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Agata [3.3K]
4 years ago
6

A circle has a radius of 32 units. Find the circumference. Round your answer to the nearest hundredth

Mathematics
2 answers:
meriva4 years ago
7 0
The answer to the question is 201.06
PSYCHO15rus [73]4 years ago
3 0

Answer:

200.96 units

Step-by-step explanation:

Multiply radius by 2 to get diameter

32*2=64

Multiply diameter by 3.14 to get circumference

64*3.14=200.96

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11. Write the balanced equation for the reaction of HC2H3O2, with Al(OH)3 to form H2O and Al(C2H302)3:
Kamila [148]

Answer:

74.36 g of aluminium acetate.

730.27g of aluminium acetate.

- to the nearest hundredth.

Step-by-step explanation:

Acetic acid is usually written as CH3COOH.

a. 6CH3COOH + Al(OH)3 ---> Al(CH3COO)3 + 9H2O

So 6 moles of acetic acid produce 1 mole of aluminium acetate.

Using the molecular masses

6*( 1.008*4 + 12.011*2 + 16 *2) g acetic acid gives (26.98+3(36.032+ 2*12.011)

348.228 g acetic acid gives 207.142 g Al acetate.

So 125 g gives (207.142 / 348.228) * 125

= 74.36 g of aluminium acetate.

b.

(26.98 + 3*16 + 3 * 1.008) g  of Al(OH)3 gives 207.142 g Al acetate

78.004 g gives 207.142 g Al acetate

275 g gives   (207.142 / 78.004) * 275

= 730.27g Al acetate.

7 0
3 years ago
Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on inter
Mazyrski [523]
First find the total payments
Total paid
200×30=6,000 (this is the future value)

Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)

Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15

The answer is 4795.15
5 0
3 years ago
Insert two sets of grouping symbols to make the equation true. 102 + 4 • 6 + 3 − 27 ÷ 9 − 6 = 127
allsm [11]
Idk i literally get one away for everything i do
5 0
3 years ago
- 7x + 12 - 2x = 23+13x
SpyIntel [72]
Hello, the answer is x=-1/2
Here are the steps....
<span><span><span><span><span>−<span>7x</span></span>+12</span>+</span>−<span>2x</span></span>=<span>23+<span>13x</span></span></span><span><span><span>(<span><span>−<span>7x</span></span>+<span>−<span>2x</span></span></span>)</span>+<span>(12)</span></span>=<span><span>13x</span>+23</span></span>(Combine Like Terms)<span><span><span>−<span>9x</span></span>+12</span>=<span><span>13x</span>+23</span></span><span><span><span>−<span>9x</span></span>+12</span>=<span><span>13x</span>+<span>23
</span></span></span><span><span><span><span>−<span>9x</span></span>+12</span>−<span>13x</span></span>=<span><span><span>13x</span>+23</span>−<span>13x</span></span></span><span><span><span>−<span>22x</span></span>+12</span>=<span>23
</span></span><span><span><span><span>−<span>22x</span></span>+12</span>−12</span>=<span>23−12</span></span><span><span>−<span>22x</span></span>=<span>11
</span></span><span><span>−<span>22x</span></span><span>−22</span></span>‌=<span><span>‌<span>11<span>−22</span></span></span>‌</span><span>x=<span>‌<span><span>−1</span>2</span></span></span><span>
</span>Hope this helps you!!
6 0
3 years ago
Is 3/7 and 7/3 the same on the number length in the fraction line?
Artemon [7]
No 7/3 is equal to 2 1/3 while 3/7 is 3/7 (less than 1)
8 0
3 years ago
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