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Jet001 [13]
3 years ago
15

Prove a/b is less than b/a when 0 < a <b

Mathematics
1 answer:
enyata [817]3 years ago
7 0

\frac{a}{b} < \frac{b}{a} \implies \\ a^2 < b^2 \implies a-b

We are given that 0<a<b, which means that 0>-a>-b if you multiply it by -1, which means what's given by our inequality is true and we are done.

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3 0
2 years ago
Find the value of the following expression below 8(15-4)/4^2-5
Sonja [21]

Answer:

The correct answer is 1/2 or 0.5

Step-by-step explanation:


8(15-4)/4^2-5

8(11)/4^2-5

Now i'm going to multiply 8 by 11

88/4^2-5

Now solve 4^2

Which is 16.

Now we have 88/16-5

Divide 88 and 16 which is 5.5.

Now minus 5.5 - 5 which gets us our answer: 0.5


6 0
3 years ago
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m squar
oee [108]

The area enclosed by the figure is 4533.48 square meters.

<u>Step-by-step explanation:</u>

Side length of the square = 42m

The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.

Radius of the semicircle = 21m

Area of the square = 42 x 42 = 1764 square meters

Area of 1 semicircle = π(21 x 21) /2

= (3.14) (441) /2

= 1384.74/2

= 692.37 square meters

Area of 4 semicircle = 4 x 692.37

= 2769.48 square meters

Total area = 1764 + 2769.48

= 4533.48 square meters

The area enclosed by the figure is 4533.48 square meters.

7 0
2 years ago
A certain alloy contains 5.25% copper. How much copper is there I a piece weighing 200 pounds?
kykrilka [37]
Find 5.25% of 200
remember
1% of 100=1
therefor
1% of 200=2
just remove the decimal and double it (for this special case of finding percent of 200)

5.25% of 200=5.25 times 2=10.5
answer is 10.5 pounds of copper
(the legit way is 0.0525 times 200=10.5 pound)


10.5lb is answer
4 0
3 years ago
Read 2 more answers
How many times does 79 go though 640?
irakobra [83]
640/79=8...8
79 goes through 640 8 times
8 0
3 years ago
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