Answer:
<h3>50 is the old value and 76 is the new value. In this case we have a positive change (increase) of 52 percent because the new value is greater than the old value.</h3>
In the given figure, there are two right angled triangles.
Area of triangle = 1/2 × b × h
Area of shaded region = area of larger triangle - area of smaller triangle
= 1/2 × 15 × 18 - 1/2 × 8 × 9
= 135 - 36
= 99 ft^2
Thus, area of shaded region is 99 ft^2.
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)!)
9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Answer:
3/5
Step-by-step explanation:
sin is opposite divided by the hypotenuse ( longest side)
18 is the opposite of angle x and the hypotenuse is 30
18/30 = 3/5
