Answer:
112°
Step-by-step explanation:
Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.
One of the properties of an Isosceles Trapezoid is that the base angles are equal.
Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.
Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then


Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Answer with Step-by-step explanation:
We have to prove that
by using Euler's formula
Euler's formula :

By using Euler's identity, we get





Comparing imaginary part on both sides
Then, we get

Hence, proved.
The probability that a child with a speaking part is chosen randomly would be 2:5.
E=13,000 and<span>E=1/50R(1650-R)</span>
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</span>
<span />0.02R(1650-R)=13000
<span>(0.02R)(1650)-0.02R²=13000</span>
<span /><span>0.02R²-33R+13000=0</span>
<span>R2-1650R+650000=0</span>
<span>SOLVE W QUAD FORMULA
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