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melomori [17]
3 years ago
7

Is ANYONE familiar with the picket fence method? I need help on a few things and I'm willing learn. This method is to help conve

rt between 2 factors.. and I just really need help with 2 problems.

Mathematics
2 answers:
Sidana [21]3 years ago
8 0

type out the two problems you need help with*

Jobisdone [24]3 years ago
7 0

The picket fence method is a visual way to help convert from one unit to another. The drawing of the diagram looks more or less like a fence. You will draw a horizontal flat line with a set of vertical lines that make up the fence posts. Check out the attached image to see what I mean.

In the first slot of the top row will go the value you want to convert. So we'll have 0.46 kg in that position. Now you need to convert from kilograms (kg) to grams (g). There are 1000 grams in a kilogram which means 1 kg = 1000 g. This helps us set up the conversion factor. We place 1000 g in the slot next to 0.46 kg and 1 kg just below that. Then we set up another conversion factor

1 oz = 28.3495 g which is approximate. This forms the third step of the conversion.

Now we multiply across the top and bottom separately. Across the top we will have 0.46*1000*1 = 460. Along the bottom we have 1*28.3495 = 28.3495

Finally we divide the top result (460) over the bottom result (28.3495) and we get the approximate final answer 16.2260357

This shows how 0.46 kg turns into the approximate value 16.2260357 ounces

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What’s the correct answer for this?
ololo11 [35]

As you can see in the picture, this is 6-8-10 right triangle.

One of angles is 90° so you can find others

\tan( \alpha )  =  \frac{opp}{adj}

8/6 = 4/3

6/8= 3/4

tan-1(4/3) = 36.9 °

tan-1(3/4) = 53.1 °

tan<R= 53.1 °

Hope this helps ^-^

4 0
3 years ago
1/4+(-3/4)= ?<br>(Sorry I didn't have a calculator)
IrinaVladis [17]
The answer would be 
-1/2 

or in decimal form 
-0.5

hope this helps :) 
3 0
3 years ago
-3.3(6) SHOW WORKS PLSSSSSSSSSSSSSSSS
kati45 [8]

Answer:

-19.8

Step-by-step explanation:

-3 x 6 = -18

-0.3 x 6 = -1.8

add together: -18 + -1.8 = -19.8

3 0
3 years ago
Read 2 more answers
The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 ​ 1, start fraction, 2, divided by, 9, end fracti
jolli1 [7]

Question:

The quantities x and y are proportional.

x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}

Find the constant of proportionality (r)

Answer:

r = 1\frac{10}{11}

Step-by-step explanation:

Given

x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

y = rx

When

y = 2\frac{1}{3}       x = 1\frac{2}{9}

Substitute these values in the given formula

2\frac{1}{3} = r * 1\frac{2}{9}

Convert both fractions to improper fractions

\frac{7}{3} = r * \frac{11}{9}

Multiply both sides by \frac{9}{11}

\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}

\frac{7}{3} * \frac{9}{11}= r

Reorder

r = \frac{7}{3} * \frac{9}{11}

r = \frac{7 * 9}{3 * 11}

Divide the numerator and denominator by 3

r = \frac{7 * 3}{11}

r = \frac{21}{11}

Convert to mixed fraction

r = 1\frac{10}{11}

<em>Hence, the constant of proportionality is </em>1\frac{10}{11}<em></em>

4 0
3 years ago
Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form
yKpoI14uk [10]

Answer:

\displaystyle  a_{1}    = 108

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

\displaystyle S_{ \text{n}} =  \frac{ a_{1}(1 -  {r}^{n} )}{1 - r}

we are given that

  • S_n=189
  • r=\dfrac{1}{2}
  • n=3

thus substitute:

\displaystyle 189=  \frac{ a_{1}(1 -  {( \frac{1}{2} )}^{3} )}{1 -  \frac{1}{2} }

to figure out a_1 we need to figure out the equation

simplify denominator:

\displaystyle  \frac{ a_{1}(1 -  {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2}  }  = 189

simplify square:

\displaystyle  \frac{ a_{1}(1 -  {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2}  }  = 189

simplify substraction:

\displaystyle  \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2}  }  = 189

simplify complex fraction:

\displaystyle   a_{1} (\frac{7}{8} ) \div { \frac{1}{2}  }  = 189

calculate reciprocal:

\displaystyle   a_{1} \frac{7}{8}   \times 2  = 189

reduce fraction:

\displaystyle   a_{1} \frac{7}{4}   \  = 189

multiply both sides by 4/7:

\displaystyle   a_{1} \frac{7}{4}  \times  \frac{4}{7}   \  = 189 \times  \frac{4}{7}

reduce fraction:

\displaystyle   a_{1}     = 27\times  4

simplify multiplication:

\displaystyle  a_{1}    = 108

hence,

\displaystyle  a_{1}    = 108

4 0
3 years ago
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