Answer:
radius = 5 units
area of a circle = 15.7units²
Step-by-step explanation:
given that the circumference of a circle = 31.4
radius = ?
recall that the formulae for finding the circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
31. 4 = 6.28r
divide both sides by the coefficient of r which is 6.28
31.4/6.28 = 6.28r/6.28
5 = r
radius = 5 units
therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units
to find the area of the circle
recall the formula = πr²
area of a circle = 3.14 x 5²
area of a circle = 3.14 x 25
area of a circle = 15.7units²
The number of angles that are alternate exterior with angle 5 is one, which is angle 11.
<h3>What are
Alternate Exterior Angles?</h3>
Alternate exterior angles are formed on the outside of the two parallel lines that are intersected by a transversal, each being located on the opposite side of the transversal.
The alternate exterior angle pairs are two angles that are supplementary. This means they add up to give a sum of 180 degrees.
Considering transversal s and parallel lines t and u, the angle that is an alternate angle to angle 5 is angle 11.
Angle 11 is the only angle that is alternate exterior angles with angle 5. therefore, we can conclude that, the number of angles that are alternate exterior with angle 5 is just 1, which is angle 11.
Learn more about the alternate exterior angles on:
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Answer:
12
b
−
2
c
3
−
2
Step-by-step explanation:
Answer:
The number of rainfalls required to be included in the sample is 97.
Step-by-step explanation:
The information provided is:
Error = E = 0.1
Standard deviation = σ = 0.5
1 - α = 0.95
α = 0.05
The error formula is:
Compute the critical value as follows:
*Use the <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
Thus, the number of rainfalls required to be included in the sample is 97.