Length of a rectangle is 2.5 cm and it’sarea is 12.5cm2. Ram found that the breadth of the rectangle is 5 cm while Rahim found that the breadth is 10 cm. Who is correct? Justify your answer.

Answers

Answer 1
Answer:

Step-by-step explanation:

ram is true because when 2.5 is multiplied to .5 centimeters then answered becomes 12.5 centimeters square


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What is the sum of all the positive integers from square root 14 to square root 80

Answers

The sum of all the positive integers from square root 14 to squareroot 80 is 30.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We need to find the sum of all the positive integers from square root 14 to squareroot 80.

√14 = 3.74

√80 = 8.94

Thus, √14 +√80

4 + 5+ 6 + 7 + 8

= 30

Therefore, the sum of all the positive integers from square root 14 to squareroot 80 is 30.

Learn more about perfect square;

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Answer:

The sum is 30.

Step-by-step explanation:

√(14)=3.74\n√(80)=8.94\n4+5+6+7+8 = 30

The coordinates of the point on the curve y=x²+3x+4 the tangent at which passes through the origin are - a. (-2,2)(2,14) b. (1, -1) (3,4) c. (2.14)(2,2) d. (1,2) (14,3)

Answers

To find the coordinates of the point on the curve where the tangent passes through the origin, we need to find the equation of the tangent line and then solve for the x-coordinate of the point of tangency.

Let's break it down step by step:

1. Start with the equation of the curve: y = x² + 3x + 4.

2. Find the derivative of the curve to find the slope of the tangent line. The derivative of y = x² + 3x + 4 is dy/dx = 2x + 3.

3. Set the derivative equal to the slope of the line passing through the origin, which is 0 since the line is horizontal. So, 2x + 3 = 0.

4. Solve the equation to find the x-coordinate of the point of tangency. Subtract 3 from both sides: 2x = -3. Divide by 2: x = -3/2.

5. Plug the x-coordinate back into the original equation to find the y-coordinate. y = (-3/2)² + 3(-3/2) + 4 = 9/4 - 9/2 + 4 = 9/4 - 18/4 + 16/4 = 7/4.

6. Therefore, the point on the curve where the tangent passes through the origin is (-3/2, 7/4).

None of the given options match the coordinates (-3/2, 7/4). Therefore, none of the options are correct.

2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?

Answers

Answer:

$20.84

Step-by-step explanation:

div 1 = $0.50

div 2 = $0.50

div 3 = $0.50 x 1.05 = $0.525

div 4 = $0.525 x 1.05 = $0.55125

years 5 and beyond we need to use the growing perpetuity formula:

stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32

now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:

stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84

The triangles are similar. If DE = 12, EF = 10, and BC = 5, find AB.

Answers

AB/BC = DE/EF => AB = BC× DE/EF = 5X12/10 = 6

Answer: AB=6

Step-by-step explanation:

AB=12×5/10= 6

En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?

Answers

Answer:

yo just search up Spanish translator

1 . a person who weighs 100 pounds on earth weighs 16.6 ib on the moon. part a. how much would a 185 pound astronaut weigh on the moon? use an equation to explain how u know part
b. how much would a man the weighs 50 pounds on the moon weigh on earth?

Answers

M = E/6

a) 185/6 lb = 30.8333... lb
b) 300 lb