Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coef

Total time taken = 9.0252 *10^12 s. Step-by-step explanation: Data provided: - Distance from Earth to Alpha Centauri: 4.3 light years. - Distance from Earth to Sirius: 8.6 light years. - Probe speed: V = 18.03 km/s. - 1 AU equals 1.58125 x 10^-5 light-years. Objective: Determine the total time the probe has been in motion from leaving Earth to reaching Sirius. Solution: - Journey is tracked for each destination sequentially:                      Earth ------> Alpha Centauri: d_1 = 4.3 light years                      Alpha Centauri ------> Earth: d_2 =4.3 light years                      Earth ------> Sirius: d_3 = 8.6 light years                      Sum of distances = D = 17.2 light years. - Now, we convert the total distance into kilometers (SI units):                             1 AU  ----------> 1.58125 x 10^-5 light-years                             x AU  ----------> 17.2 light years. - By proportions:                              x = 17.2 / (1.58125 x 10^-5) = 1087747.036 AU. Also,                             1 AU  ---------------------> 149597870700 m                              1087747.036 AU  ----> D m. - Using proportions:                              D =  1087747.036*149597870700  = 1.62725*10^17 m. - Finally, applying the speed-distance-time formula:                               Time = Distance traveled (D) / V                               Time = 1.62725*10^17 / (18.03*10^3). Final answer: Time = 9.0252 *10^12 s.

Answer:

4:5

Step-by-step explanation:

Start with the equation:

2(3/4m)=D+1/4m

Then, simplify to solve:

5/4m=D

<span>Which formula can be applied to find the side length of the rhombus?

 The correct answer is the first choice: 10/Cos(30°)

 Explanation:

 1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:

 Cos(</span>α)=Adjacent side/Hypotenuse
<span>
 </span>α=30°
<span> Adjacent side=(20 in)/2=10 in
 Hypotenuse=x

 2. Inputting these numbers into the equation yields:
</span>
 Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x

 3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:

 x=10/Cos(30°)
</span>

Response:

−

0.9

 by

−

2.4

Detailed explanation:

the result is 2.16