Characteristics of parallelogram

Mathematics

1 answer:

nadya68 [22]3 years ago

3 0

Opposite sides are parallel
Opposite angles are congruent
Opposite sides are congruent.

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Describe the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block as shown.

masha68 [24]

Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)

Step-by-step explanation:

For this exercise it is important to remember the definition of a "Cross section".

In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.

In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.

Observe in the picture attached in the exercise that the cylinder-shaped cheese block is cut through perpendicular to its base.

By definition, when this perpendicular cut happens, the shape obtained is a Quadrilateral which has four equal angles that measure 90 degrees and whosepposite sides are parallel have equal length.

Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.

3 0

3 years ago

Write 9 as a power of the base 3

malfutka [58]

9 = 3^2
Since 3 squared equals 9, that is how 9 as a power of the base 3 should be written.

4 0

3 years ago

The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri

Andrej [43]

FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
For this case what we have is the following:
For the two semicircles we can model it as a complete circle.
We have to then:

Perimeter:
P = 2 * pi * r
or
P = pi * d
Where,
r = radius
d = diameter
Therefore the perimeter is:
P = 10 * pi
For the largest circle we have:
radius = 10
Perimeter:
P '= 2pi10
P '= 20pi
1/4 since 1/4 circle:
P '' = 20pi / 4 = 5pi
Then, the total perimeter of the source is:
Pt = P + P '' = 10pi + 5pi = 15pi
Pt = 15 * (3.141592)
Pt = 47.1239
round
Pt = 47.1 ft

Area:
The total area will be:
A = A (two semicircles) + A (quarter big circle)
A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
A = 98.17477042 feet ^ 2
Round:
A = 98.2 feet ^ 2

Answer:
Perimeter of the source:
Pt = 47.1 ft
Area of the source:
A = 98.2 feet ^ 2