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swat32
3 years ago
7

What is the value of tan θ if √3 cos θ - sin θ= √2?​

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Step-by-step explanation:

√3 cos θ - sin θ= √2dividing both side by 2

√3/2 cos ∅-1/2 sin∅=√2/2

sin60cos∅-cos60sin∅=1/√2

sin(60-∅)=sin(180-45)or sin45

therefore=

60-∅=135

∅=135-60=75

tan∅=tan75=3.73or 2+√3

when ∅=45

60-∅=45

∅=60-45=15

tan∅=tan15=2+√3

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Vic's favorite cookie recipe uses 250 grams of flour for every 170 grams of butter. Imani made cookies using 750 grams of flour
Viefleur [7K]

Vic's cookies having a ratio of flour to butter of 250/170 contains less

butter than Imani's cookies, 750/630, what Vic will think is therefore;

(A) Imani's cookies have too much butter

<h3>Which method can be used to evaluate the cookies?</h3>

The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams

The amount of flour Imani uses for every 630 grams of butter = 750 grams

Required:

What Vic will think about the amount of butter in Imani's cookies

Solution;

Ratio \ of \ butter \ per \ gram \ of \ flour \ in  \ Vic's \ cookies = \dfrac{170 \, g}{250 \, g} = \dfrac{17}{25} = \mathbf{0.68}

Ratio \ of \ butter \ per \ gram \ of \ flour \ in  \ Imani's\ cookies = \dfrac{630\, g}{750\, g} = \dfrac{17}{25} =  \mathbf{0.84}

Imani's cookies contains more cookies than Vic's cookies, what Vic will

think of the amount of butter in Imani's cookies is therefore;

(A) Imani's cookies have too much butter

Learn more about fractions here:

brainly.com/question/24378782

7 0
2 years ago
If you buy 5 apples for $4.50, what is the unit price?
pochemuha
The unit price would be $0.9
4 0
3 years ago
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Does anyone know these maths questions???
saveliy_v [14]

I'll do problem 12 to get you started

----------------------------------------

Part (a)

The ratio 3:6:7 means the three sides are 3x, 6x and 7x centimeters long. The x is some positive real number.

The longest side is 7x, which is also 16.1, so 7x = 16.1

Divide both sides by 7 to isolate x

7x = 16.1

7x/7 = 16.1/7

x = 2.3

Now we can calculate the other two sides

3x = 3*2.3 = 6.9

6x = 6*2.3 = 13.8

<h3>The other two sides are 6.9 cm and 13.8 cm</h3>

----------------------------------------

Part (b)

Add up the three sides to get

6.9 + 13.8 + 16.1 = 36.8

<h3>The perimeter is 36.8 cm.</h3>

3 0
3 years ago
Help plz I need this answer
meriva
The y-intercept is (0, 2). Only choices C and D will give that value. Of those, choice C is a decreasing exponential, while choice D is an increasing one (as shown in the graph).

The best selection is
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4 0
3 years ago
Helps plapslplspaspasla its due tomarrow
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