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just olya [345]
3 years ago
14

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th po

wer miles. how far from the Earth (in miles right is the star?​
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?

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Energy and mass are related by the formula E = mc^2
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Answer:

  m = E/c^2

Step-by-step explanation:

To solve the given equation for m, divide by its coefficient.

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Tangent segments from a common external point are
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Answer:

  • <em>Tangent segments from a common external point are</em> <u>congruent</u>

Explanation:

A <em>tangent</em> line to a circle is a line that touches the circle in only one point of the cirfumference, and, hence, the tangent is perpendicular to (forms a right angle with) the radius of the circle.

There are many thorems relative fo the tangent lines of a cirle.

One of those theorems states that if two tangent lines to a circle are drawn from a same external point, the two segments formed from the coomon external point to the tangency points have the same length.

Also, you must know that, from the definition, two segments of the same length are known as congruent segments.

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7 0
3 years ago
Emily purchased lemons for $600. She sold 3/4 of these at a loss of 20% and the remaining at a gain of 20%. How much percent doe
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Answer:

10%

Step-by-step explanation:

Given: CP of lemon is $600.

           3/4 of lemon sold at 20% loss

           Remaining lemon at 20% gain.

Considering the quantity of lemon remain constant.

Cost price of 3/4 of lemon= \frac{3}{4} \times 600= \$450

As given, 3/4 of lemon sold at 20% loss.

∴ Selling price of \frac{3}{4}\ of\ lemon=  450- \frac{20}{100}\times 450

Selling price= 450- 90= \$ 360

Hence, selling price of 3/4 lemon is $360.

Now, the cost price of remaining lemon (1-\frac{3}{4} )= (\$ 600-\$ 450)

∴ The cost price of \frac{1}{4}\ lemon = \$ 150

As given, remaining \frac{1}{4} lemon\ sold\ at\ gain\ of\ 20\%

∴ Selling price of \frac{1}{4} \ lemon= (150\times \frac{20}{100}+150)

Selling price of \frac{1}{4} \ of\ lemon= (30+150)

Hence, selling price of 1/4 lemon is $180

Loss\profit percent= \frac{(SP-CP)}{CP} \times 100

∴ Loss\profit percent= \frac{60}{600} \times 100= 10\%

Hence, the loss percentage is 10%

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