Secθ = cos^(-1)θ is the same as secθ = 1/cosθ
<span>Secant is a trigonometric function, reciprocal to the cosine
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Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation.
1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:
80 + 40x = 40 + 50x
We set it up like this, because each girl has some money, but they're saving more to add to the total. Let's start solving. Subtract 40x from both sides. 40x - 40x cancels out. 50x - 40x is 10x. That shortens to 80 = 40 + 10x. Subtract 40 to get both sides by themselves. 40 - 40 cancel out. 80 - 40 is 40. That simplifies to 40 = 10x. Now, divide each side by 10 to isolate the x. 10x/10 cancel out. 40/10 is 4. Let's test this out and see if it works. 40 * 4 is 160. 160 + 80 is 240. 50 * 4 is 200. 200 + 40 is 240. 240 = 240. There. x = 4. Amira and Sasha will have the same amount of money in 4 months.
Answer:
The hamster weighs 27 ounces.
Step-by-step explanation:
Since the gerbil weighs 9 ounces and the hamster is 3 times that you must multiply the two numbers together. 9x3=27, so therefore, the hamster weighs 27 ounces.
Answer:
Step-by-step explanation:
I’m not sure but I need points
Answer:
The inverse of the function is ±sqrt( (x+4)/2
Step-by-step explanation:
Set the function equal to y
y = 2x^2 -4
Exchange x and y
x = 2y^2 -4
Solve for y
Add 4 to each side
x+4 = 2y^2 -4+4
x+4 = 2y^2
Divide each side by 2
(x+4)/2 = 2/2y^2
(x+4)/2 = y^2
Take the square root of each side
±sqrt( (x+4)/2 )= sqrt(y^2)
±sqrt( (x+4)/2 )= y
The inverse of the function is ±sqrt( (x+4)/2
