Answer:
4n²+2n as a factorial is given as:
Step-by-step explanation:
We are given an expression which has to be converted into factorial form.
The expression is as follows:
Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.
Hence, multiplying and dividing by '(2n-1)!'; we get:
we know that x(x-1)(x-2)! = x!, so:
Answer:
d.
Step-by-step explanation:
We have been given that Cheng measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
First of all, we will find height of each pyramid by dividing height of whole sculpture by 4 as:
We know that volume of a pyramid is equal to 1/3 of base area times height that is , where b represents area of base.
Since volume of one pyramid is equal to 2 cubic feet, so volume of 4 pyramids will be 4 times 2 cubic feet that is 8 cubic feet.
Therefore, Cheng must purchase 8 cubic feet of material.
The surface area of the triangular prism is of 162 cm².
<h3>What is the surface area of a prism?</h3>
The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
- One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.
- Two right triangles, of sides 6 cm and 4 cm.
For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
More can be learned about surface area at brainly.com/question/26702574
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Answer:
the answer is 50 wh because you suvtracting 55 and 5.
Step-by-step explanation:
55-5 and you will give the answer.