Find each unit price which is the better buy explain electrical wire $1.89 for 3 ft 89 for 18 in

Mathematics

1 answer:

wel3 years ago

8 0

Answer:

It all comes down to simplifying it to inches and price so id 18 in” is 0.89 cent’s thats every inch of that 18 is about 4 cents a in” and a $1.89 3 feet is about 5 cent’s

Step-by-step explanation:

So is the first would be a better deal because it is one cent cheaper!

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PROVE THAT: cos 20° - sin 20° = \sqrt{2}sin25°

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

4 0

4 years ago

Help!

yanalaym [24]

1. ,
2 is added to every x
that means it is moved to the left 2 units
D

2. so see the intersesection points
answer is C

3 0

3 years ago

Read 2 more answers

What is the value of the expression 8 1/2-2+43/4 Please hurry

Phantasy [73]

Answer:

$8\frac{1}{2}-2+\frac{43}{4}=\\ \\=\frac{17}{2}-\frac{8}{4}+\frac{43}{4}\\ \\=\frac{34}{4}-\frac{8}{4}+\frac{43}{4}\\\\=\frac{69}{4}\\ \\\ =17\frac{1}{4}$