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Korvikt [17]
3 years ago
9

Question 9 (1 point) Evaluate the expression: For k=4 6k3 la 64 b 24. 384​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0
I have to go back and check the book
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PLEASE HELP, THANK YOU! :)
elena-s [515]

Steps to solve:

-4z + 4 + 12z = 3z + 4 + 5z

~Combine like terms

8z + 4 = 8z + 4

~Subtract 4 to both sides

8z = 8z

~Divide 8 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

This is an identity since every value can be a solution to the equation.

Best of Luck!

8 0
3 years ago
The area of a circle is 100 Pi inches squared what is the circumference in inches
ololo11 [35]
100 x 3.14 = 3140 inches
6 0
3 years ago
Which expressions represents twelve diminished by six times a number:. 12-6n; 6n-12; 12n-6
Ede4ka [16]
12-6n
.......................
4 0
3 years ago
Read 2 more answers
Hi, can someone please answer this question? Thanks!!!
cricket20 [7]

Answer:

sorry im not so sure abut the answer

Step-by-step explanation:

.....

8 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
3 years ago
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