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Gnom [1K]
3 years ago
10

A circle with area of 81 pi has a sector with central angle of 120 degrees

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

Find the arc length.

532.95863765

Step-by-step explanation:

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Eric has a total of 31 coins in his collection. This is seven more than six times the number of quarters in the collection. How
Marrrta [24]

Answer:

Eric has 4 quarters

Step-by-step explanation:

31-7=24

24/6=4

8 0
4 years ago
3-4z = -5+8z Can someone help?
noname [10]
3-4z=-5+8z

Add 5 to both sides

8-4z=8z

Add 4z to both sides

8=12z

Divide both sides by 12

z=12/8

Simplify

z=3/2
3 0
3 years ago
Read 2 more answers
Solve the system of equations algebraically.
nordsb [41]

Answer: D

Step-by-step explanation:

4x-3y=8\\5x-4y=5

Let's take one of the equations and solve for a variable to use the substitution method.

5x-4y=5\\5x=5+4y\\x=\frac{5+4y}{5}

Now replace this in the first equation.

4x-3y=8\\4(\frac{5+4y}{5})-3y=8\\\frac{20+16y}{5}-3y=8

Separate the terms.

\frac{20}{5}+\frac{16y}{5}-3y=8

Solve 20/5

4+\frac{16y}{5}-3y=8

Subtract 4 from both sides to isolate y.

4-4+\frac{16y}{5}-3y=8-4

\frac{16}{5}y-3y=4

Solve the difference.

\frac{16-(3)(5)}{5}y=4\\

\frac{16-15}{5} y=4

\frac{1}{5}y=4

Multiply by the reciprocal or the inverted fraction that is next to y to isolate it.

(\frac{5}{1} )(\frac{1}{5})y=4(\frac{5}{1})

y=20

Now, in order to find x, replace y in any of the two equations.

5x-4y=5\\5x-4(20)=5\\5x-80=5\\5x=5+80\\5x=85\\x=\frac{85}{5}\\x=17

7 0
3 years ago
Suppose you own a car that gets 35 miles per
SSSSS [86.1K]

Answer:

$30

Step-by-step explanation:

840/35 = 24 gallons

24*1.25 = 30 dollars

7 0
2 years ago
Please help I am so lost; help is much appreciated
netineya [11]
\bf \cfrac{x^3+5x^2+3x-10}{x+4}\impliedby x+4=0\implies x=\stackrel{our~divisor}{-4}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrrrr}
-4&&1&5&3&-10\\
&&&-4&-4&4\\
--&&--&--&--&--\\
&&1&1&-1&\boxed{-6}&\leftarrow remainder
\end{array}
\\\\\\
1x^2+1x^1-1+\frac{-6}{x+4}\implies x^2+x-1+\frac{-6}{x+4}
6 0
3 years ago
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