Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor =
=
=
=
Therefore, scale factor by which ΔABC is dilated is .
Option (2) will be the correct option.
Answer:
Radius of the circle is <em>15 inches.</em>
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Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
where is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
We know that
Converting to radians:
radians
Putting the values of and
to find the value of
Hence, Radius of the circle is <em>15 inches.</em>
Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
