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>
This is how I'd set it up:
405/20 = 243/x
this means the mpg (miles / gallons) for 1 situation is the same as the mpg for the other situation (because the rate is the same)
then just cross multiply and solve:
405x=243*20 or 405x=4860 or x = 12
he would need 12 gallons of gas for 243 miles
The magnitude of vector (-7,-5) =
=
<span>vector as the sum of unit vectors = -7 i - 5 j</span>
Answer:
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Step-by-step explanation:
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