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3 years ago

6

At the grocery store, you buy a carton of milk for $1.95, a loaf of bread for $0.85, and a box of cereal for $2.05. Use mental m

ath to find the total cost of the groceries.

1 answer:

Zinaida [17]3 years ago

6 0

The total should come to $4.85.

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Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

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

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

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

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

If we apply the identities into our equation (1) we got:

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

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

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

And simplifying we got:

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

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

3 years ago

I don't understand help please :(

Sonbull [250]

This means that 10% of the total number of chickens Cam has is 11. If 10% of a number is 11, 100% of the chickens should be 110.

7 0

3 years ago

if i measure a hypotenuse and i get 11 and then i double check my work by doing the a squared + b squared = c squared method and

RoseWind [281]

Hi there!

Sometimes, like you said, you might don't get the exact answer when you justified your answer. In this case, you need to take the nearest number. So if you got 11 then 12 is the nearest number, just go for it.

Or go back and start over and see if you didn't miss anything.

I hope this helps!

5 0

3 years ago

25+ POINTS WILL MARK BRAINLIEST

Katen [24]

Answer:

Point A = (-6,0)

Point B = (0,4)

7 0

3 years ago

Read 2 more answers

Find each of these values.

podryga [215]

$192=4\cdot41+28\iff192\equiv28\pmod{41}$
$28=3\cdot9+1\iff28\equiv1\pmod9$

$323=24\cdot13+11\iff323\equiv11\pmod{13}$
$11^2\equiv0\pmod{11}$

$73=3\cdot23+4\iff73\equiv4\pmod{23}$
$4^2\equiv16\pmod{31}$

$212=14\cdot15+2\iff212\equiv2\pmod{15}$
$2^3\equiv8\pmod{22}$

4 0

3 years ago