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IgorLugansk [536]
3 years ago
7

Which rectangular equation is equivalent to the polar equation r csc theta=8?

Mathematics
1 answer:
Drupady [299]3 years ago
3 0
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:

r sin theta = y
r cos theta = x
x2 + y2 = r2

we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.

in this case, csc theta is equal to 1/ sin theta. thys
 r / sin theta = 8

in order to make use of the equations above, then

we multiply r to both numerator and denominator in the left side, that is 
r^2 / r sin theta = 8 
x2+y2 / y = 8
x  2 + y2 = 8y
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-25 = -4r + 5 please help
Andrej [43]
-25=-4r+5
Subtract 5 to each side
-25-5=-4r+5-5
-30=-4r
Divided -4 to each side
-30/-4=-4r/-4
7.5=r
Check:
-25=-4r+5
Substitute r with 7.5
-25=-4(7.5)+5
-25=-30+5
-25=-25. As a result, r=7.5. Hope it help!
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Step-by-step explanation:

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A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
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Answer:

The angle between [A_F] and the base of the cone = 68.2°

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Step-by-step explanation:

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The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

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The number 0.59136363636363636... is an irrational numbers

<h3>How to determine the number type?</h3>

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Hence, the number 0.59136363636363636... is an irrational numbers

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brainly.com/question/11919233

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