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Verdich [7]
3 years ago
7

(a) It takes the Earth 365 days to complete a full orbit around the sun. It takes Jupiter approximately 4,332 days, 14 h, and 9

min to complete a full orbit around the sun. How many years does it take Jupiter to complete a full orbit around the sun?
Mathematics
1 answer:
kogti [31]3 years ago
5 0

1 year = 365 days.

1 day = 24 hours.

1 hour = 60 minutes.

First convert the hours and minutes in Jupiter orbit to days:

14*60 = 840 +9 = 849 minutes.

849 / 60 = 14.15 hours.

14.15 / 24 = 0.59 days.

Jupiter's orbit is 4332.59 days.

Now divide that by 365 for the number of years:

4332.59 / 365 = 11.87 years.

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A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th
Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

nPr = \frac{n!}{(n - r)!}

Substitute 5 for n and 4 for r

5P4 = \frac{5!}{(5 - 4)!}

5P4 = \frac{5!}{1!}

5P4 = \frac{5*4*3*2*1}{1}

5P4 = \frac{120}{1}

5P4 = 120

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0
4 years ago
which number is a prime factor of 210 A.2 to the 6th power B.6 to the 2nd power or 6 squared C.12 to the 6th power.Exponents and
Elden [556K]
210=2*3*5*7
none of them

if you meant 2¹⁰ then the answer is A because 2¹⁰=2*2*2*2*2*2*2*2*2*2=(2⁶)(2⁴)


A
8 0
4 years ago
Javier monthly net income is $1,500. He requests that his bank deposit 1/5 of his monthly earnings into his savings account. how
Harman [31]
1500 * 1/5
1500 * 0.2 = 300
300 * 12 = 3600
Javier contributes $3,600 a year to his savings.
5 0
3 years ago
Pleas help I’m so lost
Svetradugi [14.3K]
Its the middle two. Hope I helped
5 0
3 years ago
Please Answer!!!!
ExtremeBDS [4]

First mug holds the most

<em><u>Solution:</u></em>

Given that,

You are choosing between two mugs

<em><u>The volume of cylinder is given as:</u></em>

V = \pi r^2h

Where,

r is the radius and h is the height

<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>

radius = \frac{diameter}{2}

Therefore,

r = \frac{5.5}{2}\\\\r = 2.75

Also, h = 3 inches

<em><u>Thus volume of cylinder is given as:</u></em>

V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24

Thus first mug holds 71.24 cubic inches

<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>

Radius = \frac{4.5}{2}\\\\r = 2.25

h = 4 inches

Therefore,

V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585

Thus the second mug holds 63.585 cubic inches

On comparing, volume of both mugs,

Volume of first mug > volume of second mug

First mug holds the most

8 0
4 years ago
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