Answer: 7,8,9
Step-by-step explanation:
Let the numbers be a, a+1 and a+2. Therefore, based on the question, this will be:
= (a + 1)(a + 2) = 72
a² + 2a + a + 2 = 72
a² + 3a + 2 - 72 = a
a² + 3a - 70 = 0
a² + 10a - 7a - 70 = 0
a(a + 10) - 7(a + 10)
a - 7 = 0
a = 7
Since a = 7
a + 1 = 7+1 = 8
a + 2 = 7+2 = 9
The numbers are 7,8 and 9
Answer:
A. 18.99
Step-by-step explanation:
Times 75.95 by .25 and you get the amount taken off
Answer:
= 
Step-by-step explanation:
When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.
So we have:
= 
= 
Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.
= 
Answer: a)
+
= 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+
= 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a =
= 48.5 and b =
= 23, so the equation will be
+
= 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
= 

c = 
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
Answer:
it is scalene type of triangle because no sides are equal