The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
2 answers:
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
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Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' = of the sides of ΔABC
Area of ΔA'B'C' =
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Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
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Therefore, Option (3) and Option (6) are the correct options.
Answer:
The mean is 4.5 and the standard deviation is 1.44.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:
The standard deviation of the uniform probability distribution is:
Uniformly distributed random variable ranging from 2 to 7.
This means that .
So
The mean is 4.5 and the standard deviation is 1.44.