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3 years ago

The following diagram shows the path of a planet around the Sun. Kepler discovered that _____.

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

The right answer is:

area B = area C

We can solve this problem by using Kepler's laws of planetary motion. There are three Kepler's laws. In this exercise, we need to use the second law. According to this law, a line segment joining a planet and the sun sweeps out equals areas during equals intervals of time. So, a certain planet sweeps out an area B from the point P3 to P4 in an interval of time t. On the other hand, for the same interval of time t, the planet sweeps out an area C from point P4 to P5, that is equal to the previous area according to second kepler's law.

vesna_86 [32]3 years ago

3 0

Kepler giscovered that area B = area C because they have the same time interval..

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An individual is planning a trip to a baseball game for 16 people. Of the people planning to go to the baseball game, 8 can go o

Sedaia [141]

Answer: There are 4 people who only go to the game on Saturday.

Step-by-step explanation:

Let the number of people go on Saturday be n(A).

Let the number of people go on Sunday be n(B).

Since we have given that

n(A) = 8

n(B) = 12

n(A∪B) = 16

According to rules, we get that

$n(A)+n(B)-n(A\cap B)=n(A\cup B)\\\\8+12-n(A\cap B)=16\\\\20-n(A\cap B)=16\\\\n(A\cap B)=20-16=4$

So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4

Hence, there are 4 people who only go to the game on Saturday.

4 0

3 years ago

Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 + 7x

Vinil7 [7]

Answer:

(12-7x)

Step-by-step explanation:

144 − 49x²

by observation, we can see that 144 = 12² and 49 = 7²

hence we can rewrite the equation

144 − 49x²

= 12² - 7²x²

= 12² - (7x)²

recall that the expression x² - y² = (x+y)(x-y)

hence,

12² - (7x)²

= (12 + 7x)(12-7x)

(12-7x) appears in the expression above, hence 12 -7x is a factor

5 0

3 years ago

Read 2 more answers

×+4×+2=7+5+2× Can u solve that please?????

KiRa [710]

Hey! if this is algebra i recommend getting this app called "Math PAPA" it really helped me out when i was in algebra

7 0

3 years ago

Read 2 more answers

A pound of ground beef costs $5 At this rate, what is the cost of 3 pounds

Nataliya [291]

Answer:

$15

Step-by-step explanation:

if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15

8 0

2 years ago

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You ask a friend to think of a number from 7 to 14. What is the probability that his number will be an even number? Answer as a

8_murik_8 [283]

Answer:

1/2

Step-by-step explanation:

Not sure but

I am assuming we have 8 integers :

All or (A) = {7,8,9,10,11,12,13,14} = n(A) = 8

Hence, the probability of any one outcome is 1/8.

Therefore, as you can detect, there are 4 numbers that are even numbers which means :

Even or (E) = {8, 10, 12, 14} = n(E) = 4

So, let E imply this occurrence

E x A

= 4 x 1/8

= 4/8

= 1/2

3 0

3 years ago