The answer is D, dilation by a scale factor of 2 followed by reflection about the y- axis.
Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
Answer:
a) The floor of the room, each edge and the top of the table.
b) The edge of one side and one leg of the table.
c) The angle formed between the sides of the table and the angle between the legs of the table and its edges.
d) The vertices of the top of the table.
e) These are same lines.
Step-by-step explanation:
An angle is the amplitude between the two lines. Plane is an object which consists of two dimensions and infinite points. The segment is a fragmented line. A ray is a line which a starting point and a direction.
Answer:
Part c) 
Part d)
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to

where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>


substitute


Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to

we have

substitute

-----> exact value
<em>Find the approximate value</em>
assume


Answer:
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because

Step-by-step explanation:
we know that
The inscribed angle is half that of the arc comprising
Remember that
The diameter divide the circle into two equal parts
so
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees
The inscribed angle is 90 degrees because

therefore
An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because
