Answer:
20.25 m²
Step-by-step explanation:
the area (A) and circumference (C) of a circle are calculated using the formulae
C = 2πr and A = πr² ( where r is the radius )
calculate the radius using the formula for circumference
2πr = 9π ( divide both sides by 2π )
r = 
= 
= 4.5, hence
A = π × 4.5² = 20.25π m²
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
The area of square LMNP is 50
<h3>What is a circle?</h3>
A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.
A circle is defined if the center and the radius is known.
Analysis:
Perimeter of a circle = 2πr
Given perimeter = 10π
2πr = 10π
2r = 10
r = 10/2 = 5
r = MO
so the diagonal of the square is actually the diameter of the circle = 5+5 = 10
To find the side, x of the square the diagonal and the sides form a right-angled triangle, by Pythagoras, 
= 
+
2 = 100
= 100/2 = 50
Also area of square is = 50
In conclusion, the area of square LMNP is 50
Learn more about circles: brainly.com/question/24375372
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Answer:3.2
Step-by-step explanation:
Answer:
The correct option is d) convenience sample
Step-by-step explanation:
In statistics, we use different sampling techniques to gather a chunk of sample data from a very large population.
There are many sampling techniques and out of them one is convenience sampling.
Convenience Sampling:
The convenience sampling is defined as the sample data which is readily and conveniently available.
Examples:
1. Asking people questions at a place that is convenient for you.
2. Asking your friends or family members
3. A college student asking for student's opinion at the college who is surveying for his thesis.
In the given scenario, Kristen Ashford has list of 5,000 subscribers for Wind Surfing magazine. She chooses the first 100 of the 5,000 names, this is clearly a convenient sample since the sample is easily, readily and conveniently available.
If she had selected 100 names randomly then it would have been called random sampling but in this case, she simply selected the first 100 names for the sake of convenience therefore, it is a convenience sample.
