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3 years ago

R 3.5 Mellom hvilke to hele tall ligger kvadratroten til a) 35 b) 67 c) 93

Mathematics

1 answer:

NikAS [45]3 years ago

7 0

Answer:

a) 5, 6

b) 8, 9

c) 9, 10

Step-by-step explanation:

It is useful to know the squares of small integers:

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

Then the problem becomes one of identifying the perfect squares the given number lies between

a) 25 < 35 < 36 ⇒ 5 < √35 < 6

b) 64 < 67 < 81 ⇒ 8 < √67 < 9

c) 81 < 93 < 100 ⇒ 9 < √93 < 10

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2 years ago

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dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

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$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

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step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

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simplify

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therefore

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step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

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substitute

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8 0

3 years ago