The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.
Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.
They total 94,500:
x+2x+4x = 94500
7x = 94500
Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
Answer:
lateral area ≈ 668 m²
surface area ≈ 740 m²
Step-by-step explanation:
The lateral area of a triangular prism = perimeter of the base × height of the prism
lateral area = ph
where
p = perimeter of the base
h = height or altitude
Base edges are 8m , 9m and 12.04m and height is 23 m.
lateral area = ph
lateral area = (8 + 9 + 12.04) × 23
lateral area = 29.04 × 23
lateral area = 667.92 m²
lateral area ≈ 668 m²
Surface area
surface area = lateral area + 2B
where
B = area of it triangular bases
surface area = lateral area + 2B
surface area = 667.92 + 2(1/2 × base × height)
surface area = 667.92 + 2(1/2 × 8 × 9)
surface area = 667.92 + 2(1/2 × 72)
surface area = 667.92 + 2(36)
surface area = 667.92 + 72
surface area = 739.92
surface area ≈ 740 m²
I think it’s the first one because if you look at the shape it lines up to make the same shape Srry if this is wrong
radius = 7
the equation of a circle in standard form is
(x-a)² + (y-b)² = r²
where (a, b) are the coordinates of the centre and r is the radius
To obtain this form ' complete the square ' on both the x and y terms
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 39 + 1 + 9
(x+1)² + (y+3)² = 49 ← in standard form
with centre (1, 3) and r = √49 = 7
Answer:
20
Step-by-step explanation:
collect like terms and divide both sides
