Answer:
24
Step-by-step explanation:
angle = 38
opposite of angle = 15
hypotenuse = c
sohcahtoa
sin utilizes both opposite and hypotenuse
thus,
sin(38) = 15/c
multiply both sides by c to make it a numerator
csin(38) = 15
divide both sides by sin(38) to get c
c = 15/sin(38) ≈ 24
Answer:
Step-by-step explanation:
In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.
--------1
In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.
As 
, so
---------2
From equation 1 and 2,
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>
Answer:
equation= y-y¹=m(x-x¹)
where m= gradient or slope
slope = <u>y²-y¹</u>
x²-x¹
= -<u>5-7</u>
-2-4
<u>-</u><u>1</u><u>2</u>
-6
= 2
equation= y-7=2(x-4)
y-7=2x-8
y= 2x-8+7
y=2x-1
I think it’s x= 115 degrees hope this helps :)
