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Effectus [21]
2 years ago
13

Karen spent all but $8 of her savings in three stores. In each store she spent $2 less than half of what she had when she went i

n. How much money did Karen have at the start?
Please HELP!
Mathematics
1 answer:
maksim [4K]2 years ago
5 0

Answer:

36 dollars

Step-by-step explanation:

We need to think backwards to solve this question.

(8 - 2) x 2 = 12

(12 - 2) x 2 = 20

(20 - 2) x 2 = 36

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A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base
Aliun [14]

Answer:

2\ cm

Step-by-step explanation:

We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224=  \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h

As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel

Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm

8 0
3 years ago
HELP PLEASE<br> A. 51.4<br> B. 50.0<br> C. 31.0<br> D. 39.5<br> E. None
Liono4ka [1.6K]
First, in order to find the length of side w, you must first find the angle W. 
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment. 
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.
\frac{w}{sin50} =  \frac{31}{sin37}
Now multiply sin 50 on both sides. It can be written like so:
\frac{31sin50}{sin37}
Now plug this in a calculator. 
Answer is 39.5 



8 0
3 years ago
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