MATHEMATICS HIGH SCHOOL

Describe the relationship between the lengths of yx and yw

Answers

Answer 1

Answer:

we are given

angles as

Y=27

X=92

W=62

we can use law of sines to find relationship

$(yx)/(sin(W))=(yw)/(sin(X))$

now, we can plug W and X

$(yx)/(sin(61))=(yw)/(sin(92))$

$yx=(sin(61))/(sin(92))*yw$

we can plug values

and we get

$yx=0.87515yw$ ............Answer

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Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.A.) - $0.50B.) − $1.00C.) $0D.) $0.75E.) − $0.75

Answers

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.

Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

The quotient of three and the quantity of three less than one-sixth of a number x?

Answers

$(3)/((x)/(6)-3)=(3)/((x-18)/(6))=3*(6)/(x-18)=(18)/(x-18)$
Good, right?

What the solution set (x+9)^2=169 of this quadratic equations by extracting the roots?

Answers

Answer:

x = - 22, x = 4

Step-by-step explanation:

Given

(x + 9)² = 169 ( take the square root of both sides )

x + 9 = ± $√(169)$ = ± 13 ( subtract 9 from both sides )

x = - 9 ± 13

Thus

x = - 9 - 13 = - 22

x = - 9 + 13 = 4

A=(s-2)180 solve for s

Answers

You said that    A = (s-2) 180

Divide each side by 180 : A/180    = s-2

Add 2 to each side:     A/180 + 2 = s

A = (s - 2)180

A = (s)180 - (2)180

A = 180s - 360 (add 360 to each side)

A + 360 = 180s - 360 + 360

A + 360 = 180s (divide 180 from each side)

(A + 360)/180 = s

s =

Find the measure of the central angle.the circle has a circumference of 9 and the arc length is 1. Use 3.14 for pie.

Answers

To start with we have to write down what we know. pi=3.14, r=9, arc length is 1. x is the angle we are trying to find. Saying that the radius is 9

There is an equation that states that the arc length is equal to x/360 (the fraction of the circle) multiplied by the circumference or 2 times pi times the radius.
$L= (x)/(360) * 2 \pi r$
where * means multiply.
$1= (x)/(360) * 3.14 * 9$
Simplify
$1= (x)/(360) *28.26$
Take the 28.26 over to the other side of the equation, where it then it divides the 1.
$(1)/(28.26) = (x)/(360)$
This becomes: $0.035= (x)/(360)$
Then the 360 is brought over to the other side and multiplies the 0.035:
$360*0.035=x$
And finally simplify the whole equation and we get our answer.
$x=12.739 degrees x=12.7 degrees$

106 plus what equals 180

Answers

106 plus 74 would be your answer

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