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3 years ago

Help me answer to meet any Anime you want This is 50 points explain and help answer

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

Answer:

1. >

2. <

3. >

4. <

5. <

Step-by-step explanation:

1. 2.41 is greater because -3.16 is negative and positive is always greater.

2. Positive is always greater.

3. -5/8= -0.625 and -3/4= -0.75. When working with negatives, when the number is larger, the lesser it gets; when the number is smaller, the greater is is. Which would make -5/8s greater.

4. -0.05 has a greater amount than -0.12

5. -1/2 is greater than -1/6.

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Answer:

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Step-by-step explanation:

(a)

A = $\frac{1}{2}$ × 4 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= 2 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= $\frac{10\sqrt{2} }{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

= $\frac{10\sqrt{6} }{3}$ units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4 $\sqrt{2}$ )² + ( $\frac{5}{\sqrt{3} }$ )²

= 32 + $\frac{25}{3}$

= $\frac{96}{3}$ + $\frac{25}{3}$

= $\frac{121}{3}$ ( take the square root of both sides )

h = $\sqrt{\frac{121}{3} }$ = $\frac{11}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

h = $\frac{11\sqrt{3} }{3}$

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