Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to

where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B

we have


substitute

step 2
Find the volume
we have


substitute


Hello from MrBillDoesMath!
Answer:
See below
Discussion:
Triangles BAD and BCD are congruent by the SAS postulate.
* Side AD = DC because BD is the perpendicular bisector of AC.
* Angle ADB and CDB are both right angles, and hence equal, because
BD is the perpendicular bisector of AC)
Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.
Regards,
MrB
Answer:
a) 0.1535
b) 0.4866
c) 0.8111
Step-by-step explanation:
The probability that the next call come within the next t minutes is:
According to this model,
a) the probability that a call in comes within 1/2 minutes is
=0.1535
b) the probability that a call in comes within 2 minutes is
=0.4866
c) the probability that a call in comes within 5 minutes is
=0.8111
Answer:
41 21/25
Step-by-step explanation:
38 1/25 + 3 4/5 = 41 21/25