Answer:A:30
Step-by-step explanation:
The number 30 occurs the most
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
First find the number of ft around the garden and if it took Clare 30 min to walk the entire distance divide your previous answer by 30 so you can see how many ft per minute she was walking
Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
![\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%5E2x%7D%7Bcos%5E2x%7D%20%2B%20%5Cfrac%7Bcos%5E2x%7D%7Bcos%5E2x%7D%20%3D%20%5Cfrac%7B1%7D%7Bcos%5E2x%7D%20)
![\frac{sinx}{cosx} = tanx](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsinx%7D%7Bcosx%7D%20%3D%20tanx)
so
![\frac{sin^2x}{cos^2x} = tan^2x](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%5E2x%7D%7Bcos%5E2x%7D%20%3D%20tan%5E2x)
and
![\frac{1}{cosx} = secx](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bcosx%7D%20%3D%20secx%20)
so
![\frac{1}{cos^2x} = sec^2x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bcos%5E2x%7D%20%3D%20sec%5E2x)
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
Answer:
is this a multiple answer question
Step-by-step explanation: