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Brilliant_brown [7]
3 years ago
14

A neighborhood park is circular in shape. One sector of the park needs repairing, so officials would like to block off that port

ion with barricades. The area of the sector is 45 yd2, and . Find the length of one side of the barricades (i.e., the radius of the circle).
A.r = 6.71 yd
B.r = 15 yd
C.r = 30 yd
D.r = 45 yd
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0
 Area of the sector is: 45 π yd² and the central angle is 72° ( or 360° : 5 ). Therefore area of the circle is 5 times greater than the sector:
A = 5 · 45 π = 225 π yd²
A = r² π = 225 π
r = √225 = 15
Answer: B ) r = 15 yd.
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0.75 on number line?
Anarel [89]
Where .75 will be on a number line always varies depending on how far out your number line goes. the decimal .75 is also known as 3/4, so the easiest way to find out where 3/4 is on a number line is to divide you number line into 4 even sections. this can be difficult if you have an odd number,, but it will always work as long as you divide the length of your number line by 4 to find out where to make your even sections. below is an example on how this would work:
lets say this is your number line
-------------------------         
that number line contains 24 dashes,, so if you take that number (which is the length of the number line) and divide it by 4 you will find where 3/4 is.
24 ÷ 4 = 6
this means that at every 6,, you add 1/4. on the number line it would look like the following:
------I------I------I------
     1/4   2/4   3/4
this technique shows you where 3/4/0.75 is on your number line.
let me know if you have any further questions
:)
6 0
3 years ago
Simplify the expression 3 1/3/3 1/3. Explain how the expression and its simplified form show that the set of irrational numbers
vampirchik [111]
The expression given is ambiguous according to the standard rules of math (PEMDAS) due to the lack of appropriate parentheses and probably the exponentiation symbol ^.

From the context, I assume it to mean
(3^(1/3)) / (3^(1/3)) = 1

Since 3^(1/3) is the cube-root of 3, and is thus irrational.
However, the quotient is exactly 1, which is a rational number.

The example is therefore a counter-example for the statement that "set of irrational numbers is closed under division", or stated differently,
"<span>the set of irrational numbers is not closed under division"</span>
5 0
3 years ago
A food bank is collecting cans to help people this Thanksgiving. The food bank started off with 40 cans of green beans and they
seropon [69]
75%  30/40= .75
Hope this helps 
7 0
4 years ago
A city places 18 trash cans along a 13.5 miles stretch of beach. The trash cans are placed an equal distance apart.
mylen [45]

Answer:

The cans are spaced 0.75 miles from each other.

Step-by-step explanation

Since the trash cans are placed at an equal distance we need to divide the total distance they cover by the number of cans that are spread across that distance in order to know how far apart they are. This is shown below:

distance between cans = (total distance)/(number of cans)

distance between cans = 13.5/18

distance between cans = 0.75 miles

The cans are spaced 0.75 miles from each other.

4 0
3 years ago
Peter Johnson had $120,000 taxable income. What amount is subject to the "continuing" Medicare tax? What is the percentage tax r
Lesechka [4]

Answer:

Amount subject to the "continuing" Medicare tax: $102,000

Percentage tax rate for the amount for a self-employed person: 2.9%

This amount represents: $3,480

Step-by-step explanation:

Take income tax percentage rates:

$120,000*0.029 = $3,480

4 0
4 years ago
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