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pshichka [43]
3 years ago
9

In a park, a sidewalk is built around the edge of a circular garden as shown below. The sidewalk is 5 feet wide, and the garden

measures 20 feet across. Which measurement is closest to the circumference of the outer edge of the sidewalk?
A.
75ft

B.
90ft

C.
30ft

D.
700ft
Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

B.  90ft

Step-by-step explanation:

-The diameter of the outer edge will be equivalent to the garden's diameter plus twice the sidewalk's width:

D=D_g+2W_s\\\\=20+2\times5\\\\=30\ ft

#The outer circumference can then be calculated as:

C=\pi D\\\\=30\PI\\\\=94.25\ ft

Hence, the measurement closest to this circumference value is 90 ft

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-1 mod 19 please show work a =dq+r
kupik [55]

Answer:

The given expression can be written as -1=19(-1)+18.

Step-by-step explanation:

According to quotient remainder theorem:

For any integer a and a positive integer d, there exist unique integers q and r such that

a=d\times q+r

It can also written as

a\text{mod }d=r

The given expression is

-1\text{mod }19

Here a=-1 and d=19.

\frac{-1}{19}=19(-1)+18

-1\text{mod }19=18

If -1 is divides by 19, then the remainder is 18. The value of r is 18.

Therefore the given expression can be written as -1=19(-1)+18.

3 0
4 years ago
How do you find the range and domain??
stepan [7]

Answer:

In general, we determine the domain of each function by looking for those values of the independent variable (usually x) which we are allowed to use. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)

Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)

Make sure you look for minimum and maximum values of y.

Draw a sketch! In math, it's very true that a picture is worth a thousand words.

Step-by-step explanation: hope this helps <3

8 0
3 years ago
Read 2 more answers
Part D
Brilliant_brown [7]

Answer:

Inequality

x+35=56

Step 1: Subtract 35 from both sides.

x+35−35=56−35  

So the answer is 21.

Step-by-step explanation:

5 0
3 years ago
If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number
nata0808 [166]

Answer:

x = 60

Step-by-step explanation:

80/ 4+x = 16

(4 + x) * 80/ 4+x = 16 = 16 (4 + x)

80 = 16 + 4 + x

80 = 20 + x

60 = x or x = 60

3 0
4 years ago
When a figure is dilated what type of figure is created
garik1379 [7]
Dilation- A figure that grows or shrinks but still maintains its very shape.
6 0
3 years ago
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