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IRINA_888 [86]
2 years ago
8

I need help with this question this one and a couple more and im done with this EdPuzzle

Mathematics
1 answer:
vladimir2022 [97]2 years ago
3 0
which one? I don’t see ay question
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Field book of an land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilatera
Kazeer [188]

Answer:

Total area = 237.09 cm²

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Field book of an agricultural land is given in the figure. It is divided into 4 plots. Plot I is a right triangle, plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)

From the figure attached,

Area of the right triangle I = \frac{1}{2}(\text{Base})\times (\text{Height})

Area of ΔADC = \frac{1}{2}(\text{CD})(\text{AD})

                        = \frac{1}{2}(\sqrt{(AC)^2-(AD)^2})(\text{AD})

                        = \frac{1}{2}(\sqrt{(13)^2-(19-7)^2} )(19-7)

                        = \frac{1}{2}(\sqrt{169-144})(12)

                        = \frac{1}{2}(5)(12)

                        = 30 cm²

Area of equilateral triangle II = \frac{\sqrt{3} }{4}(\text{Side})^2

Area of equilateral triangle II = \frac{\sqrt{3}}{4}(13)^2

                                                = \frac{(1.73)(169)}{4}

                                                = 73.0925

                                                ≈ 73.09 cm²

Area of rectangle III = Length × width

                                 = CF × CD

                                 = 7 × 5

                                 = 35 cm²

Area of trapezium EFGH = \frac{1}{2}(\text{EF}+\text{GH})(\text{FJ})

Since, GH = GJ + JK + KH

17 = \sqrt{9^{2}-x^{2}}+5+\sqrt{(15)^2-x^{2}}

12 = \sqrt{81-x^2}+\sqrt{225-x^2}

144 = (81 - x²) + (225 - x²) + 2\sqrt{(81-x^2)(225-x^2)}

144 - 306 = -2x² + 2\sqrt{(81-x^2)(225-x^2)}

-81 = -x² + \sqrt{(81-x^2)(225-x^2)}

(x² - 81)² = (81 - x²)(225 - x²)

x⁴ + 6561 - 162x² = 18225 - 306x² + x⁴

144x² - 11664 = 0

x² = 81

x = 9 cm

Now area of plot IV = \frac{1}{2}(5+17)(9)

                                = 99 cm²

Total Area of the land = 30 + 73.09 + 35 + 99

                                    = 237.09 cm²

7 0
3 years ago
The school auditorium can hold at most 480 people. There were 185 advance tickets sold for the school play. Write and solve an i
attashe74 [19]

Answer:

p + 185 ≤ 480

p ≤ 295

At most 295 people can attend the play

Step-by-step explanation:

3 0
2 years ago
Y is greater than or equal to 3and less than 7
In-s [12.5K]

Answer:

7 > y ≥ 3

Step-by-step explanation:

5 0
3 years ago
​PLEASE HELP! I will give you the brainiest and A LOT of points!
Alja [10]

Answer:The solution is in the attached file

Step-by-step explanation:

7 0
2 years ago
At a restaurant the bill was $35.10 with a 15% tip added on. How much is the total bill, rounded to the nearest whole cent?
blondinia [14]

Answer:

15% = 0.15

35.10 * (1 + 0.15) = $40.37



7 0
3 years ago
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