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Ghella [55]
3 years ago
15

How does tripling the circumference of the circle affect the diameter of the circle?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0
The Diameter is also tripled.

Given the area of a circle calculate the radius and circumference
<span>r = √(A / π)<span>C = 2πr
</span></span>
Proof: C= 3in r = 0.477464 d=2r=0.9549296
           C= 9in r= 1.432394 d= 2.864788 = 3x
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8 and 9 12 and 6

Step-by-step explanation:

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What is 3 X 3/4 ? please help me
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For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid
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The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

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Using the Pythagoras rule
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Sum of 5 times of x and thrice of y is 106​
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Answer:

<h3>sum of 5 times of x and thrice of y is 106</h3>

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Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
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