4s+7a=861
s+a=168
This can be solved using either elimination or substitution. I am going to use substitution.
Solve s+a=168 for s
s=168-a
Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861
Solve for a
672+3a=861
3a=189
a=63
Substitute 63 for a in s=168-a
s=168-63=105
So, s=105 student tickets and a=63 adult tickets
Isosceles triangle: two equal sides.
We have the following relationship:
root (32) = root (L ^ 2 + L ^ 2)
root (32) = root (2L ^ 2)
root (32) = Lraiz (2)
root (32) / root (2) = L
The surface area is:
Area of the base and top:
A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
A1 = (1/2) * (32/2)
A1 = (1/2) * (16)
A1 = 8
Area of the rectangles of equal sides:
A2 = (root (32) / root (2)) * (6)
A2 = 24
Rectangle area of different side:
A3 = (root (32)) * (6)
A3 = 33.9411255
The area is:
A = 2 * A1 + 2 * A2 + A3
A = 2 * (8) + 2 * (24) + (33.9411255)
A = 97.9411255
Round to the nearest tenth:
A = 97.9 cm
Answer:
The surface area of the triangular prism is:
A = 97.9 cm
Answer:
£231.85
Step-by-step explanation:
→ Work out the decimal multiplier
( 3 + 100 ) ÷ 100 = 1.03
→ Multiply the initial investment by the multiplier raised to the power of years
200 × ( 1.03 )⁵ = £231.85
Answer:
x-int: (2, 0)
y-int: (0,8)
(8-0)/(0-2)= 8/-2= -4
y - 0 = -4(x - 2)
y = -4x + 8
Step-by-step explanation:
You can graph the 4 points.
Notice that sides AB and CD are horizontal, so they are parallel with different lengths.
Sides BC and Ad are not parallel.
A quadrilateral with two parallel sides and two non-parallel sides is a trapezoid.