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Answer:
Area = 342, Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length = (4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) = (4 is the arm length) = 320
Square area = side * side = 4 * 4 = 16
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6
So total area is 320 + 16 + 6 = 342
Answer:
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Step-by-step explanation:
According to the options, we have,
1. Some numbers, such as , have a decimal expansion that terminates.
It is correct as the decimal expansion of is 0.1, which terminates.
2. All real numbers have a decimal expansion.
This is also correct as both rational and irrational numbers can be written in decimal form.
3. Some numbers, such as do not have a decimal expansion
This is not correct as i.e. it has a decimal expansion.
4. Only some real numbers have a decimal expansion.
It is not correct as 2 is correct.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
It is correct as , which is non-terminating decimal expansion.
So, the correct options are,
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.