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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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The radius of circle L is 22 cm.

IrinaK [193]

Diameter = 2*(radius)
The radius is half of the diameter, so if you were given the radius and need to find the diameter, multiply the radius by two. If you were given the diameter and need to find the radius, divide the dimaeter by two

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3 years ago

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Sorry for the little blur but number 18 please! And sorry for the work mess. Start where it says *Start Here*

motikmotik

You are almost done!
well, the euation of a circle centered at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so you havve
(x-3)²+(y+5)²=9 (which is correct)
this can be rewritten as
(x-3)²+(y-(-5))²=3²
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3 years ago

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is $xy=10$

Also, given the sum of the squares of the numbers is 29 that is $x^2+y^2=29$

and the sum of the cubes of the numbers is 133 that is $x^3+y^3=133$

Using, the given identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ ,

Substitute, the given values, we have,

$(x+y)(29-10)=133$

Simplify , we get,

$(x+y)(19)=133$

Divide both side by 19, we have,

$(x+y)=7$

Thus, the sum of two numbers is 7.

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4 years ago

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ololo11 [35]

Answer:

CD = QR because abcd= star then last 2 are answer

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3 years ago

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How do I solve problem 10?

Grace [21]

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

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