x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
The question is incomplete. Here is the complete question.
As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.
The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?
Answer: 81 feet by 153 feet
Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.
In the refurbishment project, the unit scale is given by
1 inch = 9 feet
So, the dimensions of the new park in actual dimensions would be
1 inch = 9 feet
9 inches = x
x = 9.9
x = 81 feet
1 inch = 9 feet
17 inches = y
y = 17.9
y = 153 feet
The actual dimensions of the new park are 81 feet by 153 feet.
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18
44X 2 is the same thing is that what your asking am a little confused
