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yulyashka [42]
4 years ago
10

Given a circle with a radius of 0.85 meters, find the area of 1/3 of the circle. Use 3.14 for pi and round to the nearest hundre

dth.
Mathematics
2 answers:
laiz [17]4 years ago
8 0

Answer: 0.76 square meters

Step-by-step explanation:

The area of circle is given by :-

\text{Area}=\pi r^2, where r is the radius of the circle.

Given: Radius of circle = 0.85

The area of circle will be :-

\text{Area}=(3.14) (0.85)^2=2.26865\ m^2

Now,  area of 1/3 of the circle is given by :-

A=\dfrac{1}{3}\times2.26865=0.7562166666\approx0.76\ m^2

olga_2 [115]4 years ago
7 0
1/3 x pi x radius squared 
1/3 x pi x 0.7225 = 0.7566002307 

0.76 to nearest hundredth 
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Priya has completed 9 eczema questions.THis is 60% of the questions on the exam? how many questions are on the exam?
qwelly [4]

Answer:

15 questions

Step-by-step explanation:

9x100=900

900/60=15

9/15=60%

plz mark me as brainliest.

7 0
3 years ago
Fill in the blank with the recursive function. Be sure to include the starting point.
erik [133]

Answer:

The recursive  function that represents the number of books Ashley has at any time is

a_n=a_{n-1}-n

starting at

a_1=100

Step-by-step explanation:

Ashley has 100 books that she wants to give away at the rate of n books per week.

So,

a_1=100\\ \\a_2=100-n=a_1-n\\ \\a_3=a_2-n\\ \\...\\ \\a_n=a_{n-1}-n

Thus, the recursive  function that represents the number of books Ashley has at any time is

a_n=a_{n-1}-n

starting at

a_1=100

4 0
3 years ago
Find the equation of the line through the given pair of points. (-7,-6) and (-4,9)
Softa [21]

Answer:

y=5x+29

Step-by-step explanation:

1. find slope

y2-y1/x2-x1

9--6/-4--7= 15/3=5

2. substitute x and y

(-4, 9)= 9=5(-4)+b

            9=-20+b

             29=b

3. put it together

y=5x+29

6 0
4 years ago
Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,159 was collected on the sale of 1,339 ticket
ivolga24 [154]

Answer:

  • 455 adult tickets
  • 884 student tickets

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then 1339-a is the number of student tickets sold. The revenue collected was ...

  5a + 1(1339-a) = 3159

  4a = 1820 . . . . . . subtract 1339, collect terms

  a = 455 . . . . . . . . divide by 4; adult tickets sold

  (1339-a) = 884 . . . . student tickets sold

455 adult tickets and 884 student tickets were sold.

5 0
3 years ago
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