The property of zero it is in simplest form
We have to calculate the height of a cylinder : h2 = ( 45 - 2 · 15 )/ 2 = 15 / 2 = 7.5 mm
Volume of the bottom of the hourglass:V = 1/3 r² π h1 + r² π h2 = = 1/3 · 6² · 3.14 · 15 + 6² · 3.14 · 7.5 = = 1/3 · 36 · 3.14 · 15 + 36 · 3.14 · 7.5 = = 565.2 + 847.8 = 1,413 mm³The rate is 10 π mm³/ sec = 31.4 mm³/secTime = 1,413 : 31.4 = 45 sec.Answer: It will take 45 seconds.
Answer:
3-pack= 135 cupcakes
6-pack= 270 cupcakes
9-pack= 405 cupcakes
Step-by-step explanation:
Let's say that 3-pack = a, 6-pack =b and 9-pack = c
The company’s leaders want to divide the cupcakes so that 3-pack, 6-pack and 9-pack packages produced are the same. This translate to an equation of:
a=b=c
The factory has 810 cupcakes in total. The equation will be:
a*3 + b*6 + c *9= 810
3a + 6b + 9c = 810
If we substitute the 1st equation into the second(we can put b=a and c=a), the equation will become
3a + 6b + 9c = 810
3a + 6(a) + 9(a) = 810
18a= 810
a=45
Using the first equation, we know that we have 45 packages of each kind.
If there are 45 packages of 3-pack, the number of cupcakes go into 3-package will be: 3*45= 135 cupcakes
If there are 45 packages of 6-pack, the number of cupcakes go into 6-package will be: 6*45= 270 cupcakes
If there are 45 packages of 9-pack, the number of cupcakes go into 9-package will be: 9*45= 405 cupcakes
Answer:
Take a look at this screen shot hope it helps
Step-by-step explanation:
Corresponding parts of corresponding triangles are congruent and angle additional postulate ?
