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Aliun [14]
3 years ago
13

Cos(x)= 40/41 and x lies in Q4. Find sin(x)

Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

sinx =-9/41

Step-by-step explanation:

cos x= adjacent/hypotenuse = 40/41

sin x = opposite/ hypotenuse = x/41

how do we find o? pythagorean theorem

o²=41² -40²

0= + or - 9

Now is 9 negative or positive?

well since the graph is in quadrant 4, according to CAST Rule, Sin will always be negative

therefore o =-9

sinx = -9/41

notka56 [123]3 years ago
4 0

Step-by-step explanation:

\sin(x)  =  \sqrt{1 -  {cos}^{2}x }

\sin(x ) =   \sqrt{1 -  { (\frac{40}{41} )}^{2} }

\sin(x)  =  \sqrt{ \frac{1681 - 1600}{1681} }  =  \sqrt{ \frac{81}{1681} }

sin(x)=±9/41

As x lies in Quadrant 4 , sin(x) = -9/41

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Sarah completed about 85% of her school homework. Her friend Emily completed x percent homework more than Sarah. Which expressio
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

85-x=100

85 represents sarah's hw

x represent Emily's hw

100 represents total completion

8 0
3 years ago
Read 2 more answers
Solve for x in the diagram below.
Ghella [55]

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

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6 0
3 years ago
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Please help me on this math question?
Whitepunk [10]
M=30° because the right angle and 60 degree angle equal 150 and 180 (degrees in a triangle) minus 150 is 30

n=50° because 40 plus the right angle is 130 then the difference between that and 180 is 50 then n is the vertex angle of the one you found

t=98° because answer n plus the other part to the straight angle including the 112° angle is 68 then the total angle turns to 118 then the final angle turns to 62 via earlier reasoning, then because of another straight angle t=98

use the earlier reasoning to fine the other answers of

p=71°
q=39°

use the angle degrees formula to get Pentagon's maximum angles then use earlier resources

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5 0
3 years ago
if the sum of a number and nine is doubled, the result is seven less than the number. find the number.
avanturin [10]
X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7

We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
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answer: the number would be:  -25.
3 0
2 years ago
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Snowcat [4.5K]

Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

adjacent angles add up to 180 degrees (supplementary angles)

Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

4 0
3 years ago
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