Answer:
C. (3x)^2 - (2)^2
Step-by-step explanation:
Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...
(3x)^2 - (2)^2
highlights the squares being differenced.
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We know the factoring of the difference of squares is ...
a^2 -b^2 = (a -b)(a +b)
so the above-suggested rewrite is useful for identifying 'a' and 'b'.
Exact Surface Area = 378pi
Approximate Surface Area = 1186.92
The approximate surface area uses pi = 3.14
The units are cm^2 or "square cm".
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Work Shown:
SA = surface area of cylinder
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*7^2 + 2*pi*7*20
SA = 2*pi*49 + 2*pi*140
SA = 2*49*pi + 2*140*pi
SA = 98pi + 280pi
SA = 378pi ..... exact surface area
SA = 378*3.14
SA = 1186.92 ..... approximate surface area
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Side note: The diameter 14 cuts in half to get the radius r = 7
The correct answer is B
Hope this helped :)
Answer:
See below.
Step-by-step explanation:
1.
(a) < PMR
(b) < QMR
(c) < QMN
(d) < RMN
2. m < C = 4x - 6
= 4(25) - 6
= 100 - 6
= 94 so < C is obtuse.
3. 8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11.
4.
(a). < DBA and < DBC are right angles (90 degrees) because BD is perpendicular to AC.
(b) < DBA and < DBC are adjacent and they share the ray BD.
(c) < DBe and < ABE are complementary.
(d) < DBA and < DBC are supplementary
(e) 90 - 40 = 50 degrees
(f) 180 - 40 = 140 degrees.
(g) As the angles are complementary
3x + 2 + 4x + 4 = 90
7x = 90 - 2 - 4
7x = 84
x = 12.
Option B: 1.6 s.
Although the equation is not included, you can obtain it by physical considerations
H(t) = -16.t^2 + 52t + 16
The maximum point is at the vertex and the vertex is in the middle of the roots.
The roots are when H(t) = 0,
So you have to solve 0 =-16t^2 + 52t + 16
Use the quadratic formula and you will find t = 3.53 and t =-0.28
Then the vertex is at the middle point = (3.53 -.028)/2 =1.63 s and the answer is option B: 1.6 s.
