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VLD [36.1K]
3 years ago
6

What is the approximate volume of a tree trunk is the trunk is 12 feet tall with a circumference of 4.5

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
We need to solve for the radius
circumference = radius * 2 * PI
radius = circumference / (2*PI)
radius = 4.5 / ( <span> <span> <span> 6.2831853072 </span> </span> </span> )
radius = <span> <span> <span> 0.7161972439 </span> </span> </span> feet
Formula for cylinder volume:
<span>Volume = </span><span>π • r² • height</span>
Volume = <span>π • (</span><span> <span> <span> 0.7161972439)^2 * 12
</span></span></span>Volume = PI * <span><span>0.5129384922 </span> * 12
Volume  </span><span><span><span>19.3373255857 </span> cubic feet
</span> </span>

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the hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh
Nuetrik [128]

Keywords:

<em>System of equations, variables, hardcover version, paperback version, books </em>

For this case we must construct a system of two equations with two variables. Let "h" be the number of hardcover version books, and let "p" be the number of paperback version books. If the hardcover version of a book weighs 7 ounces and the paperback version weighs 5 ounces, to reach a total of 249 ounces we have:

7h + 5p = 249 (1)

On the other hand, if there are Forty-five copies of the book then:

h + p = 45 (2)

If from (2) we clear the number of books paperback version we have:

p = 45-h

As each paperback version book weighs 5 ounces, to obtain the total weight of the paperback version books, represented by "x" in the table shown, we multiply5 * p = 5 (45-h)

So, x = 5 (45-h)

Answer:

x = 5 (45-h)

Option D

8 0
3 years ago
Read 2 more answers
Create and solve a system of equations for the following scenario: Luke and Leia are selling hot dogs and hamburgers at a minor
mixas84 [53]

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


5 0
3 years ago
Integrated mathematics 2. need help with chapter 5 test please​
Pani-rosa [81]

Answer:

1/4

Step-by-step explanation:

\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }

\text{which contains 52 cards. There are 13 diamonds in a pack.}

\text{Probability of an event:}

\text{ Number of favorable outcomes / Total number of outcomes}

\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.

\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4} .

8 0
2 years ago
Write the following equation in logarithmic form <br> a^(4b-6)=3c+d
Tomtit [17]

Hello from MrBillDoesMath!

Answer:  (4b-6) log(a) = log (3c + d)

Discussion:

Take the log of both sides of the equation:


log ( a ^(4b-6))  = log (3c + d)  


As the log functions causes exponents to become multiplexers, this equation is the same as


(4b-6) log(a) = log (3c + d)


Thank you,

MrB

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3 years ago
What is the constant of variation for the following: 5y=10x?
ss7ja [257]
Y and x are the two varibles so 5 and 10 are your contants

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