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9966 [12]
2 years ago
10

On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumf

erence of the playground?
Mathematics
1 answer:
jekas [21]2 years ago
3 0
The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:
C = 2 \pi r
Plug in r = 36 to the formula to get:
C =  2 \pi (36) = 72 \pi
Therefore, the circumference is 72pi.
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Oliga [24]

Given:

\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}

\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}

Subtract \dfrac{9}{10} from both sides.

\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}

\dfrac{x}{5}=\dfrac{15-9}{10}

\dfrac{x}{5}=\dfrac{6}{10}

\dfrac{x}{5}=\dfrac{3}{5}

Multiplying both sides by 5, we get

x=3

So, the missing value is 3.

Therefore, the correct option is C.

8 0
3 years ago
I need help what’s the answer ?
pogonyaev

Answer:

x = 30

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = \frac{opposite}{hypotenuse} = \frac{2.5}{5} = \frac{1}{2} , then

x = sin^{-1} (\frac{1}{2} ) = 30

4 0
3 years ago
Boris bought 28 pounds of sugar for $11.
Drupady [299]

Answer:

about $2.54 per pound of sugar

5 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
Simplest form equivalent to 3y + y + 2y - 4y
bixtya [17]

Answer:

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Step-by-step explanation

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3 years ago
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