Answer:
The answer is B) 72
Step-by-step explanation:
find the bigger arc: 360 - 108 = 252
x = 252 - 108/2
x = 144/2
x = 72
ANSWER
EXPLANATION
A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.
B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.
The third rectangular face has a length of 15 cm and a width of 4 cm.
C) The surface area of the prism is the sum of the areas of the faces of the prism.
The area of a triangle is given as:
where b = base, h = height
The area of a rectangle is given as:
where l = length, w = width
Therefore, the surface area of the prism is:
Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4
Therefore, d = 2(4) = 8 inches.
Answer:
x=4
x=17.9
Step-by-step explanation:
For the first diagram.
cos(45°)=x/4√2
x=4√2cos(45°)
x=4
For the second diagram
tan(38°)=14/x
0.781=14/x
x=14/0.781=17.9
Answer:
Any point N on line r maps to itself.
Step-by-step explanation:
Reflection is one of the examples of solid transformation in which a given point, segment, or figure is flipped over a reference point or line to produce its image. The distance of the object to the reference point or line is the same as the distance of its image to the point or line. And both have the same size, but different orientation.
The option that does not fully define a reflection is; any point N on line r maps to itself, because no image of point N is produced after the operation.
