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siniylev [52]
3 years ago
12

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angles supplement. what is the mea

sure of the angle?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0
Let angle be x 
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)

4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 =  3 1/3 x
x =  240  /  10/3  = 240 * 3/10  = 72 degrees Answer
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A recpe with teo indgredients with a ratio of 1/2 cup 1/8 cup what would meet ths indgredients?
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5 0
3 years ago
A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con
Mashutka [201]
The tank with Chemical X "takes up" a space of 25ft³.  Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume.  The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V
To find the volume of a cylinder, we find the base area and multiply by the height.  We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h
We would now divide both sides by 3 2/10:
\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}
This is the same as:
\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}
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8 0
3 years ago
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard
Lena [83]

Answer:

The correct answer is "$159 and $175".

Step-by-step explanation:

The give values are:

Mean,

= $167

Standard deviation,

\sigma = $40

Number of commuters,

n = 100

Now,

⇒ SE=\frac{\sigma}{\sqrt{n} }

On putting the given values, we get

⇒       =\frac{40}{\sqrt{100} }

⇒       =\frac{40}{10}

⇒       =4

By using the 2 SE rule of thumb, we get

= $(167 - 2\times 4)

= 167-8

= 159 ($)

Or,

= (167 + 2\times 4)

= 167+8

= 175 ($)

i.e,

$159 and $175

6 0
3 years ago
Sony brother is 8 year older than four fifth her age. if her brothers age is 32 years what is sony
madam [21]

Answer:

I would say Sony's age is 33 because 4/5 of 32 is about 25 then 25+8=33

Hope I helped :)

3 0
3 years ago
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