<span>An angle whose vertex is the centre of a circle and whose
sides pass through a pair of points on the circle is called a
</span>
central angle. The following symbol, pronounced “theta”, is
<span>
used to represent a central angle: .
</span>
Each central angle forms an arc length between the points
<span>
that it passes through on the circle.
The arc length of a circle can be found by first calculating
what fraction of the circle is represented by the central angle.
Then you find the circumference of the circle. Finally, you find
the fraction of that circumference.
For example, if a circle has a radius of 10.0 cm and a central
angle of 60°, to calculate the arc length for that angle we must
first determine what fraction of the circle is represented by the
central angle 60°. Since there are 360° in a full circle, we can
find the fraction of a circle by simplifying ; The
sector represents of the circle.
To find the arc length, we now need to find the circumference
</span>
of the circle. Circumference of a circle is equal to 2 r.
C 5 2 r
5 2 10.0
<span>
62.8 cm
The circumference of this circle is about 62.8 cm. To find the
arc length, we need to find of 62.8 cm.
62.8 10.5 cm
The arc length formed by this central angle is about 10.5 cm.
</span><span>
</span>
Triangles are 180 degrees total so 80+40=120, subtract that from 180 and you’ll get B=60
Answer:
The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12 pounds
Standard Deviation, σ = 3.5 pounds
We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.99
Calculation the value from standard normal z table, we have,
Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
Answer:
no solution
Step-by-step explanation:
simplifying
6(y + -5) = 2(10 + 3y)
reorder the terms:
6(-5 + y) = 2(10 + 3y)
(-5 * 6 + y * 6) = 2(10 + 3y)
(-30 + 6y) = 2(10 + 3y)
-30 + 6y = (10 * 2 + 3y * 2)
-30 + 6y = (20 + 6y)
add '-6y' to each side of the equation.
-30 + 6y + -6y = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 + 0 = 20 + 6y + -6y
-30 = 20 + 6y + -6y
combine like terms: 6y + -6y = 0
-30 = 20 + 0
-30 = 20
solving for:
-30 = 20
the left and right sides are not equal, so there isn't any solution!
