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3 years ago

At six am the temperature was -8°c at noon the temperature was 3°c what was the change in temperature between 6 am and noon

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

The temperature change from 6am to noon is 11°c

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24 is 4 times as great as Pls help

Vaselesa [24]

Answer:

6=k

Step-by-step explanation:

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3 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

What is the parallel slope intercept form?

satela [25.4K]

Answer:

slope intercept form is y=mx+b

a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1

Step-by-step explanation:

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3 years ago

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Which point is a solution to the inequality shown in this graph? (3,2) (-3,-6)

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

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3 years ago

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The sum of two consecutive even numbers is 54. Find the numbers.

Reil [10]

Hi! the numbers are 26 and 28!

26+(26+2) =54

8 0

2 years ago