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Vlad [161]
4 years ago
13

18. Jack played three instruments in the orchestra.

Mathematics
1 answer:
hjlf4 years ago
6 0
The least number of years Jack could have played in the orchestra is G. 5. 
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A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the
andriy [413]
Check the picture below.

\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=20\\
a=6z-1\\
b=2z+3\\
h=z
\end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2}
\\\\\\
20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1)
\\\\\\
20=4z^2+z\implies 0=4z^2+z-20

\bf \qquad \qquad \textit{quadratic formula}\\\\
\begin{array}{llccll}
0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\\\\\
z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx 
\begin{cases}
\boxed{2.1146}\\
-2.3646
\end{cases}

since the height is just a length unit, it can't be -2.3646.

4 0
3 years ago
Read 2 more answers
On a number line, what is the distance between -17 and 9 ? show your work a -26 b -8 c 8 d 26
Amanda [17]
-(-20)-(-17)--(-10)--0--9--10--20
distance would be -17 -9 which equals 26 as total distance away from each other on the number line. (answer choice D) hope this helps
8 0
3 years ago
Read 2 more answers
in a box there are 6 red, 8 green, and 10 white balls. if three balls are selected simultaneously and at random and the color is
katovenus [111]
Make them into fractions. Red=6/24 Green:8/24 White:10/24. Why is it 24 is a denominator? Because 10+8+6=24. About how many times does 3 go into 8? 2 times. Which means the Probability of green is: 2/24
3 0
4 years ago
Jamie is looking for the rate and unit rate of the following ratio below.
bezimeni [28]

Answer: in explanation

Step-by-step explanation:

Rate is simplest form, so 3 napkins for 5 cents.

Unit rate is for 1 x value, so 1 napkin for 0,6 cents.

3 0
2 years ago
7,14/5, 8/25 find the 7th term
tiny-mole [99]
I believe that would be 7
4 0
3 years ago
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