1- If Antonio did ten laps in the pool , how many minutes will it take him?

2-Antonia and Maria each swam laps in a pool. Who has the best time per lap.

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

so, sp is Rs 63000.

hope it helps.

Answer:

400

Step-by-step explanation:

12.50times 32

Circumference = 2×π× radius

Circumference = 2 × 3.14 × 3

Circumference = 18.84

Solution for the radius of a circle of radius 3 . I'm sorry if I made a mistake, I am not sure of the solution.

But is there a fee for the question?

These two laws can help you in the question:

Circumference = π× diameter of the circle. Circumference = 2×π× radius

The circumference of the yellow circle should be considered as the 18.84.

Since

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm

So here the circumference be like

= 2×π× radius

= 2 × 3.14 × 3

= 18.84

hence, The circumference of the yellow circle should be considered as the 18.84.

Learn more about circle here: https://brainly.com/question/2031248

Answer:

1 foot = 0.333333 yards

Explanation:

In order to find the conversion for feet to yards for any other rational number, multiply the foot variable by the 0.333333 yard variable.

Example:

3 · 0.333333 = 0.999999  , aka , three feet of rope equals nine tenths repeating

Answer:

4 hours

Step-by-step explanation:

You divide 12 by 3 and the answer is 4.

hope this helped

Answer: [tex]527\ ft^2[/tex]

Step-by-step explanation:

Given

Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]

Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]

There are five side of wall to be painted leaving only the floor

Area is given by

[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]

Answer:

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Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

Answer:

[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]

Step-by-step explanation:

We are given the square root function below:

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.

From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.

Hence,

[tex] \large{y = \sqrt{x - a} }[/tex]

And thus, the domain is

[tex] \large \boxed{x \geqslant a}[/tex]

Since if x < a, the output would become an imaginary number.

From the given function,

[tex] \large{g(x) = \sqrt{x - 2} }[/tex]

From the form of sqrt(x-a) where domain is a-term which is 2.

Since a = 2, and thus

[tex] \large \boxed{x \geqslant 2}[/tex]

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Answer:

The friend caught the ball at 2 feet.

Step-by-step explanation:

1. False; the ball was not still in the air at 1 second the x-component of the vertex is 0.5.

2. False; the x-component of the vertex is 0.5

3. True; the ball was tossed at a height of 2 feet (when x=0, y=2), it is safe to assume the ball was caught at the same height.

4. False; when x = 0, y = 2.

Answer: A  Rhombus has 4 congruent sides .

Answer:

no it's me too haha

Step-by-step explanation:

yes currently i am taking my pre calc final and am definitely failing it

Answer:

12,18 6 inbetween

Step-by-step explanation:

Answer:

285.25

Step-by-step explanation:

Basically we multiply them as normal numbers so,

815*35 = 28525

Then we take the amount of spots each number had to the RIGHT of the decimal point

81.5 = 1

3.5 = 1

1+1= 2

So: 28525. move to the left 2 times to get 285.25

Answer:

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Step-by-step explanation:

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Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible

3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Answer:

The y-int is different -1 is the y-int.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

Answer:

Use the ratio of corresponding sides of similar triangles.

#1

#2

#3

#4

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

Answer:

22.07 ft & 9.32 ft

Step-by-step explanation:

by sines rule :

20/sin 65° = r/sin 90° = y/sin 25°

r = 20×sin 90°/sin 65° = 20/0.9063

= 22.07 ft

y = 20×sin 25°/sin 65° =

20× 0.4226/0.9063

= 9.32 ft