Answer:
Each bag will get 5 candy canes and 3 cookies.
Step-by-step explanation:
Find the divisors of both numbers
75 = 1,75 : 3,25 : 5,15 : 15,5 : 25,3 : 75,1
45 = 1,45 : 3,15 : 5,9 : 9,5 : 15,3 : 45,1
Since the largest common divisor is 15, we want to use 15.
Each bag will get 5 candy canes and 3 cookies.
See the attached sketch. Let
denote angle ABC and
denote angle CBD. Then
.
From the sketch, we see that


Write
in terms of
. Recall the angle sum identity for tangent:

This gives us

and plugging in
leaves us with

and so AD = 5 * 37/55 = 37/11.
Answer:
The radius of the inflated spherical balloon is 45 millimeters.
Step-by-step explanation:
Volume of the spherical water balloon = 121,500 pi cubic millimeters
Let the radius of the balloon = r
Now, Volume of a Sphere = 
⇒
On solving for the value of r, we get:
![r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}](https://tex.z-dn.net/?f=r%5E%7B3%7D%20%20%3D%20%5Cfrac%7B121%2C500%5Ctimes%203%7D%7B4%7D%20%20%20%3D%2091125%5C%5C%20%5Cimplies%20%20r%20%20%3D%20%5Csqrt%5B3%5D%7B91125%7D)
or, r = 45 millimeter
Hence, the radius of the inflated spherical balloon is 45 millimeters.
Answer:
~ 639.75 cm^3
Step-by-step explanation:
see pic
<h2>
Edit: I did this with the assumption that 12 was the diameter, if it's the radius disregard this please</h2>
Answer:
it will option B . hope it helps