To solve this problem you must apply the formula for calculate the surface area of a circle, which is shown below:
SA=πir^2
where r is the radius of the circle
r=18 inches
By substituying values, you have that the surface area is:
SA=π(18 in)^2
SA=324π in^2
The answer is 324π in^2
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
Answer:
The p-value is 0.0229
Step-by-step explanation:
With
we have an upper-tail alternative. Because the p-value is defined as the probability of getting a value at least as extreme as the value observed. The observed value is given by the test statistic z = 1.997 which comes from a standard normal distribution. Therefore, we compute the p-value in the following way P(Z > 1.997) = 0.0229, i.e., the p-value is 0.0229
Answer: The answer is (d) 
Step-by-step explanation: Given equation to be factored is

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

So, the given equation can be factorised using the above rule. The factorisation is as follows.

Thus, the correct option is (d).
Answer:
B) B(2,-3) and C(-2,3)
Step-by-step explanation:
The given point A, has coordinates (-2,-3).
When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.
Therefore B will have coordinates (2,-3).
When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.
Hence the coordinates of C are (-2,3)