Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is staying at a private room on the shore that is 6 km east of that point. Gibril is planning to go from the room to the island. Suppose Gibril runs at a rate of 8 kmph and swims at a rate of 3 kmph. How far should Gibril run before swimming to minimize the time it takes to reach the island?

Answers

Answer 1

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .

Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .

t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]

[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]

[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]

Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get

[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]

[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]

8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex]  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

Mauritius Island Is 2 Km Due South Of Its Closest Point Along A Straight Coastline. Gibril Is Staying

Related Questions

A positive
B negative
C none
D multiple

Answers

the answer is positive because its is going in the positive column

Answer:

postive

Step-by-step explanation:

positive collums so it's positive


What is the volume of the triangular prism below?
20 ft
18 ft
15 ft
СА
B
1, 280 ft
1, 320 ft
2, 700 ft
5, 400 ft
OD

Answers

B is the correct answer

You are going to design a deck or a dock for your cottage. Your deck/dock must be a composite shape made out of 3 shapes - 2 will be "glued” together and 1 will be "cut out” of the other(s). You must use 3 different geometric shapes. Design your deck/dock by including a diagram with
measurements. Make sure your measurements are realistic! You will need material to make your deck/dock so determine the area of your deck/dock so you will know how much material you will need and how much space you will have to use.

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Cool man hehe haha lee when you go

You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!

Answers

Answer:

d. if graphed, the ordered pairs would form a straight line.


5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8

Answers

Answer:it has to be A

Step-by-step explanation:

The correct answer to your question is letter A!

Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?

Answers

Answer:

Elimination (multiplication and subtraction)

There is 1 solution

Step-by-step explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)

What is the value of the expression 9 x 4 - (2 x 1/2)

Answers

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Please answer its fill in the blanks

the words are at the bottom

Answers

1 is f 2 is c 3 is a 4 is h and 5 is b

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

what is the length of side B in the above right triangle​

Answers

Answer:

b is 3 pythagorean theorem

Step-by-step explanation:

Answer:

your answer for B is 3

Step-by-step explanation:

this is easy its a Pythagorean Triple (with triples u dont have to do much work all u have to do is know ur Triples and its that easy)

so the Triples are

3,4,55,12,138,15,177,24,25

p.s you might want to write these down for the future

so if we look at this picture of the triangle we can tell its a 3,4,5 triple

and there is one missing side which is 3.

Teresa tiene 12 años , su hermano pere tiene 7 y su padre 44. QUANTOS AÑOS TIENE Q PASAR PARA Q LA SUMA DE LAS EDADES DE TERESA Y SPERE SEAN IGUALES

Answers

Answer:

Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Step-by-step explanation:

Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:

12 + 7 = 19

44 - 19 = 25

44 + 25 = 69

(12 + 25) + (7 + 25) = 37 + 32 = 69

Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)​

Answers

Answer:

The area of the label is 176,000 cm²

Step-by-step explanation:

The given parameters are;

The radius of the cylindrical container, r = 14 cm

The height of the cylinder, h = 20 m

The area covered with the label = The curved surface of the cylinder, A

The curved surface area of a cylinder, A = 2 × π × r × h

π = 22/7

∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000

A = 176,000 cm²

∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².

What does (-3+ -2+ 5)2 equal to

Answers

-3 + -2 = -5

-5 + 5 = 0

0 x 2 = 0

Hey there!

(-3+ -2 + 5)(2)

(-3 - 2 + 5)(2)

-3 - 2 = -5

(-5 + 5)(2)

-5 + 5 = 0

0(2) = 0

Possible answer #1: 0

(-3 + -2 + 5)^2

(-3 - 2 + 5)^2

-3 - 2 = -5

(-5 + 5)^2

-5 + 5 = 0

0^2 = 0 * 0 = 0

Possible answer #2: 0

Overall answer you’re probably looking for is: 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 ​ B \frac{3}{2} 2 3 ​ C 1\frac{3}{4}1 4 3 ​ D \frac{4}{4} 4 4 ​ Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 ​ miles. Which track does Franklin race on?

Answers

Answer:

51

Step-by-step explanation:

51 is elaginlent to 44 and 33 12 garde things

Help plz..And No links!! I repeat No links!!

Answers

Answer:

5 more wheelbarrows

Step-by-step explanation:

10-5

What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between the angles of a triangle and its sides?

Answers

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

You dont have to tell me the answers for those, just what x equals, please.
1) (2x - 1)3 = 9 commutative 2) 3(1x) = 9

3) 6x - 1 = 9 4) 6x - 3 = 9 distributive

5) 3*2x - 3*1 = 9 distributive 6) 3(1 - 2x) = 9

What is the value of x? How do you know?

Answers

Answer:

go to photo math

Step-by-step explanation:

This box is packed with cubes that measure one cubic foot.

Enter the volume of the box in cubic feet. _____ cubic feet.

Answers

Answer:

The answer is 84 cubic feet.

Step-by-step explanation:

3 x 4 = 12.  12 x 6 = 72. 72 + 12 = 84

Please please help me

Answers

Answer:

The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base.

Step-by-step explanation:

Which equation represents the formula for the general term, gn , of the geometric sequence 3 , 1 , 1/3 , 1/9 . . .?

Answers

Answer:

Explicit

gn = 3(1/3)^(n-1)

Recursive

gn =1/3gn-1

Step-by-step explanation:

3 , 1 , 1/3 , 1/9 . . .

gn = ar^(n-1)

Where,

a = first term = 3

r = common ratio = 1/3

Check:

g2 = ar^(n-1)

= 3(1/3)^(2-1)

= 3/3^(1)

= 1^1

= 1

The explicit formula is

gn = ar^(n-1)

gn = 3(1/3)^(n-1)

The recursive form for a geometric sequence is gn = rgn-1

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Where,

gn = 3

Pls I just need the equation for this one

Answers

Answer:

y=1/3x

Step-by-step explanation:

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Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages

Answers

Answer:

Rida is 10 years old and her father is 40 years old.

Step-by-step explanation:

Given:

Present age

Present age of Rida = x

Present age of Rida's father = 4x

Age after 5 years

Age of Radi after 5 years = x + 5

Age of Radi's father after 5 years = 3(x + 5)

What To Find:

The present age of Rida and Rida's father.

Solution:

According to the statement the equation will be,

⇒ 4x + 5 = 3(x + 5)

Remove and solve the brackets,

⇒ 4x + 5 = 3x + 15

Take numbers to RHS and variable to LHS,

⇒ 4x - 3x = 15 - 5

Subtract 3x from 4x and 5 from 15,

⇒ x = 10

Now substitute the values of Rida's age and Rida's father's age,

Rida's age = x = 10 years

Rida's father's age = 4x = 4(10) = 40 years

Can please someone help me

Answers

Answer:

1. $40

2. 10 computers

3. 300 miles

Step-by-step explanation:

1. Time between 12:00 and 2:00 is 2 hours, the difference in the money is $10, so the money earned per hour is $5. 5:00 is 3 hours from 2:00, so 25+5*3 is 40, or $40.

2. Time between 1:00 and 3:00 is 2 hours, and the difference in the numbers of computers fixed is 2, so the number of computers fixed per hour is 1. 6:00 is 3 hours from 3:00, so 7+3*1 is 10, or 10 computers.

3. Time between 6:00 and 9:00 is 3 hours and the difference in the distance is 150 miles, so the miles traveled per hour is 50. 12:00 is 3 hours from 9:00, so 150+50*3 is 300, or 300 miles.

plzz help me with the correct ans find x ​

Answers

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

The answer is 15. Because yes

Made this for twitch please answer this please

Answers


Player B should shade in 2 circles as there is 5 left meaning if player B circled 2 and player A circled one player B could circle the last 2 and if player A circled 2 then player B could have the last one if that makes sense

Round 25446 to 1 significant figure

Answers

Answer:

30000

Step-by-step explanation:

what is the value of x.

Answers

Answer: x=45

(3x-9)+30+24=180
3x-9+54=180
3x+45=180
-45 -45
3x=135
x=45

Explanation: All interior angles of a triangle add up to 180°. Add all interior angles and set it up equal to 180°. Then solve for x.

Simplify 6(x + 3).

6x + 3
x + 18
6x + 18
6x + 9

Answers

Answer:

the answer of this question is = 6x + 18

Write the equation of the line in the following graph:​

Answers

Answer:

Y = -1/2 - 2

Step-by-step explanation:

Y - intercept (b value in y = mx + b) equals -2.

Slope is -1/2

Answer:

the equation of the line in the following graph:​ y = -1/2x - 2

What is the positive square root of 1​

Answers

You want to find the positive square root of 1

Figure out which number squared (multiplied by itself) equals 1

The number 1 squared equals 1

1^2 = 1 × 1 = 1

So the positive square root of 1 is 1

[tex] \\ [/tex]

#CarryOnLearning!

Write an expression for the phrase.
A number increase by ten.
No links

Answers

Answer:

n + 10

Step-by-step explanation:

im pretty sure thats right, im sorry if not but have a great day!

Answer:

I'm not tryna be a but do u know how to ask questions in the app

Step-by-step explanation:

pls

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