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.
Hello!
So to find the y-coordinate we need an equation for the line. The equation we can use is
y = mx + b
In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.
10 = 3(0) + b
10 = 0 + b
10 = b
So now that we've found b, we can use this in our equation
y = 4x + b
So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.
y = 4(2) + 10
y = 8 + 10
y = 18
18 is your y-coordinate
Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3
Let the total number of questions in the math test be defined by the variable x.
Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.
The information we have above can be expressed as an equation given below:
70% of x=35
This can be rewritten as:
Thus, to find the total number of questions we will have to isolate x.
Therefore, there were a total of 50 questions in the math test.
