Answer:
Step-by-step explanation:
When we divide congruent sides of similar solids or plane figures we get the linear scale factor.
The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.
In this question, the linear scale factor will be 6/5
since we are asked to find the volume we cube the linear scale factor.
(6/5)³=216/125
to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown
(216/125)×300in³= 518.4in³
Answer:
-19
Step-by-step explanation:
The value of each measure based on the incenter is illustrated below.
<h3>What is incenter?</h3>
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
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Well 1 is a perfect square and it only has 1 factor.
16 is a perfect square and its' factors are 1, 2, 4, 8, and 16