The question is asking to determine the dimension of a rectangular solid with a maximum volume if its surface area is 337.5 square centimeters and base on my further computation, I would say that the answer would be x= sqrt 56.25 and y = 7.5 and having a maximum volume of 421.875. I hope this would help
The slope of the line is 2. Why? Well, see below for an explanation!
The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.
Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.
The Pythagorean Theorem states that a triangle's hypotenuse is equal to the square's of the other two sides of the triangle.
a² + b² = c<span>²
a = side of triangle
b = other side of triangle
c = hypotenuse (squared)
Find the square root to find the accurate length of the hypotenuse.</span>
X^2 + 3x - 4 = 6
x^2 + 3x -10 = 0
(x + 5)(x - 2) =0
x = -5 or x = 2
solution set is {-5,2}
Answer:
81.75 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h (a + b)
where a, b are the parallel bases and h is the perpendicular height
Calculate h using the right triangle and the sine ratio
sin30° = 
= 
Multiply both sides by 10
10 × sin30° = h, thus
h = 5
a = 12 and b = 8.7 + 12 = 20.7, hence
A = × 5 × (12 + 20.7)
= 0.5 × 5 ×32.7
= 81.75 ft²
