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
There's 5280 feet in a mile. 5280x16=84,480 feet an hour. Then divide by 60 to get feet per minute. 84,480/60=1408 feet a minute. This is not one of the answers but this is correct. 528 feet a minute is 6 miles per hour. 5280 feet a minute is 60 miles per hour. The answer would have to be in between.
Answer:
h(x) = 1/4 x
Step-by-step explanation:
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
-9, -3 is the answer to your problem.