Answer:
(a) 144
(b) 117
(c) 360
(d) 588
(e) 5472
Step-by-step explanation:
To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.
2.
(a)
(b)
(c)
(d)
(e)
Step-by-step explanation:
STEP 1:
Find a length of third side.
Use the Pythagorean theorem:
STEP 2:
Use the trigonometric functions:
STEP 3:
Use theorem: the sum of the measures of acute angles of the right triangle is 90°.
Example:
We have the length of legs: a = 3, b = 4.
Let c = hypotenuse.
Use the Pyhagorean theorem:
Angle between a and c (β):
Use sine. Therefore b = opposite, c = hypotenuse:
<em>look at the picture</em>
<em>subtract 37° from both sides</em>
First, distribute.
{8x-11(x-2)=-8}
{8x-11x+22=-8}
Next, add up the variables.
{8x-11x+22=-8}
{-3x+22=-8}
Then, move 22 to the other side.
{-3x+22=-8}
{-3x=-30}
Finally, divide each side to get your answer.
{-3x=-30}
<em>x=10</em>
I'm sorry, I can't show much working for this, I just pictured it. Let me know if you need to see working:
(6r - x)(2r + 5y)