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horrorfan [7]
3 years ago
8

Solve for the missing side. Round to the nearest tenth. х 51° 12

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(51°) = x/12

  x = 12·cos(51°) ≈ 7.552

  x ≈ 7.6

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Point P is chosen at random in a circle. If a square is inscribed in the circle, what is the probability that P lies outside the
andrey2020 [161]

The probability that the point P lies outside the square is;1 - (2/π)

<h3>How to choose a point in a circle?</h3>

If a is the radius of the circle, then;

Area of the inscribed square = 2a²

Now, area of the circle is;

Area of circle = πa²

Thus, probability that the point lies outside the square is;

Area of between circle and square/area of circle

Area between circle and square = πa² - 2a² = a²(π - 2)

Thus;

P(the point lies outside the square) = a²(π - 2)/πa² = (π - 2)/π = 1 - (2/π)

Read more about Circles at; brainly.com/question/1559324

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5 0
2 years ago
Triangle 1 has an angle that measures 34° and an angle that measures 48°. Triangle 2 has an angle that measures 34° and an angle
ira [324]

Answer:

the value of x would be 108 degrees

Step-by-step explanation:

The computation of the value of x in degrees is shown below:

Given that both the triangles has the 34 degrees and 48 degrees

Now in the triangle 1 angle a  = 108 degrees

And, in the triangle 2 a = x

Now in this case both the triangles are similar to each other

So here the value of x would be 108 degrees

This represent the refute the claim of Bob

7 0
3 years ago
Find the length of the side of a square with an area of 25
Alexxx [7]
Area squares is the side*side, or
x^{2} =25
\sqrt{ x^{2} } = \sqrt{25}
x=5

So, each side equals 5.

4 0
3 years ago
An ellipse has a vertex at (1,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in stan
Mamont248 [21]

Answer:

\frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1

Step-by-step explanation:

The center of the ellipse at the origin, and (1,0) and (0,4) are the vertex and co-vertex of it.  

Therefore, the major and minor axis of the ellipse is X-axis and Y-axis respectively.

And the standard form of the equation of ellipse is \frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } =1, where a = half of major axis length and b = half of minor axis length.

So, a = 1 and b = 4.

Therefore, the equation of the given ellipse is \frac{x^{2} }{1^{2} } +\frac{y^{2} }{4^{2} } =1

⇒  \frac{x^{2} }{1 } +\frac{y^{2} }{16 } =1 (Answer)

5 0
4 years ago
Which is a shrink of an exponential growth function?
sattari [20]

Answer:

Shrink of an exponential growth function is f(x) = 1/3(3)^x

Step-by-step explanation:

3 0
4 years ago
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