Answer:
Yeah
Step-by-step explanation:
9514 1404 393
Answer:
(c) Yes, because angle 3 and angle 6 are congruent
Step-by-step explanation:
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
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We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
To find the area of the circle, you will use the formula for finding area of any circle.
The radius is half the diameter.
A = pi x r^2
3.14 x 13^2
A = 530.66 square units
The area is 530.66 square units.
Answer:
D
Step-by-step explanation:
We calculate the z-score for each
Mathematically;
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
So the proportion we want to calculate is;
P(-1<x<1)
We use the standard score table for this ;
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%
