Answer:
60 degrees
Step-by-step explanation:
We are given the measures of WY and XY. Using them, we can find out 2WY=XY.
In 30-60-90 right triangle, the hypotenuse is 2 times the shortest leg. This means that this triangle is a 30-60-90 triangle. Angle Y is the angle made by the shorter leg and the hypotenuse therefore it is 60 degrees.
For easy calculation first transpose the equation into the y-intercept form then create your table and plot the graph.
If 2x - 6y = 12
then -6y = 12 - 2x
6y = 2x - 12
y = [2 (x - 6)] /6
⇒
y = (x - 6) / 3
The table and graph are attached below.
For light: Inverse Square Law
<span>
The signal is weaken by the inverse square of the
difference of distances this means that one over the square of the
difference. </span>
<span>
</span>
Therefore, 70000LY / 141 LY =496.45 and that
squared =246462.602 times less signal, or 1/246462.602.
2 For a circular telescope like the
Arecibo radio telescope that equals Pi times the radius squared. Sensitivity
of the telescope depends on its area.<span>
The new telescope needs 246462.60 times that area to have
enough sensitivity </span>
<span>
<span>(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope
and that times 246462.60
= 1.74212 x 10^10</span></span>
<span><span>
</span></span>
What is the diameter of a circle with that area?
<span>
<span>1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293</span></span>
3. Multiply by 2 to find the diameter =
<span>148971.886</span>
It equals 96. hope that helped
Answer:
<h2>
The right option is twelve-fifths</h2>
Step-by-step explanation:
Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
The right option is therefore twelve-fifths
