Answer:
Step-by-step explanation:
2 cos(A+45)cos (B-45)
=2[cos A cos 45-sin A sin 45][cos B cos 45+sin B sin 45]
=2[cos A ×1/√2-sin A ×1/√2][cos B×1/√2+sin B×1/√2]
=2[1/√2(cos A-sin A)][1/√2(cos B-sin B]
=2×1/√2×1/√2 (cos A-sin A)(cos B+sin B)
=cosA cos B+cos A sin B-sin A cos B-sin A sin B
=cos A cos B-sin A sin B-(sin A cos B-cos A sin B)
=cos (A+B)-sin (A-B)
i think there should be A in place of B.
then
=cos (A+A)-sin (A-A)
=cos 2A-sin 0
=cos 2A
as sin 0=0
Step-by-step explanation:
a whole circle is 360°.
if you take away 40°, how many are left ?
that is absolutely the same as the question, when I have 15 apples and 6 are eaten, how many are left ?
well, 15-6 = 9 apples are left.
and so, 360-40 = 320° are left.
Answer:
D
Step-by-step explanation:
Since it’s asking for numbers between -1 and 8 the equation cannot contain a equal symbol therefore it must be D
Answer:
the markup is 1.26 (the amount added is .26)
1.26x (when x is the price Fred buys them for from the manufacturer)
1.26(40)
$50.40 is the retail price
50.4-40
$10.40 is the markup
Step-by-step explanation:
The 26% markup means that he is selling the flags 26% above the cost.
So, the cost would represent 100%, which is 1, and 26% of markup in decimal number is 0.26.
The price including the markup would be 1.26 as decimal or 126% as percentage.
The problem states that the cost is unknown, so we represent that with a variable x. The retail price would be 1.26x, which is 126% per flag.
Finally, if Fred paid $40 per flag, the actual retail price would be:
1.26($40)=$50.40.
With $10.40 of markup.
The answer is 9 I believe