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2 years ago

Go step by step to reduce the radical. √ 128 √16 • √8 8 √2 8 √4 • √2

Mathematics

1 answer:

dangina [55]2 years ago

3 0

I think its 8×4√16

Explenation:

√128 = 11.3

√16×√8=6.3

8√2= 11.3

so i think you see the patern there and the answer should be 11.3 or 6.3

8√4×√2= 19

19÷2=9.5

9.5÷2=4.75

since 5 is too big to put in the equation and equal 128 then its 4.

To find the second one just do 4², which is 16

So yeah 8×4√16

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Why can you rewrite 4.7 as 4.70

N76 [4]

Because 4.7 is the "abbreviation" for 4.70 also 4.7 is the simplified version of 4.70 kind of like a fraction you 4 70/100 simplified is 4 7/10 or 4.7.

3 0

3 years ago

Read 2 more answers

Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

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5 0

1 year ago

Help please :)

Veronika [31]

Answer

500

Step-by-step explanation:

If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.

The way to solve this is if you put it into a proportion.

5/100 = 25/x

5x = (100)(25)

5x = 2500

5x/5 = 2500/5

x = 500

5/100=25/500

8 0

3 years ago

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Dennis_Churaev [7]

Answer:

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Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

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3 years ago

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sweet-ann [11.9K]

Answer:

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Step-by-step explanation:

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3 years ago