiply :

7x * 6 = 35 * 4

42x = 140

x = 140 / 42

x = 3 14/42

x = 3 1/3 feets

Hence, Length of the back of aquarium is 3 1/3 feets

7 0
3 years ago
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