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Answer:
m = p/(n - 2)
Step-by-step explanation:
mn- p=2m ⇌ mn - 2m = p ⇌ m(n - 2) = p ⇌ m = p/(n - 2)
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If a1 is the first term of an arithmetic sequence and d is the common difference, then the formula for finding thenthtermofthesequenceisan =a1+(n−1)d.
Wehavebeengivena1 =5andd=15. We’reaskedtofindn=40.
an =a1 +(n−1)d a40 = 5+(40−1)·15
= 5+39·15 = 590
The 40th term of this sequence is 590.
1.) 504
2.) 44
3.) 200
4.) 84
5.) 108
6.) 288
The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
<h3>
What is a cube?</h3>
- A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
- The cube is one of the five Platonic solids and the only regular hexahedron.
- It has six faces, twelve edges, and eight vertices.
To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
- 18 cubic feet is the volume of the pyramid.
- Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
- We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
- So, the volume of the cube = 3 × 18
- The volume of Cube = 54 ft³
Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
Know more about a cube here:
brainly.com/question/1972490
#SPJ4
The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Answer:
1. 4/9
2. 80,100,6.5
3. 10 and 11
4. 56cm
5. 3 an4
6. Real, Rational, Integer
7. All whole numbers are natural numbers
8. -1 1/2
9. √72
10. √9
Good luck :)
Step-by-step explanation:
