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daser333 [38]
4 years ago
9

The diameter of one side of a 10-foot log is approximately 13 inches. The diameter of the other side of the log is approximately

11 inches. Which is the best way to estimate the volume in cubic feet of the log?
Mathematics
1 answer:
Darya [45]4 years ago
5 0
To best estimate the volume of the log, we assume that the diameter is the average of the diameters at both ends giving us 12 inches as the diameter. Thus, the radius is equal to 0.5 ft. The volume of the log is calculated through the equation,
                      V = πr²h = π(0.5 ft)²(10 ft) = 7.85 ft³
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At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $66 meal? An
quester [9]

Answer:

$5.61

Step-by-step explanation:

we know that

At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.

so

using a proportion

Find out how much would the sales tax be on a $66 meal

Let

x ----> the amount of sales tax on a $66 meal

\frac{22}{1.87}=\frac{66}{x}\\\\x=1.87(66)/22\\\\x=1.87(3)\\\\x=\$5.61

6 0
3 years ago
I really need help! This is last minute and its 1 am. I'm tired so I'm going to leave it to you guys to solve my problems and pr
Illusion [34]

Answer:

<h2><u>question 1</u></h2>

n^{2} - 20n -96 = 0

use product and sum method

product = -96

sum = -20

numbers needed = ( -24 , 4)

n - 24 = 0

n + 4 = 0

hence <u>n = 24 and n = -4 </u>

<u></u>

<h2><u>Question 2 </u></h2>

<u />x^{2} + 12 x = 48<u />

in the form ax^{2}  +bx +c = 0

= x^{2} +12x - 48

make use of the formula :

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}

replace values to make 2 equations :

1.\frac{-12+\sqrt{12^{2} -4*1*-48} }{2*1} = 3.17

2.\frac{-12-\sqrt{12^{2} -4*1*-48} }{2*1} = -15.2

hence <u>x = 3.17 and x = -15.2</u>

<u />

<h2><u>Question 3 </u></h2>

<u />x^{2} -14x+40=0<u />

use product and sum method

product = 40

sum = -14

numbers needed = (-10 , -4)

x - 10 = 0

x - 4 = 0

hence<u> x = 10 and x = 4</u>

<u />

<h2><u>Question 4 </u></h2>

<u />5b^{2} -20b-18 = 7<u />

in the form ax^{2}  +bx +c = 0

this becomes 5b^{2} -20b-18-7

= 5b^{2} -20b-25

can simplify by 5

= b^{2} -4b-5 =0\\

use product and sum method

product = -5

sum = -4

numbers needed (-5 , 1)

b-5 = 0

b + 1 = 0

hence <u>b = 5 and b = -1</u>

5 0
4 years ago
Read 2 more answers
In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Naily [24]
I found your complete question in another source.
 See attached image. 
 For this case what you should see is that you have two similar triangles.
 We then have the following relationship:
 ((AB) / (BX)) = ((CD) / (DX))
 We cleared CD:
 CD = ((AB) / (BX)) * (DX)
 Substituting the values:
 CD = ((12) / (5)) * (2.5)
 CD = 6
 Answer: 
 CD = 6

5 0
3 years ago
WORTH 1O POINTS!!
LenKa [72]

Answer:

okay so.

Step-by-step explanation:

1. they're the same.

2. theyre also the same. simplify them both and u get 3/4.

3. not the same.

4. not the same. can't be simplified.

5. not sure someone else can try

4 0
3 years ago
There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are r
Andrej [43]

Answer:

Red: 161 White: 77

Step-by-step explanation:

Given there are 238 marbles in a jar, and there are 42 more red marbles than white marbles, we need to divide the number of marbles by two, as there are, presumably, two colors.

238 / 2 = 119

After doing this, we subtract 42 from one of the two 119s, and we add 42 to the other.

119 - 42 = 77

119 + 42 = 161

The value with 42 added is the red marble count, and the value with 42 subtracted is the white marble count.

8 0
3 years ago
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