If i am correct, these values should add to 360, so I do it by
140 + 110 + 62 = 312
360 - 312 = 48
So the value of the last side must equal 48.
Your answer would be x = -9. Proof:
If 9 is filled in, you would have
(3 - 5(-9))
(3 - (-45))
48
Then
48 + 140 + 110 + 62 = 360!
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Vcylinder-Vsphere=water
Vcylinder=hpir^2
Vsphere=(4/3)pir^3
given
cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness
sphereradius=12
Vsphere=(4/3)pi12^3=2304pi
cylinder-sphere=90000pi-2304pi=87696pi
using pi=3.14
water=275365.44 cubic cm
last option is corrrect
Answer:
56.52 inches
Step-by-step explanation:
The circumference of a circle can be found using:
![c=\pi d](https://tex.z-dn.net/?f=c%3D%5Cpi%20d)
We know the diameter is 18, and
is being rounded to 3.14, so we can substitute them in.
c=3.14*18 <em>Multiply</em>
c=56.52
So, the circumference is 56.52 inches
Answer:
The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Step-by-step explanation:
Let x be the amount in the account at 12% interest
So, 6000-x is the amount in the second account at 7% interest
![SI = \frac{P \times T \times R}{100}](https://tex.z-dn.net/?f=SI%20%3D%20%5Cfrac%7BP%20%5Ctimes%20T%20%5Ctimes%20R%7D%7B100%7D)
First account:![SI=\frac{x \times 1 \times 12}{100}](https://tex.z-dn.net/?f=SI%3D%5Cfrac%7Bx%20%5Ctimes%201%20%5Ctimes%2012%7D%7B100%7D)
Second account : ![SI =\frac{(6000-x) \times 1 \times 7}{100}](https://tex.z-dn.net/?f=SI%20%3D%5Cfrac%7B%286000-x%29%20%5Ctimes%201%20%5Ctimes%207%7D%7B100%7D)
We are given that At the end of the first year he had earned $590 in interest.
So, ![\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%5Ctimes%201%20%5Ctimes%2012%7D%7B100%7D%2B%5Cfrac%7B%286000-x%29%20%5Ctimes%201%20%5Ctimes%207%7D%7B100%7D%3D590%5C%5Cx%3D3400)
So,the amount in the account at 12% interest is $3400
The amount in the second account at 7% interest =6000-x=6000-3400=2600
Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
The exact circumference is 60ft