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Blababa [14]
3 years ago
6

Find the area of the following ellipse. a = 4.5 m; b = 5.5 m

Mathematics
2 answers:
LenaWriter [7]3 years ago
6 0

Answer:

Area of ellipse is ≈ 77.78 m^{2}

Step-by-step explanation:

Given the dimension of ellipse

  a = 4.5 m

  b = 5.5 m

Now, Area of ellipse = \pi ab

                                  = \frac{22}{7}\times 4.5\times 5.5

                                  = \frac{5445}{70}

                                  = 77.78 m^{2}

Hence Area of ellipse will be 77.78 m^{2}

sleet_krkn [62]3 years ago
4 0
It would be b your grat anwswer
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Question 2: 15% of the students in the marching band wear glasses. If 12 students wear glasses how many students are in the marc
pochemuha

Answer:

80\ students

Step-by-step explanation:

Let

x-----> the total students in the marching band

Applying proportion

\frac{12}{15\%} =\frac{x}{100\%}\\ \\x=12*100/15\\ \\x= 80\ students

3 0
3 years ago
Please help ♡♡♡♡♡♡♡♡♡​
zhannawk [14.2K]

Answer:

71°

Step-by-step explanation:

BDH is a triangle (as seen on figure)

<BDH + <DBH = <DHE ( Sum of two interior angles of a triangle is equal to the opposite exterior angle)

40° + 31° = X

X = 71°

7 0
3 years ago
What is the slope of (2,-1) and (8,4)
qaws [65]

Answer:

5/6

Step-by-step explanation:

slope = 4-(-1)/8-2 = 5/6

5 0
1 year ago
A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra
S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

                          Compounds money quarterly

                          Double your money in 10 years

Step:1

              Formula to calculate future investment with compounded quarterly,

                                                        A =P(1+\frac{r}{n} )^{nt}...............................(1)

              Where, A - Future amount

                           P - Initial investment\

                            r - Rate of interest

                            n - No. of compounding in a year

                             t - No. of years

Step:2

               Let, P = X

                      A = 2X ( Double your money )

              From given, n - 4 ( for compounding quarterly )

                                    t - 10 years

               From equation (1)

                                                        2X =X(1+\frac{r}{4} )^{(4)(10)}

                                                         \frac{2X}{X}  =(1+\frac{r}{4} )^{(4)(10)}

                                                            2  =(1+\frac{r}{4} )^{40}

          Take root 40^{th} root on both side,

                                                         \sqrt[40]{2} = (1+\frac{r}{4} )

                                            1.017479692 = (\frac{4+r}{4} )

                                     (1.017479692)(4) = (r+4)

                                                  4.06992=(r+4)

                                                              r = 4.06992 -4

                                                              r =( 0.06992)(100)

                                                              r = 6.992 %

Result:

             The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0
3 years ago
Sanjay had a case of 24 bottles of water. In the first week Sanjay drank 3/8 of the bottles of water. In the second week Sanjay
Gnom [1K]

Answer:

The answer to your question is: 5 bottles

Step-by-step explanation:

Process

First week

Divide 24 by 8

                        24/8 = 3 bottles = 1/8

                        but Sanjay drank 3/8 = 9 bottles

And there are 24 - 9 bottles left = 15

- Second week

Divide 15 by 3

                       15/3 = 5 then 5 bottles = 1/3

                       but sanjay drank 2/3 = 10 bottles

Then, there are 15 - 10 bottles left  = 5

                         

8 0
3 years ago
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