A leg of a right triangle can never be greater then the hypotenuse
this formula will tell you if it's a valid right triangle
![{?}^{2} + {?}^{2} = {?}^{2}](https://tex.z-dn.net/?f=%20%7B%3F%7D%5E%7B2%7D%20%2B%20%7B%3F%7D%5E%7B2%7D%20%3D%20%7B%3F%7D%5E%7B2%7D%20)
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.
THE STEPS:
![{3}^{2} + { \sqrt{7}^{2} } = {4}^{2}](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2%7D%20%2B%20%7B%20%5Csqrt%7B7%7D%5E%7B2%7D%20%7D%20%3D%20%7B4%7D%5E%7B2%7D%20)
![9 + {2.65}^{2} = 16](https://tex.z-dn.net/?f=9%20%2B%20%7B2.65%7D%5E%7B2%7D%20%3D%2016)
![{2.65}^{2} = 7](https://tex.z-dn.net/?f=%20%7B2.65%7D%5E%7B2%7D%20%3D%207)
![9 + 7 = 16](https://tex.z-dn.net/?f=9%20%2B%207%20%3D%2016)
ANSWER:
We can write that as a function:
![f(n)=(200 -20n) * (300 + 50n)\\f(n)=60000+10000n-6000n-1000n^2\\f(n)=-1000n^2+4000n+60000\\](https://tex.z-dn.net/?f=f%28n%29%3D%28200%20-20n%29%20%2A%20%28300%20%2B%2050n%29%5C%5Cf%28n%29%3D60000%2B10000n-6000n-1000n%5E2%5C%5Cf%28n%29%3D-1000n%5E2%2B4000n%2B60000%5C%5C)
where
is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.
![p=\frac{-b}{2a}=\frac{-4000}{-2000}=2](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-4000%7D%7B-2000%7D%3D2)
It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.
Answer:
Ticket price: $160
Number of tickets: 400
Answer:
Step-by-step explanation:
To find the width of the ink pad, we need to use division to find the answer.
<u>We know that:</u>
- Area of ink pad = 98 cm²
- Length of ink pad = 7 cm
- Width = A/L
<u>Solution:</u>
- Width = A/L
- => Width = 98/7
- => Width = 14 cm
Hence, the width of the ink pad is 14 cm.
Answer:
83
Step-by-step explanation: