Answer: 16.91°
Step-by-step explanation:
1. You can draw a right triangle as you can see in the figure attached.
2. Then you can calculate the angle of elevation (α) as following:
Where:
3. Now you must substitute these values. Then, the angle of elevation is:
Answer:
See below.
Step-by-step explanation:
Unit rate = 78 / 3/4
= 78 * 4/3
= 26*4 (because 78 / 3 = 26)
= 104 calories per cup
There are 2 * 104 = 208 calories in 2 cuos of cereal..
Answer:
24
Step-by-step explanation:
6 divided by 5 times 20 =24
6/5*20= 24
Answer:
-8
Step-by-step explanation:
When you factor, you just find two numbers that add to be the first number (16) and multiply to be the second number (64). 8 and 8 both do this. So when we factor, we also add the variable into each equation because it also has been divided into two equations, and we get: (p + 8)(p +8). Notice that the equations are "+8" and not "-8" because two +8s add to give us a +16 and multiply to give us a +64. After that, we just solve the two equations to find the solutions. Subtract 8 from each equation (we do the opposite operation because 8 is positive) to get -8. Because the answer for each equation is the same our answer is -8.
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
