Hi! This paper is from Singapore right?
6. (a) the inequality is 45x<y (i think) which is x< (y/45)
(b) If John has 1200 dollars which is y,
x= (1200÷45) = 26.667 ~ round down to nearest number (maximum) is 26.
so the maximum tickets is 26.
Answer:
Below.
Step-by-step explanation:
a. Volume = area of triangular side * length
1/2 * 3 * 4 * 8
= 48 cm^3.
Surface area = 2 * area of the triangle + area of sloping side+ area of the base + area of the back side
= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8
= 12 + 40 + 24 + 32
= 108 cm^2.
b. Volume = area of the triangular side * length
= 1/2 * 5.0 * 5..0 * 8.2
= 12.5 * 8.2
= 102.5. cm^3.
Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee
= 2 * 1/2 * 5^2 + 2 * 5 * 8.2 + 8.2 * 7.1
= 25 + 82 + 58.22
= 165.22 cm^2.
Answer:
2916π in^2
Step-by-step explanation:
Step one:
given data
initial table diamter= 96in
we are told that the extension is 6 in over the edge
the new diameter is = 96+6+6= 108in
the radius is = 108/2=54in
we added 6 twice because it will be on the two sides of the diameter
Step two:
the expression for the area is
Area= πr^2
Area= π*54^2
Area= 2916π in^2
To do this set each of the factors to 0:
2x - 1 = 0
2x = 1
x = 1/2
x - 5 = 0
x = 5
Hope this helps!