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3 years ago

Which of the following is written in scientific notation correctly?

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

Answer:

The answer is B.thus 7.4*10^9

Step-by-step explanation:

This is because,in scientific notation, we deal with numbers which are in the standard form

And from alt A-D , only the alt B is in the standard form. the rest are not in the standard form hence cannot be considered them as written In scientific notation.

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Tan^2 A/1+cot^2 A + cot^2 A/1+tan^2 A=sec^2 A cosec^2 A-3

omeli [17]

$\frac{tan^2x}{1+cot^2x}+\frac{cot^2x}{1+tan^2x}=sec^2x\ cosec^2x-3\\\\L=\frac{tan^2x(1+tan^2x)+cot^2x(1+cot^2x)}{(1+cot^2x)(1+tan^2x)}=\frac{tan^2x+tan^4x+cot^2x+cot^4x}{1+tan^2x+cot^2x+tanxcotx}\\\\=\frac{tan^2x+cot^2x+tan^4x+cot^4x}{1+tan^2x+cot^2x+1}=\frac{tan^2x+2+cot^2x+tan^4x-2+cot^4x}{tan^2x+cot^2x+2}$

$=\frac{(tanx+cotx)^2+(tan^2x-cot^2x)^2}{(tanx+cotx)^2}=\frac{(tanx+cotx)^2}{(tanx+cotx)^2}+\frac{(tan^2x-cot^2x)^2}{(tanx+cotx)^2}\\\\=1+\frac{(tanx-cotx)^2(tanx+cotx)^2}{(tanx+cotx)^2}=1+(tanx-cotx)^2\\\\=1+tan^2x-2tanx\ cotx+cot^2x=tan^2x+cot^2x+1-2\\\\=\left(\frac{sinx}{cosx}\right)^2+\left(\frac{cosx}{sinx}\right)^2-1=\frac{sin^2x}{cos^2x}+\frac{cos^2x}{sin^2x}-1=\frac{sin^4x+cos^4x}{sin^2x\ cos^2x}-1$

$=\frac{(sin^2x)^2+2sin^2x\ cos^2x+(cos^2x)^2-2sin^2x\ cos^2x}{sin^2x\ cos^2x}-1\\\\=\frac{(sin^2x+cos^2x)^2-2sin^2x\ cos^2x}{sin^2x\ cos^2x}-1=\frac{1^2-2sin^2x\ cos^2x}{sin^2x\ cos^2x}-1\\\\=\frac{1}{sin^2x\ cos^2x}-\frac{2sin^2x\ cos^2x}{sin^2x\ cos^2x}-1=\frac{1}{sin^2x}\cdot\frac{1}{cos^2x}-2-1\\\\=cosec^2x\cdot sec^2x-3=sec^2x\ cosec^2x-3=R$

3 0

3 years ago

Check For Understanding

adelina 88 [10]

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

8 0

2 years ago

Pick out the prime numbers from the following numbers 16. 13. 19.27.54.51.2, 73. 87.89

Marrrta [24]

Answer:

13, 19, 73, 89

Step-by-step explanation:

Prime numbers only have two factors, 1 and itself.

6 0

3 years ago

Read 2 more answers

Kenny wants to grow tomatoes and herbs so he can make his own fresh pizza sauce. Kenny's planter box is seven feet long and four

Studentka2010 [4]

Answer: 56

Step-by-step explanation: LxWxH

Or 7x4x2

4 0

2 years ago

Two planes start from los angeles international airport and fly in opposite directions. the second plane starts 1/2 hour after t

mixer [17]

Let x = first plane's speed.
We have the equation:
2 hours * x km/h + 1.5 hours * (x+60) km/h = 3135 km.
3.5 hours*x km/h + 90 km = 3135km
3.5hours*x km/h = 3045km
x = 870 km/h.
The first plane is traveling at 870 km/h, therefore since it is 60 km/h faster, the second plane is traveling at 930 km/h.

6 0

3 years ago