Answer:
- 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
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:

In this case:

Therefore, the scientist can substitute these measurements into
, and solve for the distance between the Sun and the shooting star "AC":


The discount is $109.50, so the sale price would be $245.50
Dude, you could just use a calculator but the answer is 51.
Answer: <u><em>The first number is 8</em></u>
Step-by-step explanation: Let the three No. s be x, y and z respectively
given = x+ y+ z= 72
y=7x
z=7x-18
∴As we know x+ y+ z=72
i.e. x+7x+7x-18=72
15x=72+18=90
15x=90
x=90/15
∴x=8
∴y=7x
7×8=56
∴z=7x-18
56-18=38
∴<u><em>The first no. is x=8</em></u>
<u><em>The second no. is y=7x = 56</em></u>
<u><em>The third no. is z=7x-18 = 38</em></u>
Answer:
Step-by-step explanation:
x + y = 7 + 2/8 = 58/8
x - y = 2 + 4/8 = 20/8
Add the equations together
2x = 78/8
x = 39/8
y = x - 20/8 = 19/8
x = 39/8 = 4⅞
y = 19/8 = 2⅜