Answer:
<u>It should be 128 inches or 10.67 feet tall</u>
Step-by-step explanation:
Real size of the monument = 160 feet tall
Scale used by Tonya = 4 inches equal to 5 feet
Scale model of the monument = Real size of the monument / Scale used
Proportion between real monument and scale model = 160 / 5 = 32
It means that the proportion between the real monument and the scale model is 32
Scale model height = Proportion * scale used
Scale model height = 32 * 4
<u>Scale model height = 128 inches</u>
<u>Scale model height = 128/12 = 10.67 feet (12 inches = 1 feet)</u>
The answer for this problem is 4
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = a
H = 4
-----
formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
-----
answer is:
S = 22*a + 56 (equation 2)
-----
to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
-----
since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
-----
Answer:
The first one is 5m - 4y.
The second one is 3x - 4y.
Step-by-step explanation:
