Answer:
Evaluating Exponents. An exponent is a number that tells how many times the base number is used as a factor. For example, 34 indicates that the base number 3 is used as a factor 4 times. To determine the value of 34, multiply 3*3*3*3 which would give the result 81
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
Where, r is the radius of the circle.
Area of a square is:
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
So, the area of the square is:
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
Therefore, the correct option is (a).
Answer:
D) 1,036,800 boxes
Step-by-step explanation:
The volume of a box is ...
(20 in)(18 in)(15 in) = 5400 in^3
The volume of the storage space is ...
(300 ft)(240 ft)(45 ft) = 3,240,000 ft^3
Then the number of boxes that will fit in the storage space is ...
(3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes
Answer:
x - intercept = 0 and y - intercept = 0
Step-by-step explanation:
Using the two point slope intercept form, the formula is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
We are given the intercepts to be at
(2,1) and (6,3).
So, x1 = 2 and x2 = 6,while y1 = 1 and y2 = 3
Plugging into the equation, we have;
(y - 1)/(x - 2) = (3 - 1)/(6 - 2)
(y - 1)/(x - 2) = 2/4
(y - 1)/(x - 2) = 1/2
Cross multiply to get;
2(y - 1) = x - 2
2y - 2 = x - 2
2y = x
Now, the x intercept will occur at y = 0.
Thus,
2(0) = x
x = 0
Also, the y intercept occurs when x = 0.
So, 2y = 0
y = 0
x - intercept occurs at (0,0) and y - intercept occurs at (0,0)
