Answer:
426.9 Km²
Step-by-step explanation:
The shaded area is the area of the triangle subtract the area of the circle.
Area of triangle = 0.5 bh ( b is the base and h the perpendicular height )
Here b = 40 and h = 27, thus
Area = 0.5 × 40 × 27 = 20 × 27 = 540 Km²
Area of circle = πr² ← r is the radius
Here the diameter is 12, thus radius = 12 ÷ 2 = 6
Area = π × 6² = 36π ≈ 113.1 Km²
Shaded area = 540 - 113.1 = 426.9 Km²
Answer:
Prime factors of 7719 are 3, 31 and 83
Step-by-step explanation:
Prime factors of 7719 are:
3, 31 and 83
83 × 93 hence is not the prime factorization of 7719
Answer:
A. $6.67
Step-by-step explanation:
a) 2y -3x + 8
a) y = - 3/2x + 8/2
a) y = - 3/2x + 4
b) 5y - 15x = -30
b) 5y = 15x - 30
b) y = 15/5x - 30/5
b) y = 3x - 6
3x - 6 = 3/2x + 4
3x -3/2x = 4+6
3/2x = 10
x = (10) / (3/2) = $6.67
Answer:
See below
Step-by-step explanation:
Part A: The expression would be (4x+5)(3x+10), or, when expanded, 12x^2+55x+50 since the area of a rectangle is length*width
Part B: The degree is 2 because it's classified as a quadratic and trinomial expression
Part C: The closure property of polynomials is that polynomials will be closed under an operation if the operation produces another polynomial. For example, since we had to multiply two binomials in Part A, the exponents of x get combined to make x^2 (because x^1*x^1=x^(1+1)=x^2)
The left hand side of the equation is a difference of two squares and may be factored out as follows,
(x - 4)(x + 4) > 0
They may be individually taken as,
x - 4 > 0 ; x > 4
x + 4 > 0 ; x < -4
Thus, the answer to this item is letter A.
