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Agata [3.3K]
3 years ago
14

Question 3 (4 points)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)

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According to the table, what was the hiker’s total displacement?
shtirl [24]

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

7 0
3 years ago
ujalakhan01 can you answer these? 1. In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carna
aniked [119]

Answer:

B

42.05x + 50.36

Step-by-step explanation:

1. It is 1.5c - 7 because tje mumber of rose bushes is 7 less that 1.5(c), not 1.5(7). So, it is (b).

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P.S. I am not ujalakhan01:(

7 0
3 years ago
Simplify <br> (-8.5) (-5) (-2).
Ber [7]

Answer:

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Step-by-step explanation:

(-8.5)(-5)(-2)

=(-8.5)(10)

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8 0
3 years ago
17/26 in simplest form
zzz [600]

since 17 is a prime number and 26 is not a multiple of 17

17/26 is in simplest form

8 0
3 years ago
Read 2 more answers
Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later
Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed.  Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050.  Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300.  It would  never be 30,300.

6 0
3 years ago
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