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3 years ago

What is the height of the Museu Blau in Barcelona, Spain.

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Well asuming that is the picture for the reference, look and the line in the middle of the triangle.

it has and h for height next to it so tha means that is the height of the Musceu Blau.

ans. 180

-----------------------------------------------------------------------------------------------------------------If you are truly wondering the height of the Musceu Blau, then . . .

The Museu Blau in Barcelona, Spain, is a natural science museum built in the shape of a triangular prism. The building is an equilateral triangle 180 meters on each side and 25 meters high (this is the depth of the prism). The height of each triangle is 156m.

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

A regular pentagon ABCDE is shown <br><br><br> Work out the size of X

nikdorinn [45]

The sum of the angles in a pentagon is 540°.

This means that each angle is 108°.

Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.

Angles in a triangle add up to 180°.

B and D will be the same size as this is isosceles.

180°-108° = 72°

This is B and D. You only need one of these, so you divide by 2.

The answer is 36°.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin

Vladimir [108]

F=5.77X10^9(1.032^(y-1985)), we want to know when this is:

2.2X10^12=5.77X10^9(1.032^(y-1985))

381.2825=1.032^(y-1985)

ln(3,812825)=(y-1985)ln(1.032)

ln(3.812825)/ln(1.032)=y-1985

y=1985+ln(3.812825)/ln(1.032)

y≈2027.5

So GDP will reach 2.2 trillion during the year 2027.

5 0

3 years ago

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neonofarm [45]

So
I=P⋅i⋅t=Ii⋅t=50000.04⋅6=20833.33

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3 years ago

Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4

Novosadov [1.4K]

The given matrix represent the following linear system

4x - 7y = -12
-14x + 4y = 4

Good luck!!!

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3 years ago