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telo118 [61]
4 years ago
13

A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each

section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, space, m, e, t, e, r, s. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 m, start superscript, 2, end superscript
Mathematics
1 answer:
balu736 [363]4 years ago
7 0

Answer:

The area of each section of the circle is A=25\pi\ m^{2}

Step-by-step explanation:

we know that

Each section represent a quarter of circle

The area of a quarter of circle is equal to

A=\frac{1}{4}\pi r^{2}

we have

r=10\ m

substitute

A=\frac{1}{4}\pi (10)^{2}

A=25\pi\ m^{2}

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maxonik [38]

Answer:

  1. 1/3
  2. y-axis
  3. (1, -2)

Step-by-step explanation:

The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.

The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)

The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.

  C' + translation = D

  (1, 0) +(1, -2) = (2, -2)

3 0
3 years ago
What is 8.25 as a fraction in simplest form?
vekshin1
8 is a whole number, so this will be the whole number part of our mixed number.

0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

\sf\dfrac{25}{100}

Simplify by dividing 25 to the numerator and denominator.

\sf25\div25=1
\sf100\div25=4

So our fraction is \sf8\dfrac{1}{4}

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

\sf\dfrac{55}{100}

Simplify by dividing 5 to the numerator and denominator.

\sf55\div5=11
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So our fraction is \sf\dfrac{11}{20}

\sf\dfrac{5}{8}

To convert this to a decimal, just divide 5 / 8

\sf5\div8=0.625
3 0
3 years ago
Read 2 more answers
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
pentagon [3]

Answer:

x= -2   and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

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5 0
3 years ago
Find the quotient 22,080 ÷ 24?
Nikolay [14]

Answer:920

Step-by-step explanation:

plug it in a calculator

4 0
3 years ago
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The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5
N76 [4]
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
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The slope would then be

m = (9.5-3.5)/(6-2)
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Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
5 0
3 years ago
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