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3 years ago

Can sum 1 simplify these for me they are easy worth 20 pts

Mathematics

1 answer:

musickatia [10]3 years ago

6 0

Hi There!

Remember to follow PEMDAS.

Question #1:

12 - 6 ÷ 2 · 3 + 4

= 12 - 3 · 3 + 4

= 12 - 9 + 4

= 3 + 4

= 7

Question #2:

(-6/5)³

-6/5 = -1.2

= -1.2³

= -1.728 or -216/125

Question #3:

³√729

= 9

Hope This Helps :)

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Cos(x+y)/cosxcosy+tanxtany=1

adelina 88 [10]

Answer:

See explanation

Step-by-step explanation:

Use formula

$\cos (x+y)=\cos x\cos y-\sin x\sin y$

Substitute it into the first fraction:

$\dfrac{\cos (x+y)}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y-\sin x\sin y}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y}{\cos x\cos y}-\dfrac{\sin x\sin y}{\cos x\cos y}\\ \\=1-\dfrac{\sin x}{\cos x}\cdot \dfrac{\sin y}{\cos y}\\ \\=1-\tan x\tany$

Consider the whole expression:

$\dfrac{\cos (x+y)}{\cos x\cos y}+\tan x\tan y\\ \\=1-\tan x \tan y+\tan x\tan y\\ \\=1$

Done!

6 0

3 years ago

The regular price of a video game is $19.50 The store is having a 40% off sale.

Afina-wow [57]

A. The discount is 7.80 much

B. $11.7

7 0

3 years ago

A particular sound wave can be graphed using the function y = 1 sin 2x y = 1 sin 2 x . Find the amplitude of the function.

alexira [117]

<u>Answer</u>

<u>Explanation</u>

The general equation of a wave is ;

y = a sin(kX+Ф)

Where a represent the amplitude, 360/k represent the period of the wave and Ф represent the phase angle.

∴ In the equation y = 1 sin 2x,

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4 years ago

The given series has six terms. what is the sum of the terms of the series? 17 + 25 + 33 + . . . + 57

nikdorinn [45]

Sum of the terms of the series is

Sn = n/2 ( a1+an )

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3 years ago

Please help me solve !!!!!!!!!!!!!!!

Dima020 [189]

Answer:

4x - 3y = 4

-3x + 3y = -6

x = -2

-2 - y = 2

-y = 4

y = -4

(-2,-4)

5 0

4 years ago