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garik1379 [7]
3 years ago
9

Herrons formula:2S=a+b+c solve for b

Mathematics
2 answers:
True [87]3 years ago
5 0
Minus a and minus c from both sides

2S-a-c=b
b=2S-a-c
Firlakuza [10]3 years ago
4 0

Answer:

The value of the formula for b is 2S-a-c=b.

Step-by-step explanation:

Consider the provided formula.

2S=a+b+c  

We need to solve the formula for b.  

Subtract both sides by a.

2S-a=a-a+b+c

2S-a=b+c

Subtract both sides by c.

2S-a-c=b+c-c

2S-a-c=b

Hence, the value of the formula for b is 2S-a-c=b.

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oee [108]
Red apples to all apples:

There are 6 red apples and 13 apples total, so the ratio it 6:13

Green Apples to All Apples:

There are 7 green apples and 13 apples total, so the ratio is 7:13.
8 0
3 years ago
how would you change the sentence into a true statement? some irrational numbers are also rational numbers..... A. All irrationa
Fynjy0 [20]

Irrational numbers cannot be classified as rational numbers. - EXPLANATION - both are different completely, according to as I think, and thus they cannot be inter-related. Irrational like - root2, root3, and all those that cannot be further solved completely. Their decimal representation is neither recurring nor ending e.g. 1.101001000100001000001.... and so on while rational number are consisting of whole numbers, integers, natural numbers, and all the constants and their decimal representation can be non ending but recurring.

5. d. Irrational numbers cannot be classified as rational numbers. - EXPLANATION - out of the options this one's correct. As I above said, all numbers as far as I know can be categorized into unreal and real numbers out of which real numbers consist of irrational and rational numbers while unreal numbers, I don't know as I have not been taught about them yet and neither do you have been, as I think so. All I know is that, as far as I have been taught, unreal number are not connected to real numbers.

6. Every real number is a rational number. - EXPLANATION - As I told you above, real numbers can also be irrational so this is false.

Hope this helps!

8 0
3 years ago
Read 2 more answers
PLEASE a help me (pre algebra)
irakobra [83]

Answer:

it's in order

1.   j: 71

2. j: 16

3. j: 10

4. j: 68

5. j: 61

4 0
2 years ago
Read 2 more answers
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom co
Nitella [24]

Answer:

width = 1.77845 ft

length = 7.1138 ft

height = 5.691 ft

total cost = $759.09

Step-by-step explanation:

volume = length x width x height

length = 4 width

base of the rectangle = 4 x 1 w = 4w²

72 (volume) = 4w²h

18 = w²h

f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)

f(c) = 80w² + 10wh + 40wh

f(c) = 80w² + 50wh

since we need only 1 variable (width), we have to substitute h:

h = 18/w²

f(c) = 80w² + 50w(18/w²) = 80w² + 900/w

f'(c) = 160w + 900/w²

0 = (160w³ + 900)/w²

0 = 160w³ + 900

0 = 20(8w³ + 45)

0 = 8w³ + 45

8w³ = -45

w³ = -45/8

w = ∛-45/8 = -1.77845 and 1.77845

since w cannot be negative, then it must be 1.77845

6 0
2 years ago
The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t
Paul [167]

Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population?

c. What is the 95% confidence interval for the proportion of smokers in the population?

Answer:

a

n = 2017

b

\^ p = 0.2578

c

0.238  <  0.278

Step-by-step explanation:

Considering question a

From the question we are told that

    The margin of error is  E = 0.02

     The preliminary estimate of the proportion who smoke is  p = 0.30

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically  represented as  

      n = [ \frac{Z_{\frac{\alpha }{2} }  }{E} ] ^2  *  p(1 - p )

=>   n = [ \frac{1.96  }{0.02} ] ^2  *  0.30(1 -  0.30  )

=>   n = 2017

Considering question b

 From the question we are told that

   The number of smokers  is  k =  520  

Generally the  point estimate of the proportion of smokers in the population is mathematically represented as

        \^ p =  \frac{520 }{2017 }

=>    \^ p = 0.2578

Considering  question c

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>   0.2578 - 0.02 <  0.2578 + 0.02

=>   0.238  <  0.278

7 0
2 years ago
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