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Orlov [11]
3 years ago
12

PLEASE LET ME KNOW (The answer ; explain if u want to)

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

It takes 500 seconds for sunlight to reach Earth.

The mass of the sun is 18.98 * 10^28.

Step-by-step explanation:

Step 1) In order to solve problem number one, you would need to divide. Remember, in math in order to get from the smaller unit to the bigger unit, you divide.

Step 2) In this case, the smaller unit is the distance from the sun to earth. The bigger unit in the other hand, is the speed of light.

Step 3) 1.5 * 10^11/300,000,000 = 500

Answer: It takes 500 seconds for sunlight to reach Earth.

—

Step 1) In order to solve problem number 2, convert 26,000,000 in scientific notation which is 2.6 * 10^7.

Step 2) Now, multiply the mass of the sun by the mass of the moon.

(7.3*10^22) * (2.6 * 10^7)

Step 3) Note: whenver you multiply with exponents, you must always add them, the base remains the same.

10^22 + 10^7 = 10^29

7.3 * 2.6 = 18.98

Answer: To conclude, the mass of the sun is 18.98 * 10^28.

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Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)

$P(x,y)=(19, 10)

The coordinate of point that partitions the segment AB is (19, 10).

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