Answer:
144 pyramids
Step-by-step explanation:
The volume of a pyramid = 1/3*base area * height
Given: Base area = 3 sq.inches
Height = 4 inches
Volume of each pyramid = 1/3*3*4
= 4 cube inches.
To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.
= 576/4
= 144
Therefore, the artist can make 144 pyramids.
Thank you.
Answer:
An instructor at an army base wants to know if a new program that teaches gun safety is effective is described below in brief details.
Step-by-step explanation:
Although of your shooting practice, the handgun safety program illustrates the center fundamentals of handgun protection so that you can tour the range with courage and with safety in the brain. Study how to accurately control, transport, and deposit your handgun, as well as how to keep children secure around handguns.
If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.
Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
Answer:
Color, favorite pet, genre of music
Step-by-step explanation:
Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.
