I found this!!!!
The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=
hypotenuse
adjacent
and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).
Step-by-step explanation:
You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.
Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
This is:
cos\alpha=\frac{adjacent}{hypotenuse}cosα=
hypotenuse
adjacent
In this case:
\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}
α=x\°
adjacent=BC=y
hypotenuse=AC
Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=
hypotenuse
adjacent
, and solve for the distance between the Sun and the shooting star "AC":
cos(x\°)=\frac{y}{AC}cos(x\°)=
AC
y
AC=\frac{y}{cos(x\°)}AC=
cos(x\°)
y
Answer:
See each answer bolded below
Step-by-step explanation:
1. Area of the rectangle is 20 * 30 = 600
Area of the 6 circles is 6(25pi)
150pi/600 = 0.7854
1 - 0.7854 = 0.2146
convert to percentage 21.46%
2. 6/16 -> 3/8
Roughly 38% (37.5)
3. 10/24 = 0.41666666667 or 0.4167
41.66
roughly 42%
4. 12/36 -> 1/3
33.3333
33%
We are given:
number of kilometers = 875.52 km
time = 38.4 hours
We need to calculate the unit rate, which means that we need to find the number of kilometers in one hour.
To do so, we will simply divide the total number of kilometers by the total time as follows:
unit rate = 875.52 / 38.4 = 22.8 km/hour
Ok sure and one more thing are you smart at geometry like 100% smart
Well a triangle equals 180 degrees so if you already have 90 then you would need the other 90. By looking at the triangle I would say y=45. I hope I helped! :)
