Answer:
The size of the angle formed at the top of the sail is 35.
Step-by-step explanation:
We know that the sum of all angles inside a triangle must be 180. This is a rule.
So we know that a right triangle is called like that because one angle is a 90-degree angle.
Then we have that:
180 = right angle + lower edge angle + angle top of the sail
180 = 90 + 55 + angle top of the sail
Solving for 'angle top of the sail' we have:
angle top of the sail = 180 - 90 - 55 = 35
The size of the angle formed at the top of the sail is 35.
Answer:
rate of change: $0.35; initial value: $2.50; Equation: y= 0.35x + 2.50
Step-by-step explanation:
The rate of change is $0.35 because it's the one to change the total cost of the ice cream. If you get 3 toppings, you'll end up with 1.05 more dollars than if you had 0 toppings. And because of that, the initial value would also be $2.50, that's the minimum price you'll have to pay if you do want a sundae.
The equation is just restating all that, you start with the inital value b=$2.50, and the price will go up by 0.35 for every topping you add to the sundae.
Hope this helped :)
Answer:
Step-by-step explanation:
Answer: The missing length is 40 m.
Step-by-step explanation:
30^2 + b^2 = 50^2
900 + b^2 = 2500
-900 -900
b^2 = 1600
b= 40
To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the surface area and the volume of the tank:
2. Solve for 
in the second equation and substitute it into the first one.Then, you have:
3. Now, derivate:
4. When you solve for 
, you obtain:
![2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03](https://tex.z-dn.net/?f=%202x%5E%7B3%7D-256%3D0%5C%5C%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B256%7D%7B2%7D%7D%20%20%5C%5C%20x%3D5.03%20)
5. Now, you must calculate :
Therefore, the dimensions are:
The sides of the base of the tank: 
The height of the tank: 
