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docker41 [41]
3 years ago
8

1) 448

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

What do I have to do?? I don't understand

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Problem solving with intergers
larisa [96]
12. the change in temperature is -1 C. -3 C + -1 C= -4 C

13. The net gain. Lin gained 14 yards, then loss 7 yards, and lastly gained 9 yards

14 + (-7) + 9= 16 yards

14. Pythagoras was born 582 BC. Newton 1643 AD

1643-582= 1,061 years

15. Sonny has $75 but he needs to buy something costs $93

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3 years ago
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A fan is marked up 40% on the original price. The original price was $20. What is the new price of the fan before sales tax?
Andre45 [30]

Answer:

  $28

Step-by-step explanation:

The markup was 0.40×$20 = $8, so the new price is ...

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7 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
What is 12/24 - 10/23
Elodia [21]
The LCD of 24 and 23 is 552, so 276/552 - 240/552 = 36. After simplifying 36/552, you get 3/46 and that is your answer.
4 0
2 years ago
How to write four hundred twelve thousand, nine hundred eighty seven
Art [367]
The answer is 412,987

I hope this helps :)
8 0
3 years ago
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