Mathematics: If m arc cd = 143°, and m arc ab = 39°, what is m∠ dec ?

If m arc cd = 143°, and m arc ab = 39°, what is - id143394406305, iluvdolantwins

Ответ:

Aysha1311

14.01.2022

Mathematics

$m\angle DEC=91^o$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

$m\angle DEC=\frac{1}{2}[arc\ AB+arc\ DC]$

substitute the given values

$m\angle DEC=\frac{1}{2}[39^o+143^o]$

$m\angle DEC=\frac{1}{2}[182^o]$

$m\angle DEC=91^o$

If m arc cd = 143°, and m arc ab = 39°, what is m∠ dec ?

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Ответ:

badboy502503

30.10.2021

Mathematics

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)
Snowy's snow cones has a special bubble gum snow cone on sale. the cone is a regular snow cone that

Snowy's snow cones has a special bubble gum snow cone on sale. the cone is a regular snow cone that

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If m arc cd = 143°, and m arc ab = 39°, what is m∠ dec ?

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