Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
2/3 cup pineapple for every 1/3 cup OJ
there are three 1/3 cups in 1 cup
so multiply 2/3 by 3
2/3 * 3 = 6/3 = 2
2 cups of pineapple juice is needed
Answer:
Step-by-step explanation:
Sinθ = 
If, sinθ = -
and π < θ < 
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = 
tan(210°) = 
csc(210°) = 
sec(210°) = 
cot(210°) = √3
<span>Assuming that the particle is the 3rd
particle, we know that it’s location must be beyond q2; it cannot be between q1
and q2 since both fields point the similar way in the between region (due to
attraction). Choosing an arbitrary value of 1 for L, we get </span>
<span>
k q1 / d^2 = - k q2 / (d-1)^2 </span>
Rearranging to calculate for d:
<span> (d-1)^2/d^2 = -q2/q1 = 0.4 </span><span>
<span> d^2-2d+1 = 0.4d^2 </span>
0.6d^2-2d+1 = 0
d = 2.72075922005613
d = 0.612574113277207 </span>
<span>
We pick the value that is > q2 hence,</span>
d = 2.72075922005613*L
<span>d = 2.72*L</span>
The sum of √30 + √50 lies between 12 and 13.
<h3>What is the sum of the numbers?</h3>
The square root of a number can be described as number that when multiplied with itself yields that number.
√30 = 5.48
√50 = 7.07
5.48 + 7.07 = 12.55
The consecutive integers are 12 and 13
To learn more about how to calculate square root, please check: brainly.com/question/8085738
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