Answer: 241
Step-by-step explanation:
This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.
1 3 11 35 99 <u>241</u>
2 8 24 64 142
6 16 40 78
10 24 38
14 14
In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!
Answer:
160,160
Step-by-step explanation:
let the first page be X
second one be x+1
x+x+1=321
2x=320
x= 320÷2=160
pages 160 161
Answer:
77 cubic inches
Step-by-step explanation:
Here is the complete question.
A solid metal prism has a rectangle base with sides of 4 inches and 6 inches and a height of 4 inches . A hole in the shape of a cylinder with a radius of 1 inch is drilled trough the entire length of the rectangular prism. What is the approximate volume of the remaining solid in cubic inches.
Solution
The volume of the solid prism is given by V = Area of base × height = lbh = 4 × 6 × 4 = 96 cubic inches.
The volume of the cylindrical hole is given by πr²h
r = 1 inch and h = 6 inches. So V = πr²h = π × 1² × 6 = 18.85 cubic inches.
The volume of the remaining solid = volume of solid prism - volume of cylindrical hole = (96 - 18.85) cubic inches = 77.15 cubic inches ≅ 77 cubic inches
Answer:
A. 3 and a half hours (3 hours 30 minutes)
B. 72 dollars
Step-by-step explanation:
A. first do 512-92 = 420
420/120 = 3.5 hours
B. 2 hours = 240 dollars
312 - 240 = 72 dollars for the parts
Answer:
27 square units
Step-by-step explanation:
Area of triangle = 1/2(b)(h)
Base = 6
Height = 9
1/2(6)(9)
1/2(54)
Area = 27 units
