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ELEN [110]
3 years ago
5

Garbage generated in one area is 6.259 * 10 to the tenth power. The countries population is 3.43* 10 to the seventh power. What

is the amount of garbage per person
Mathematics
1 answer:
Alex3 years ago
4 0
(6.259 x 10^10)/3.43 x 10^3)
Divide the 6.259 by 3.43 and get 1.82
Divide 10^10 by 10^7 and get 10^3
So the answer is
1.82 x 10^3
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Find the unknown side length. Write your answer in simplest radical form.
Eva8 [605]

Answer: 1. x= 20 units,   2. x= 5\sqrt{3} units    3. x= 4\sqrt{2} units.

Step-by-step explanation:

In a right triangle,

Hypotenuse^2= Perpendicular^2+Base^2  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}

5 0
3 years ago
What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft?
patriot [66]
We know, Volume of a Cylinder = πr²h
Here, r= 6 & h = 2

Substitute their values into the expression:
V = 3.14 * (6)² * 2
V = 3.14 * 36 * 2
V = 3.14 * 72
V = 226.08

In short, Your Answer would be 226.08 Ft³

Hope this helps!
5 0
3 years ago
Given: m∠AEB = 45° ∠AEC is a right angle. Prove: bisects ∠AEC.
Musya8 [376]
If angle AEC is 90° and angle AEB bisects it and is 45° that right there proves that angle AEB bisects angle AEC
5 0
4 years ago
Indicate whether the measures 11, 12, and 20 can be the side lengths of a triangle. If they can, classify the triangle.
IrinaVladis [17]

Answer:

Its obtuse

Step-by-step explanation:

one angel is above 90 degrees.

4 0
3 years ago
1 and 2 form a linear pair. If the
natka813 [3]

Angles that form a linear pair add up to 180 degrees.

If the measure of angle 1 is 113, then all we must do is subtract:

180-113=67 degrees

And we're done!

Good luck! :)

Hope it helps you!

GraceRosalia ✺                    ✺                      ✺          ✺              ✺             ✺          ✺

8 0
3 years ago
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