Answer:
400cm^2
Step-by-step explanation:
For this question, you need to find the surface areas of both objects, then add them together.
For the cube:
56cm for the front
56cm for the back
42cm for the side
42cm for the other side
48cm for the top
48cm for the bottom
SA for the cube: 292cm^2
For the triangle, things are a little different. We do the same process that we did to find the SA of the cube, but we do not have to find the SA of the top side (because there isn't a top side) and we have to divide the total SA by 2 because it's a triangle.
For the triangle:
42cm for the front
42cm for the back
54cm for the slanted side
42cm for the other side
36cm for the bottom
SA for the triangle: (216/2)^2=108cm^2
292+108=400cm^2
the SA of the composite figure is 400cm^2
Answer:
Option 2
Step-by-step explanation:
I say option to because it is 990
B. its 1/2 of the original volume, because the pyramid is doubled the height and, the length and width are cut in half. It would equal 1/2 the volume of the original pyramid.
Answer: 1.303639
Step-by-step explanation:
The t-score for a level of confidence 
is given by :_
, where df is the degree of freedom and 
is the significance level.
Given : Level of significance : 
Then , significance level : 
Sample size : 
Then , the degree of freedom for t-distribution: 
Using the normal t-distribution table, we have
Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
