Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = ![\[\frac{48}{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B48%7D%7B2%7D%5C%5D)
= 24 m
Height of the cone = 18 m
Volume of a cone is given as ![\[\frac{1}{3}*pi*radius^{2}*height\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2Aradius%5E%7B2%7D%2Aheight%5C%5D%0A)
= ![\[\frac{1}{3}*pi*24^{2}*18\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A24%5E%7B2%7D%2A18%5C%5D%0A)
= ![\[\frac{1}{3}*pi*10368\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A10368%5C%5D%0A)
= ![\[pi*3456\] ](https://tex.z-dn.net/?f=%5C%5Bpi%2A3456%5C%5D%0A)
Hence among the given options, option D is the correct one.
Answer:
two triangles that are similar, that have equal angles
Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.
Step-by-step explanation:
- Step 1: Find equation for Thursday's sales.
Given b = price of a loaf of bread and m = price of one liter of milk
Total sales = €10.90
Equation ⇒ 4b + 5m = €10.90
- Step 2: Find the values of b and m.
3b + 2m = 6.25 ----- (1)
4b + 5m = 10.90 ---- (2)
Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.
15b + 10m = 31.25
8b + 10m = 21.8
Subtract eq(2) from eq(1)
⇒ 7b = 9.45
⇒ b = 9.45/7 = €1.35
Substitute for b and find m using eq(1).
⇒ 3 × 1.35 + 2m = 6.25
⇒ 4.05 + 2m = 6.25
⇒ 2m = 2.2
∴∴ m = 2.2/2 = €1.1
Answer: Lower left corner
A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:
f(x) = x-4
OR
f(x) = -2x
The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.
To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.
Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.
