Answer:
Another expression: 9*(4a - 3)
Step-by-step explanation:
Though 36a - 27 is the simplest form we can factor it
36a - 27 = 9* (4a - 3)
Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
<h3>What is the triangle about?</h3>
From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.
Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 x XY
CB = 2 x YZ
For part B:
cosX=Base/Hypotenuse
cos A=AC/AB
AC = 2.05
AB = 5.59
Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
Learn more about triangles from
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Answer:

Step-by-step explanation:
* Look to the attached file
Dr /dt = 7
A = pi r^2
dA / dr = 2pir
dA/dt = dA/dr * dr/dt = 2pir * 7 = 14pir
when r = 12 rate of change of the area = 14*pi*12 = 168pi
= 527.79 cm^2 / minute to nearest hundredth
Shaded area = Circle area - Rectangle area
Shaded area = 3.14 × (4)^2 - 5 × 6
Shaded area = 3.14 × 16 - 30
Shaded area = 50.24 - 30
Shaded area = 20.24
Shaded area = 20.2