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RideAnS [48]
3 years ago
5

A point in the figure is selected at random. Find the probability that the point will be in the part that is not shaded

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0

Answer with Step-by-step explanation:

The figure is in the shape of a square

Let length of square be 2r

The, radius of the semicircles will be r

Area of shaded region i.e. Area of two semicircles=Area of a circle

                                                                                   = πr²

Area of whole figure= area of square=(2r)²

                                                            =4r²

area of region that is not shaded=(2r)²-πr²

                                                     = (4-π)r²

P(point will be in part that is not shaded)

=   area of region not shaded/total area of figure

=    (4-π)/4

= 0.2146

≈ 20%

Hence, the correct option is:

D about 20%

Mariulka [41]3 years ago
4 0
I believe the answer is 25% or C). If you flip the half circles around then you get a full circle. When you look at the corners it is about 25%
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From a hot air balloon that is between his house and parade, john measures the angle of depression to his house of 35 and to the
igomit [66]

4500 feet

Step-by-step explanation:

We can begin by finding x using the tangent rule;

The tangent of the angle = the length of the opposite side / the length of the adjacent side

Tan 35 = 3500 / x

X = 3500 / tan 35

X  = 3500 / 0.7

X = 5000

Now that we have x we can calculate the value of ? using the same tangent rule;

Tan 42 = ? / 5000

? =  tan42 * 5000

? = 0.9 * 5000

? = 4500

Learn More:

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4 0
3 years ago
Read 2 more answers
Help please thank you!!!!
Nana76 [90]
1. You have that:

 - The trapezoids are similar.
 - The larger  base of the smaller trapezoid is 18 m and its area is 310 m².
 - The larger base of the larger trapezoid is 32 m.

 2. Then:

 Sides=18/32
 Sides=9/16

 Area=(9/16)²
 Area=81/256

 3. Now, you can find the area of the larger trapezoid, as below:

 81/256=310/x
 81x=(310)(256)
 x=79360/81
 x=980 m²

 Therefore, the answer is: The area of the larger trapezoid is 980 m².
4 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
What is (57/tan30°)m^2
iVinArrow [24]
57\sqrt{3}m^2. Enjoy!
6 0
3 years ago
Use the image below to answer the following question:
nikdorinn [45]

Answer:

The ratios are both identical. (4 over 5 and 4 over 5)

Step-by-step explanation:

Th picture below represent the image you are referring.

sin x = opposite / hypotenuse

opposite side = 4

hypotenuse = 5

sin x° = 4/5

cos y° = adjacent/hypotenuse

adjacent = 4

hypotenuse = 5

cos y° = 4/5

The ratios are both identical (4 over 5 and 4 over 5)

6 0
2 years ago
Read 2 more answers
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