Answer:
Step-by-step explanation:
Note that there are two scale models with each of ratio of 1/2 and 1/16 respectively.
For the first model, the dimension will be as follows:
Length/2 by width/2
94/2 by 50/2 = 47 feet by 25 feet.
For the second model, the dimension will be as follows:
Length/16 by width/16
The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.
Since we are to solve for the area of the smallest scale model which is
5.875 feet by 3.125 feet.
Hence, area (A) = L× W
=5.875 × 3.125 feet.
= 18.359ft^2
Answer:

Step-by-step explanation:
The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

where:
is the area of the base, where
L is the length of the base
is the area of each triangular face, where
h is the height of the face
Substituting,

For the model in this problem,
L = 12
h = 8
Therefore, the surface area here is:

Since we are looking for the principal amount, then all we have to do is reverse the process of getting the amount of tax. In order to get the principal, you just have to divide 22 with 0.05. The answer is 440 so that is the principal amount you are looking for.
Answer:
H
Step-by-step explanation:
well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7
5/3 = c/7
answer is H
Answer:
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and
respectively.
Step-by-step explanation:
Given that,
For the first 9 holes X:
E(X) = 80
SD(X)=13
For the second 9 holes Y:
E(Y) = 80
SD(Y)=13
For the sum W=X+Y, the following properties holds for means , variance and standard deviation :
E(W)=E(X)+E(Y)
and
V(W)=V(X)+V(Y)
⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

∴E(W)=E(X)+E(Y) = 80 +80=160
and
∴



Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and
respectively.