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.
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again:
Answer:
54.5 Sq. cm
Step-by-step explanation:
<em>area of a right angled triangle = 1/ 2 × base × height </em>
(here, the base is 8 and height is 6)
= 1/ 2 × 6 × 8
= 4 × 6
<u>= 24 Sq. cm</u>
<em>area of a circle</em> = 
r²
(r is the radius that is diameter/ 2, and the value of is 3. 14)
= 3. 14.× (5)²
= 3.14 × 25
<u>= 78.5 Sq. cm</u>
area of the shaded region = area of Circle - area of triangle
= 78.5 - 24
<h3>= 54.5 Sq. cm</h3>
that is option 3
