First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
P = 2L + 2W
P = 2(6x - 2) + 2(x - 1)
P = 12x - 4 + 2x - 2
P = 14x - 6
A <<<< Answer
Answer:
<h2><em><u>x = 4</u></em></h2>
Explanation:
10 + 6x + 2x - 7 = 35
- Add Similar Elements: 6x + 2x = 8x
10 + 8x - 7 = 35
8x + 10 - 7 = 35
8x + 3 = 35
- Subtract 3 From Both Sides
8x + 3 - 3 = 35 - 3
8x = 32
8x / 8 = 32 / 8
<h2><u><em>x = 4</em></u></h2>
The answer is 7.66 repeating. I hope this helps
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
