Answer:
≈ 397 m
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let h represent the height of the balloon above ground, then
h² + 50² = 400², that is
h² + 2500 = 160000 ( subtract 2500 from both sides )
h² = 157500 ( take the square root of both sides )
h ≈ 397 m ( to the nearest metre )
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:
option B
Step-by-step explanation:
Triangle RST~ TRIANGLE RQP
The number is 69.3 because percent means 0.01, so 10 x 0.01 = 1.1
so 1.1 x 63 = 69.3. you can also do 63 x 10% = 69.3.
Answer:
49.85
Step-by-step explanation:
41 is the mean, so half of the daily requests are above that number, half below, the question is about numbers above the mean, so the lower numbers won't be included in the percentage.
The difference between 59 and 41 is 18. The standard deviation given is 6.
18 ÷ 6 = 3 So that is 3 standard deviations. The empirical rule states that 99.7 of all values are within 3 standard deviations from the mean. But we are looking at only the upper half of those values so 99.7 ÷ 2 = 49.85 %
If the answer asks for approximate, you could round to 49.9 or 50.
And tell the math people to learn the correct spelling of fluorescent!
