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Vera_Pavlovna [14]
2 years ago
12

*PLS HELP*I need help on this and please provide an explanation​

Mathematics
2 answers:
expeople1 [14]2 years ago
7 0

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em></h2>

Step-by-step explanation:

<h3><em><u>To</u></em><em><u> </u></em><em><u>Find</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • Value of x

<h3><em><u>Given</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • 46° and (5x - 1)° are complementary angles

<h3><em><u>Solution</u></em><em><u>:</u></em><em><u>-</u></em></h3>

As we know,

Complementary angles:

The angles whose sum results to 90° are known as the <em><u>complementary</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em><em><u> </u></em>

So,

46° + (5x - 1)° = 90°

  • <em>[</em><em>Since</em><em> </em><em>complementary</em><em> </em><em>angles</em><em>]</em>

=> 46 + 5x - 1 = 90

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 45 + 5x = 90

  • <em>[</em><em>On</em><em> </em><em>subtracting</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>45</em><em>]</em>

=> 45 + 5x - 45 = 90 - 45

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 5x = 45

  • <em>[</em><em>On</em><em> </em><em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>5</em><em>]</em>

=  >  \frac{5x}{5}  =  \frac{45}{5}

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> x = 9

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

yan [13]2 years ago
4 0

<u>Answer:</u>

  • The value of x is 9.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • 46 + (5x - 1) = Complementary angles = 90°

<u>Solution:</u>

  • 46 + (5x - 1) = 90°

<em>Removal of brackets:</em>

  • => 46 + 5x - 1 = 90
  • => 45 + 5x = 90

<em>Subtracting 45 from both sides:</em>

  • => -45 + 45 + 5x = 90 - 45

<em>Solving:</em>

  • => 5x = 45
  • => x = 9

Hence, <u>the value of x is 9.</u>

Hoped this helped.

BrainiacUser1357

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Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

<u><em>The complete question in English is</em></u>

You're the commander of a spaceship. Your mission is to reach Alpha Centaur  in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance  from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel  at the speed of light. You know that light can travel a distance of 5.88 x 10^12  miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

9.3*10^7\ miles

The spaceship can travel  at the speed of light

The light can travel a distance of 5.88*10^{12}\ miles in a year

so

using a proportion

\frac{5.88*10^{12}\ miles}{1\ year}=\frac{9.3*10^7\ miles}{x}\\\\x=(9.3*10^7)/5.88*10^{12}\\\\x=1.58*10^{-5} \ years

This time is very small in years

Convert to minutes

1.58*10^{-5} \ years=1.58*10^{-5} (365)(24)(60)=8.3\ min

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

2.5*10^{13}\ miles

The spaceship can travel  at the speed of light

The light can travel a distance of 5.88*10^{12}\ miles in a year

so

using a proportion

\frac{5.88*10^{12}\ miles}{1\ year}=\frac{2.5*10^{13}\ miles}{x}\\\\x=(2.5*10^{13})/5.88*10^{12}\\\\x=4.25\ years

4.25\ years< 5\ years

therefore

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