What are the sine, cosine, and tangent of 5 pi over 4 radians? sin θ = square root 2 over 2; cos θ = negative square root 2 over 2; tan θ = −1 sin θ = negative square root 2 over 2; cos θ = negative square root 2 over 2; tan θ = 1 sin θ = square root 2 over 2; cos θ = negative square root 2 over 2; tan θ = 1 sin θ = negative square root 2 over 2; cos θ = square root 2 over 2; tan θ = −1

Answers

Answer 1

Answer: Note that we can draw the angle $\displaystyle{ 5( \pi )/(4)$ by adding 5 $( \pi)/(4)$ 's, as shown in the picture showing the unit circle.

Let the coordinates of $\displaystyle{ 5( \pi )/(4)$ be (-a, -b) , then its reflection in the first quadrant is the angle $( \pi)/(4)$ (45°) with coordinates (a, b).

We know that $\displaystyle{ a= ( √(2) )/(2), \ b= ( √(2) )/(2)$ , thus the coordinates (-a, -b) which are the cosine and sine of $\displaystyle{ 5( \pi )/(4)$ respectively, are:

$\displaystyle{ a= ( -√(2) )/(2), \ b= ( -√(2) )/(2)$ .

From the identity tan(x)=sin(x)/cos(x), we easily see that the tangent is 1.

Answer:

$\displaystyle{ cos:( -√(2) )/(2), \ sin= ( -√(2) )/(2) \ tan: 1$ .

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Find the length of the unknown side. Round your answer to the nearest tenth.O 16.5
O 17.5
O 18.5
O 22.0

Answers

17.5

Explanation:

So if we use the formula a^2+b^2=c^2

We would fill it in as 4^2+b^2=18^2
Then solve

16+b^2= 324

Then subtract 16 from both sides

B^2 = 308

Then you find the square root of 308

17.5

Solve by elimination
8x+9y=-55
-8x+y=65

Answers

8x+9y=-55
-8x+y=65 (+)

10y=10 /:10

y=1

-8x+1=65

-8x=64 /:(-8)

x=-8

1. Add the 2 systems and get 10y = 10.
2. Divide both sides by 10 so you get y = 1.
3. Substitute that in either equation (I'm going to use the 2nd equation).
4. -8x + 1 = 65.
5. Subtract 1 from each side.
6. -8x = 64.
7. Divide by -8 on both sides.
8. x = -8.
9. Check in the other equation.
10. 8(-8) + 9(1) ?= -55
11. -64 + 9 ?= -55
12. -55 = -55

A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1

Answers

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2

Claire has $300 in her account she decided she is going to take out half of what is left in there at the end of each month

Answers

300 divided by two is 150 so your answer would be 150 dollars

What is the value of st ÷ (6r) if r = 5, s = 32, and t = 45?

Answers

Answer: The answer is 48.

Step-by-step explanation: The given expression is

$E=st/6r.$

we are given to solve the above expression is the value of r is 5, the value of s is 32 and the value of t is 45.

The solution is as follows:

$E\n\n=st/6t\n\n=(st)/(6r)\n\n=(32* 45)/(6* 5)\n\n=16* 3\n\n=48.$

Thus, the required value is 48.

st ÷ 6r
(32)(45) ÷ 6(5)
1440 ÷ 30
48

What is 0.121212 expressed as the quotient of two integers in simplest form?

Answers

4/33

the way i do it, is i want 12 to be recurring, so i do 12/100, then i take away one from the denominator, so i get 12/99 = 0.121212.....

similarly, if i wanted 0.123123123,

i could do 123/1000 then take away one from the denominator to get 123/999 and that should give us 0.123123123123

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