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SSSSS [86.1K]
2 years ago
7

Patrick is building a fence for his backyard. He bought wood planks that have a base length of 1/2 a foot and a height of 6 feet

. If he buys 24 of these wood planks what is the total area he can cover with the fence
Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0

Answer:

72 ft^2

Step-by-step explanation:

area = length x width

1/2 x 8 = 3

3 x 24 = 72

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Breakdown -3r+9= -4r+5
spayn [35]

Answer:

r=.57

Step-by-step explanation:

8 0
3 years ago
Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 540 2 500 3 460 4 420 5 380
Evgen [1.6K]
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
4 0
3 years ago
Read 2 more answers
The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}

Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
3 years ago
The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.
Hitman42 [59]

Given:

The cost y (in dollars) of renting a segway for x hours is

y=30x+25

To find:

The initial fee and the cost per hour.

Solution:

We have,

y=30x+25       ...(i)

The slope intercept form of a linear equation is

y=mx+b      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

m=30,b=25

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.

8 0
3 years ago
Three cups of baking soda are poured into 9 mixing bowls so that each bowl holds the same amount of baking soda.
Liono4ka [1.6K]

Answer: Each bowl gets 1/3 of a cup.

Step-by-step explanation:

3 cups divided into 9 bowls

3/9

You can simplify this by dividing each side of the fraction by 3

1/3

1/3 * 9 = 3

6 0
3 years ago
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