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Valduarte07
27.02.2020 •
Mathematics
A circle with an arc measure of 160 degrees has an arc length of LaTeX: 20\pi\:cm20 π c m What is the radius of the circle in which the arc sits? Round to the nearest tenth if necessary.
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Ответ:
the radius of the circle is 22.5 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 20π cm
θ = 160 degrees
Therefore,
20π = 160/360 × 2 × π × r
20π = 160/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
20 = 160/360 × 2r
20 × 360 = 160 × 2r = 320r
320r = 7200
r = 7200/320
r = 22.5 cm
Ответ:
Given:
The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.
To find:
The expression that describes the volume of the box.
Solution:
We know that the volume of a rectangular prism is:
Substituting the given values, we get
Using distribution property, we get
Therefore, the volume of the box is
cubic inches.
Note: All the options are incorrect.