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forsale [732]
3 years ago
9

24) sin x = 1/3 Find cos x.

Mathematics
2 answers:
Maru [420]3 years ago
8 0

Answer:

cos(x) =\±2\frac{\sqrt{2}}{3}

Step-by-step explanation:

We know that sen(x) =\frac{1}{3}

Remember the following trigonometric identities

cos ^ 2(x) = 1-sin ^ 2(x)

Use this identity to find the value of cosx.

If sen(x) =\frac{1}{3} then:

cos ^ 2(x) = 1-(\frac{1}{3})^2

cos ^ 2(x) =\frac{8}{9}

cos(x) =\±\sqrt{\frac{8}{9}}

cos(x) =\±2\frac{\sqrt{2}}{3}

liq [111]3 years ago
6 0

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

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Andrew
PilotLPTM [1.2K]
Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

so, after 1 day then, they have only done 1/7 of the whole work.

and Andrew for one day, has done 1/a of the house, whilst Bailey has done 1/b of the house or 1/(6a).

\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
\\\\\\
\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
denominators
\end{array}

\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
\\\\\\
\stackrel{days}{8\frac{1}{6}}=a
\\\\\\
\textit{how many days will it take Bailey then?}\quad b=6a
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b=6\cdot \cfrac{49}{6}\implies b=\stackrel{days}{49}
6 0
3 years ago
The eagles had a record of 16 wins and 12 loses. What was the ratio of wins to losses?
nata0808 [166]

Answer:

16/12  or 4/3

Math

6 0
2 years ago
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality
Dmitriy789 [7]

Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack

number of packs of regular cards =r and the number of packs of foll cards = f

Cost of Regular card = 3.50

Cost of 'r' packs of regular card = 3.50r

Cost of Foil card = 4.50

Cost of 'f' packs of Foil card = 4.50f

Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20

The inequality becomes

3.50r + 4.50f <= 20

3 0
3 years ago
Help me plzzz I need area and perimeter
Alexeev081 [22]

Answer:

Area = 37.5

Perimeter = 36

Step-by-step explanation:

Have a good day! :)

5 0
3 years ago
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A college student takes the same number of credits each semester. She had 15 credits when she started, and after 4 semesters, sh
allochka39001 [22]

Answer:

f(x)= 4(x)+15=71

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Step-by-step explanation:

to find "x" you could do this

71-15=56 then 56/4=14  , x=14

7 0
3 years ago
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