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soldi70 [24.7K]
3 years ago
11

6. The function

Mathematics
1 answer:
motikmotik3 years ago
4 0
Creo que la respuesta es C. No soy bueno con el inglés, pero eso es lo que pienso. Lo siento si está mal.
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A square is inscribed in a circle with an area of 10 pi square inches. what is the area of the square
Naddik [55]
We need to determine the radius and diameter of the circle.  If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,

A = 10 pi in^2 = pi*r^2.  Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.

Thus, the diam. of the circle is 2sqrt(10) in.  This diam. has the same length as does the hypotenuse of one of the triangles making up the square.

Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square.  So, 4(10) in^2 = 2x^2.  Then:
                                 40 in^2  = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20).  The area of the square is the square of this result:

Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer).  Compare that to the 10 pi sq in area of the circle (31.42 in^2).
8 0
3 years ago
If 5x:(x-2) = 11:3 , find the value of x ?​
Masteriza [31]

Answer:

x = -11/2

Step-by-step explanation:

The ratios need to stay the same

5x        11

----- = -------

x-2       3

Using cross products

5x*3 = (x-2) 11

15x = 11x - 22

Subtract 11 from each side

15x-11x = -22

4x = -22

x = -22/4

x = -11/2

5 0
2 years ago
Read 2 more answers
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

5 0
2 years ago
Use the Venn diagram to list the set of elements of A ∩ B in roster form.
artcher [175]

Answer:

A. {e, h}

Step-by-step explanation:

In a Venn diagram, the set of elements in any intersection can simply be visualised. The elements contained in the region where the circles representing different sets overlap, are the set of elements of intersection.

In the Venn diagram given, the set of elements contained in the region where the circles representing A and B overlap are {e, h}.

{e, h} is common to both set A and set B.

7 0
3 years ago
PPPLEASE HELP<br><br> do the problem
Serggg [28]

Step-by-step explanation:

1. No: angles add to more than 180 deg.

2. Yes: each side's length is between the sum and difference of the lengths of the other two sides.

3. No: not every side's length is between the sum and difference of the lengths of the other two sides.

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5. Yes: for example, use 3 cm as the short leg in a 30-60-90 right triangle.

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