<span>We have to calculate the length of the missing side.
Use the Pythagorean theorem:
I think. Your answers to choice are wrong.
</span>
Answer:
155
Step-by-step explanation:
The problem sounds complicated, but it's not. Let's analyse.
The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.
We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.
Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).
In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.
y= 11x + 12
=> In Tracy's case: y= 11*13 + 12= 155
So the number of retail stores there were in 2003 was 155
2's and 3's of GCF
HOpe iT hElpeED I'M cOOl
2/5 = x/30......2 in to 5 sec = x in to 30 sec
cross multiply
5x = 60
x = 60/5
x = 12 inches <==
Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere =
radius is given as 4, so,
Volume of Hemisphere =
Now, Volume of Cone =
Where radius is 4 and height is 10, so,
Volume of Cone =
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere =
Surface Area of Cone =
We dont need to use the first part, since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone =
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters