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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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What is the length of leg s of the triangle below?
vekshin1

Answer:

4 units

Step-by-step explanation:

Let ABC be isosceles right angled ∆ right angled at B

By Pythagoras theorem,

AC² = AB² + BC²

(√32)² = 4² + s²

32 = 16 + s²

s² = 32 - 16

s² = 16

s = √16

s = 4 units.

Therefore s = 4 units

Hope it helps...

6 0
3 years ago
The Kings Dominion Gold Pass costs $89. If you buy it the first week of
Eddi Din [679]

Answer:

$75.65

Step-by-step explanation:

1 - .15 = .85 = 85% of the price is what you pay

89 • .85 = $75.65

7 0
3 years ago
What is the smallest and largest perimeter of a polygon with an area of 20?
DENIUS [597]

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

4 0
3 years ago
The number p is 20 more than the number q using algerbra, writee the relationship between p and q
irga5000 [103]
q + 20 = p

Since the number p is 20 more than the number q, you would put it in an equation to identify the relationship between these numbers. 20 plus q makes p.
5 0
3 years ago
HELPPPPPPPPPPPPPP PLEASE
alukav5142 [94]

Answer:

H

Step-by-step explanation:

educated guess

5 0
3 years ago
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