Answer:
c
Step-by-step explanation:
Answer: The movie theater sold 434 a day
Step-by-step explanation:
How I got 434 a day
So
If you multiply 434 x 6 = 2,604
so they sold 2,604 in 6 days.
Let me know if I did something wrong.
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Answer:
The card had 41.60 originally
Step-by-step explanation:
3 x 5.20 = 15.60
15.60 + 26.00 = 41.60
unless there is tax
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
![f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E3%2B5x%5C%5CF%28x%29%3D-%5Cdfrac%7Bx%5E4%7D%7B4%7D%20%2B%5Cdfrac%7B5x%5E2%7D%7B2%7D%20%5C%5CF%282%29%3D%5Cdfrac%7B-16%7D%7B4%7D%2B%5Cdfrac%7B20%7D%7B2%7D%20%20%3D6%5C%5C%5C%5CF%28-1%29%3D%5Cdfrac%7B-1%7D%7B4%7D%20%2B%5Cfrac%7B5%7D%7B2%7D%20%3D%5Cdfrac%7B9%7D%7B4%7D%20%5C%5Cg%28x%29%3D%5Cdfrac%7B3x%5E2%7D%7B2%7D%2B%5Cdfrac%7Bx%7D%7B2%7D-5%5C%5C%5C%5CG%28x%29%3D%5Cdfrac%7Bx%5E3%7D%7B2%7D%20%20%20%2Bx%5E2-5x%5C%5C%5C%5CG%282%29%3D4%2B1-10%3D-5%5C%5C%5C%5CG%28-1%29%3D%5Cdfrac%7B-1%7D%7B2%7D%20%2B%5Cdfrac%7B1%7D%7B4%7D%20%2B5%3D%5Cdfrac%7B19%7D%7B4%7D%20%5C%5C%5C%5C%5Cint%5Climits%5E2_%7B-1%7D%20%7B%28f%28x%29-g%28x%29%29%7D%20%5C%2C%20dx%20%3DF%282%29-G%282%29-%28F%28-1%29-G%28-1%29%29%5C%5C%5C%5C%3D11%2B%5Cdfrac%7B5%7D%7B2%7D%20%3D%5Cdfrac%7B27%7D%7B2%7D)