Answer:
total population: 9,000
10% of 9,000= 900 students
they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A
Answer:
$1002
Step-by-step explanation:
The answer could not be submitted;
So, I added it as an attachment
Answer:
The lateral area of the figure = 480 m²
The surface area = 720 m²
Step-by-step explanation:
By definition, we have;
The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid
The surface area is the area of the entire surface = Lateral area + The other surface areas of the object
For a pyramid, the surface area = Lateral area + Area of base
The figure in the question is a pentagon based pyramid with five triangles on the sides
The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height
The lateral area of the figure = 5 × 12 × 8 = 480 m²
The lateral area of the figure = 480 m²
The surface area = Area of the base + Lateral surface area
Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem
Perimeter of the pentagon = 5 × 12 = 60 m
Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m
∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²
∴ The surface area = 240 +480 =720 m²
The surface area = 720 m²
Answer:
<h2>a)
x + y = -2</h2><h2>
b) x - y = -8</h2><h2>
c) 3x - 5y = -30</h2><h2>
d) 5x + 3y = -16</h2>
Step-by-step explanation:
Equation of line with slope m and passing through (x₁,y₁) is given by
y - y₁ = m ( x -x₁)
(x₁,y₁) = (−5,3)
a) Parallel to x = −1
Slope , m = -1
y - y₁ = m ( x -x₁)
y - 3 = -1 ( x -(-5))
y -3 = -x - 5
x + y = -2
b) Perpendicular to x = −1.
Slope of line x Slope of perpendicular line = -1
Slope of line x -1 = -1
Slope , m = 1
y - y₁ = m ( x -x₁)
y - 3 = 1 ( x -(-5))
y -3 = x + 5
x - y = -8
c) Parallel to y = 3 / 5 x + 2
Slope , m = 3/5
3x - 5y = -30
d) Perpendicular to y = 3 / 5 x + 2
Slope of line x Slope of perpendicular line = -1
Slope of line x 3/5 = -1
Slope , m = -5/3
5x + 3y = -16
