The ratio of the volumes of the cylinder A to cylinder B = 18:25
Step-by-step explanation:
Cylinder A:
Radius= 3
Height= 4
Volume = πr(r)h
= π (9) (4)
= 36π
Cylinder B:
Radius= 5
Height= 2
Volume=πr(r)h
= π(25) (2)
= 50π
Ratio:
Cylinder A: cylinder B = 36π/50π
= 18/25
= 18:25
The ratio of the volume of Cylinder A:cylinder B = 18:25
C) 1/2 a cup for one serving, also the smaller one.
D) i dont know this one, but the answers for C are for sure correct
Answer:
D
Step-by-step explanation:
Triangles add up do 180 degrees, and you need all of the angles to get that amount
One angle is 29 degrees, the right angle is 90, and theres a
You would then add 90 and 29 to get 119 then subtract the 119 on both sides which leaves u with a=61
Answer:
-2.5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
2
= -2.5
θ =
arctan( ΔY ) + 360°
ΔX
= 291.80140948635°
ΔX = 7 – 5 = 2
ΔY = -2 – 3 = -5
Distance (d) = √ΔX2 + ΔY2 = √29 = 5.3851648071345
Equation of the line:
y = -2.5x + 15.5
or
y =
- 5 x
2
+ 31
2
When x=0, y = 15.5
When y=0, x = 6.2
Answer:
A
Step-by-step explanation:
Step 1, setting variables:
We already know the <em>exact</em> height of the prism: 6 feet. We can set the unknown width as variable <em>x</em>, and length as <em>x+2 </em>(<u>length is two feet more than width</u>).
Step 2, writing equations:
Great! We have everything now. Let us write the equation by<u> substituting our variables in</u>:
![V=l*w*h\\V=6w(w+2)\\](https://tex.z-dn.net/?f=V%3Dl%2Aw%2Ah%5C%5CV%3D6w%28w%2B2%29%5C%5C)
Ok! Let us <u>expand</u> the equation:
<u />
<u />
![\fbox{A}](https://tex.z-dn.net/?f=%5Cfbox%7BA%7D)
<em>I hope this helps! Let me know if you have any questions :)</em>