In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians.
2 answers:
Answer:
Arc length = 32.97 m .
Step-by-step explanation:
Given : In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians and use 3.14 for π .
To find : What is the arc length.
Solution : We have given a circle of radius = 6 m
Central angle = 7π/4
Formula of arc length = radius × central angle .
Arc length = 6 × ().
Arc length = 32.97 m .
Therefore, Arc length = 32.97 m .
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Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
solving for y to writing the equation in the slope-intercept form and determining the slope
Add -x to both sides.
Divide both sides by -2
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
in the form of Equivalent Fraction can be written as
, where "x" is any integer.
As per the question statement, we are provided with a fraction, .
We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.
To solve this question, we need to know what an equivalent fraction is.
Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.
For example, all equate to
when simplified.
Now, for this case, equivalent fractions of are
, where
i.e., the equivalent fractions of are in the form of
, where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)
- Fractions: In mathematics, a fraction is a numerical entity that is not a whole number.
To learn more about fractions, click on the link below.
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