It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
Answer:
cylinder volume= 1005.30965cm²
rectangular prism volume= 384cm²
total volume: 1005.30965+384= 1389.31cm²
Part A
The angle of elevation of the staire case is given by
Part B:
<span>If
the landing of each step is changed to 17 inches and the elevation of
each step to 21 inches, the new angle of elevation for the
staircase is given by
</span><span>
</span>
9514 1404 393
Answer:
x = 14°
Step-by-step explanation:
The triangle's interior angle at C is the supplement of the exterior angle marked 124°.
C = 180° -124° = 56°
The exterior angle at B is the sum of the remote interior angles:
6x = 56° +2x
4x = 56° . . . . . . subtract 2x
x = 14° . . . . . . . . divide by 4
Answer:
-4x^2 -3x - 5
Step-by-step explanation:
-4x^2 + 2x - 5(1 + x)
Distribute
-4x^2 + 2x - 5 -5x
Combine like terms
-4x^2 -3x - 5