Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.
Answer:
Obtuse Scalene
Step-by-step explanation:
Given
Sides of triangle: 6in, 5in and 8in
Required
Classify the triangle by angles and sides
Given that none of the three sides of the triangle are equal; we can conclude that the triangle is a scalene triangle.
The next is to determine what type of scalene triangle it is.... Obtuse or Right angled?
For the triangle to be a right scalene; then one of its angles must be 90 degrees
And for one of its angles to be 90 degrees, the three sides must obey Pythagoras theorem where;
<em>the square of the biggest side must be equal to the sum of the square of the other two sides</em>
In other words;
Since, the above condition doesn't apply to the sides of the triangle, then it's safe to conclude that the triangle is an obtuse scalene
Answer:
Critical value z = 2.574
Confidence interval = ( $71.596 to $93.264)
Step-by-step explanation:
Mean x = $82.43
Standard deviation r = $13.96
Number of sample n = 11
Confidence interval of 99%
Critical value = z = t(a/2)
a = 1 - 0.99 = 0.01
a/2 = 0.01/2 = 0.005
z= t(0.005) = 2.57
z = 2.574
Confidence interval = x+/-(z×r/√n)
= 82.43 +/- (2.574 × 13.96/√11)
= 82.43 +/-10.834
Confidence interval = ( 71.596 to 93.264)
Answer:
C) 30
Step-by-step explanation:
No because a 2 digit divisor always has less digits than a 3 digit divisor