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Dimas [21]
3 years ago
10

Work out ( 4 × 10 6 ) × ( 2 × 10 7 ) Give your answer in standard form.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

8 × 10¹³

Step-by-step explanation:

=> (4*10^6)*(2*10^7)

=> (4*2)*(10^6*10^7)

<u><em>When bases are same, powers are to be added.</em></u>

=> 8 × 10 ⁶⁺⁷

=> 8 × 10¹³

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Solve this identity, where the angles involved are acute angles.
Bas_tet [7]

We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)

<h3>How to solve Trigonometric Identities?</h3>

We want to prove the trigonometric identity;

[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ

The left hand side can be expressed as;

[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]

⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]

Taking the LCM and multiplying gives;

(tan³θ - 1)/(tanθ(tanθ - 1))

This can also be expressed as;

(tan³θ - 1³)/(tanθ(tanθ - 1))

By expansion of algebra this gives;

[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]

Solving Further gives;

(sec²θ + tanθ)/tanθ

⇒ sec²θ * cotθ + 1

⇒ (1/cos²θ * cos θ/sin θ) + 1

⇒ (1/cos θ * 1/sin θ) + 1

⇒ 1 + (secθ * cosec θ)

Read more about Trigonometric Identities at; brainly.com/question/7331447

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3 0
2 years ago
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Free brainliest and extra points here!!<br><br> Who's is your bias from EXO and ATEEZ?
grandymaker [24]

Answer:

I dont really listen to EXO (i need to !!) but from ATEEZ my bias is san and my bias wrecker is mingi

4 0
2 years ago
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charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to
Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

5 0
3 years ago
Pleaseeeeee help I’m so confused
SSSSS [86.1K]

Answer:

4747

Step-by-step explanation:

8 0
3 years ago
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Which one is this please answer it and get thanks from me if ur right
mote1985 [20]

♡ The Question ♡

- Which of the following is equivalent to the power shown below? 8^4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ The Answer ☆

- Your answer should be C!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ Tips ☆

- No tips provided!

4 0
2 years ago
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