Step-by-step explanation:
(1 - cos²A)(1 + tan²A) = tan²A
1 + tan²A - cos²A - cos²A · tan²A = tan²A
1 + tan²A(1 - cos²A) - cos²A = tan²A
1 - cos²A + tan²A(sin²A) = tan²A
sin²A + tan²A(sin²A) = tan²A
sin²A (1 + tan²A) = tan²A
sin²A (sec²A) = tan²A
sin²A (1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → <u>Proved</u>
First lets put these numbers into improper fractions. 4 2/5 becomes 22/5 becomes we multiple the 4 by the denominator,5, and add to the dividend.
We do the same process with 16 1/2 and get 33/2.
We then need to set these equations so that they have the same base. In these case a common factor is 10.
We multiple our first equation by 2 and get 44/10, and then we multiple our second equation by 5 and get 165/10.
We then setup the equation (44/10)*x=165/10
We can multiple each side out by 10, leaving us 44x=165
Divide each side by 44, which leaves us with x=165/4
When you simiplify the problem we are left with x and our answer.
When done correctly you will find that it takes 3 3/4 minutes to fill a tank that holds 16 1/2 gallons.
Answer:
82.5°
Step-by-step explanation:
This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.
You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :
15° + 2x = 180°
2x = 165°
x = 82.5°
therefore 82.5° is the correct answer.
Answer:
4X+12 y
Step-by-step explanation:
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