Step-by-step explanation:
cos(A + B) cos(A − B)
Use angle sum/difference formulas:
(cos A cos B − sin A sin B) (cos A cos B + sin A sin B)
Distribute:
cos² A cos² B − sin² A sin² B
Use Pythagorean identity:
cos² A (1 − sin² B) − (1 − cos² A) sin² B
Distribute:
cos² A − sin² B cos² A − (sin² B − sin² B cos² A)
cos² A − sin² B cos² A − sin² B + sin² B cos² A
cos² A − sin² B
Answer:
Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5\%5%, and it is customary to leave a tip of 15\%15% for the server. The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
Step-by-step explanation:
To calculate this answer you have to sum up the amount of women and amount of men at the concert: 1493 + 1438 = 2931.
Now you have the total amount of people. To get the precentage of the audience that are men, you do this: 1493/2931. (you divide the amount of men with the amount of every person present).
1493/2931 = 0.5093
you multiply 0.5093 by 100
and you get 50.93%. And that is the final answer.
Answer:
308025 times larger
Step-by-step explanation:
The polygon BBB is a scaled copy of polygon A using a scale factor of 555.
This means for every length of polygon AAA, polygon BBB is 555 times larger.
Recall area is in
.
Area of polygon BBB = (scale factor)^2 multiplied by area of polygon AAA
Since the scale factor is 5
Area of polygon BBB = (555^2) * Area of polygon AAA
Area of polygon BBB = 308025 times the area of polygon AAA
Hope I have been able to help.
Answer:
A 698
Step-by-step explanation: