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ahrayia [7]
3 years ago
10

Solve and plot your answer on the number line below: 7.08 + 2x=15.96

Mathematics
1 answer:
NemiM [27]3 years ago
6 0
7.08 + 2x =15.96
-7.08. -7.08
-------------------------
2x=8.88 divide each by 2

X=4.44
You would plot it in between 4 and 5 but on one of the line marks depending on what there value are
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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
What is the factored form of x2 - 10x + 24
umka2103 [35]

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What 2 numbers multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

4 0
3 years ago
6x equals 7-4y solve for y
alisha [4.7K]
6x=7-4y
Move 'y' to one side
6x-7=-4y

6x-7
------- = y
-4
5 0
2 years ago
Read 2 more answers
Equivalent fractions to 1/3
pochemuha
= 2/6 = 3/9 = 12/36 = 24/72 
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3 years ago
2 Which expression is equivalent to (29) ? 13 g12 qog​
sattari [20]
I’m pretty sure that it’s the third answer (q^12)! :)
5 0
2 years ago
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