Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.
This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.
It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.
Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.
Answer:
Step-by-step explanation:
h(x)=ax^2
Given h=30 when x=150 we get
a(150)^2=30
a=30/22500=1/750 so
h(x)=x^2/750
Answer:
Step-by-step explanation:
So first add 7 +3 adn get 10, then add 14, and then you will get 24
24 is your answer.
Answer: 15x^2 + 8x - 8
Step-by-step explanation:
1) Add them together
(15x^2 + 3x - 4) + (5x - 4)
2) Combine like terms
15x^2 + 8x - 8
To solve this, look for some factors which could go into the number. Since it ends in a 0, the number 10 is a factor. Since 990 is the product of these factors (meaning they are multiplied together) you can divide out the 10, since division is the opposite of multiplication. This leaves you with the number 99. You can repeat this same process again, realizing that 9 must be a factor of 99 because both digits are 9. If you divide out the 9, this leaves you with 11.
Thus, we know 9*10*11 equals 990. Also, these numbers are consecutive because they increase by 1 each time.
The sum of the numbers is 9+10+11, whicj Iis 30.
ANSWER: 30
