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Vesnalui [34]
3 years ago
6

David is currently listening to CD 3.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:144 degrees

288 degrees

Step-by-step explanation:

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Find the real or imaginary solutions of each equation by factoring
anyanavicka [17]
Sum of  2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
for x²-4x+16=0
x=\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}
x=\frac{4+/- \sqrt{16-64} }{2}
x=\frac{4+/- \sqrt{-48} }{2}
x=\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}
x=\frac{4+/- (i)(4\sqrt{3}) }{2}
x=2+/- 2i\sqrt{3}


the roots are
x=-4 and 2+2i√3 and 2-2i√3
8 0
3 years ago
What is the exact volume of a sphere that has a radius of 9.6 m?<br><br> <img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexF
Evgesh-ka [11]
<span>We have to find the volume of the sphere that has a radius of 9.6 m. The formula for the volume of the sphere is: V = 4/3 r^3 Pi. ( r = 9.6 m, Pi = 3.14 ) V = 4/3 * 9.6^3 * 3.14; V = 4/3 * 884.736 * 3.14; V = 3,705.97349m^3 ( when the number Pi is more accurate ). Answer: The exact volume of the sphere is 3,704.97349 m^3.</span>
4 0
3 years ago
Matt, the coordinator at the local emergency food hamper program, noticed the following trends: typically 200 hampers were distr
photoshop1234 [79]

Answer:

<em>793 food hampers were distributed</em>

Step-by-step explanation:

We need to find how many food hampers were distributed in a typical week, knowing that  

  • 200 hampers were distributed on Mondays

40 fewer hampers were distributed on Tuesdays than on Mondays, thus:

  • 160 hampers were distributed on Tuesdays

on Wednesdays, the volume is 1.3 times Tuesday’s volume, thus  160*1.3=

  • 208 hampers were distributed on Wednesdays

on Thursdays the number of hampers distributed was 3/4 of Monday’s volume, thus  3/4*200=

  • 150 hampers were distributed on Thursdays

on Fridays, 50% of Thursday’s volume was distributed, therefore  50%*150=

  • 75 hampers were distributed on Fridays

The total number of food hampers distributed in the week is

200+160+208+150+75=793

793 food hampers were distributed

4 0
3 years ago
Solve: 8x - 14 = 10 - 4x
Stels [109]

Answer:

X=2

Step-by-step explanation:

8 0
3 years ago
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What is a compass used for?
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1. Measure and angle in degree
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