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zvonat [6]
3 years ago
6

A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

The answer is 20 meters

nika2105 [10]3 years ago
5 0

Answer:

The answer is 20

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A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
y varies directly as x, y=14 when x=18. Determine x when y=31. Estimate your answer to two places after the decimal, if necessar
laiz [17]
Y : x
14 : 18
31 : x
18*31/14=x
39.85714286

ANSWER
x=39.86
8 0
3 years ago
Please help it is my birthday !!!
Firlakuza [10]

Answer:

happy birth day to me

Step-by-step explanation:

its F was i close

5 0
2 years ago
to increase the mean of 4 numbers by 2, by how much would the sum of the 4 numbers have to increase? check image.
solong [7]

Answer:

8

Step-by-step explanation:  

x=average

(x+x+x+x)/4=average

to increase x by 2 you add 2

x+2=average

(x+2+x+2+x+2+x+2)=4=(4x+8)/4=x+2

you'd have to increase the sum by 8 to make the numbers' averages' go up by 2

8 0
2 years ago
Perfect Pies charges $6 for an apple pie.
Aloiza [94]

Answer:

6 * p ≤ 30

p  ≤ 5

The maximum number of pies she can buy is 5

Step-by-step explanation:

Let p equal the number of pies she will buy

Each pie costs 6 dollars.  She will spend 6 * p

The cost must be less than or equal to 30 dollars

6 * p ≤ 30

To solve divide each side by 6

6 * p/6 ≤ 30/6

p  ≤ 5

8 0
3 years ago
Read 2 more answers
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