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2 years ago

The area of a rectangle is 5/8 meter. The length of the garden is 1/5 meter. What is the width of the rectangle?

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Width of rectangle is $Width=\frac{25}{8} meters$

Step-by-step explanation:

Area of rectangle = $\frac{5}{8}$

Length of garden = $\frac{1}{5}$

Width of rectangle = ?

Using the Formula:

Area = Length * Width

Putting values and finding width:

$\frac{5}{8}=\frac{1}{5}*Width\\ Width=\frac{5}{8}\div\frac{1}{5}\\Width=\frac{5}{8}*\frac{5}{1}\\Width=\frac{25}{8} meters$

So, width of rectangle is $Width=\frac{25}{8} meters$

Keywords: Area of rectangle

Learn more about Area of rectangle at:

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Two teams of movers are lowering a piano from the window of a 10 floor apartment building. The rope breaks when the piano is 30

GuDViN [60]

By solving the motion equations for the piano, we will see that they have 0.7 seconds to react.

<h3>How to find the motion equation for the piano.</h3>

So the piano is in a free fall from a height of 30m.

The motion equations will be given by:

The only force acting on the piano will be the gravitational one, thus the acceleration of the piano is the gravitational acceleration: a(t) = -9.8m/s^2 (Where the negative sign is because it is falling down).
To get the velocity we integrate over time, because the piano has no initial velocity, the constant of integration is zero: v(t) = (-9.8m/s^2)*t
To get the position equation we integrate again, here the initial position is 30 meters above the ground, so that will be our constant of integration: p(t) = (1/2)*(-9.8m/s^2)*t^2 + 30m

<h3>How long takes to fall?</h3>

We want to find the value of t such that the position is equal to zero, so we need to solve:

0 = (1/2)*(-9.8m/s^2)*t^2 + 30m

30m = (1/2)*(9.8m/s^2)*t^2

2*30m/(9.8m/s^2) = t^2

6.1 s^2 = t^2

√(6.1 s^2) = 2.5s = t

This means that the piano falls to the ground in 2.5 seconds.

But the workes notice it when the piano is 14 meters above the ground, it happens when:

p(t) = 14m = (1/2)*(-9.8m/s^2)*t^2 + 30m

Solving that we get:

30m - 14m = (1/2)*(9.8m/s^2)*t^2

2*16m/(9.8m/s^2) = t^2

3.27s^2 = t^2

√(3.27s^2) = t = 1.8s

So the piano falls in 2.5 seconds, and the works notice it 1.8 seconds after it starts falling, meaning that they have:

2.5 - 1.8 = 0.7 seconds to react.

If you want to learn more about motion equations, you can read:

brainly.com/question/2473092

4 0

2 years ago

I need help asap!!!!!!!!!!!!

eimsori [14]

Answer:

121 books

Step-by-step explanation:

bc that equals 11 so there are 11 squares plus the two missing ones from before so u do 11x11 which would be 121

hope this helps :>

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3 years ago

Tim is designing a logo. The logo is a polygon. Whose shape is a square attached to an equilateral triangle. The square and the

mestny [16]

Square = 2*2=4
Triangle = 2*1.7=3.4
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3 years ago

Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4

nekit [7.7K]

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿ Sum of the Roots : α + β $\mathsf{= \frac{-b}{a}}$

✿ Product of the Roots : αβ $\mathsf{= \frac{c}{a}}$

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots $\mathsf{: (6 + 3) = \frac{-b}{4}}$

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots $\mathsf{: (6 \times 3) = \frac{c}{4}}$

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

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3 years ago

Mr Mushnik is 47, his twin brothers are 56 and his twin sisters are 59.

anastassius [24]

Answer:

362 is the answer

Step-by-step explanation:

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2 years ago