Complete this equation Sin(x+y)/sin(x-y)=

Answer:

x=6/cos 45=6√2

x=6√2

tan 45=y/6

y=tan45 ×6

y=6

2.

sin 60=y/10

y=sin60×10

y=5√3

again

Cos 60=x/10

x=½×10

x=5

3.

Sin 45=x/5

x=1/√2×5 or

x=5√2/2

again

y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]

4.

Sin 30=8/x

½×x=8

x=8*2

x=16

again

cos 30= y/x

√3/2×16=y

y=8√3

5.

sin 60=7/x

x=7/[√3/2]

x=14/√3 or 14√3/3

again

cos 60=y/x

½×14√3/3=y

7√3/2=y

y=7√3/2

Note:

Sin angle =perpendicular/hypotenuse

Cos angle =base/hypotenuse

Tan angle =perpendicular /base

Answer:

3.6 dollars

Step-by-step explanation:

Lets go over what we know:

Each ounce of penut butter cost 0.2$, or 1/5$

We need 18 ounces.

To solve this, lets multiply the cost per ounce by the amount of ounces:

0.2*18

Or

1/5*18

=

18/5

This can be simplfied into:

3 3/5

We know each 1/5 is 20 cents(0.2), so 3 cents would be 3*0.2 = 0.6:

3.6 dollars

So the answer is for 18 ounces, it cost 3.6 dollars.

Hope this helps!

Answer:

12 months

Step-by-step explanation:

Theres an awful amount of needless information to get through.

Only the last paragrph is needed.

C(t) = 180 + 10t

C(t) = 25t

Set the equations equal

25t = 180 + 10t

Subtract 10t from both sides

15t = 180

Divide both sides by 15

t = 12

Answer:

12 months

Step-by-step explanation:

edg 2022

Step-by-step explanation:

(x−1)²−9=0

(x-1)²= 9

x-1 = ±√9

x-1 = ±3

x = 1-3=-2 or x=1+3=4

the solution = {-2,4}

Answer:

0.1 8 17

Step-by-step explanation:

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Answer:

A.y=2

Step-by-step explanation:

y=2/3*9-4

y=18/3-4

y=6-4

y=2

Answer:

About 6.32 hours.

Step-by-step explanation:

P= production

t=# of hours needed

How many hours are needed to reach the production level of 400?

Plug the numbers into the formula given.

400=300+50 ( t-10 squared)

Combine like terms-  400=350 (t-10 squared)

subtract 350 from itself, then do the same to the other side.

400-350=350-350(t=-10 squared)

50= (t-10squared)

50-10= 40 squared

40 squared= about 6.32.

Hope this helps! Have a nice day :)

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

Answer:

5.

x=14

6.

x=6

more details look it at attachment.

Answer:

      2r+7/6

Step-by-step explanation:

Answer:

2r +7/6

Step-by-step explanation:

See the steps below:)

Answer:

21 and 16

Step-by-step explanation:

x= big number

x`-5 = small number

x + x-5 = 37

2x-5 =37

2x= 42

x = 21

       21-5 = 16

21+16 = 37

Answer:

Hope this helps! have a good day. :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−2)=2(x−3)

(3)(x)+(3)(−2)=(2)(x)+(2)(−3)(Distribute)

3x+−6=2x+−6

3x−6=2x−6

Step 2: Subtract 2x from both sides.

3x−6−2x=2x−6−2x

x−6=−6

Step 3: Add 6 to both sides.

x−6+6=−6+6

x=0

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is

y=0.

Answer:

18s+369>573

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

A = 3.14 × 3² = 3.14 × 9 = 28.26 cm²

Answer:

[tex]area \ of circle = \pi r^{2} = 9\pi \ cm^{2} = 28.27cm^{2}[/tex]

Answer:

9/2

Step-by-step explanation:

2(3x - 1) = 25

6x - 2 = 25

6x = 27

x = 9/2

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

Answer:

Perpendicular: 4, Parallel: -1/4

Step-by-step explanation:

The slope of a line perpendicular to the given line is the opposite inverse of the slope to the line.

First write the equation of the line in slope-intercept form

-x-4y=7

-4y=x+7

y=-(1/4)x-7/4;

The slope to the line is -1/4; Now find the slope of the perpendicular line;

-(-1/4)^-1 = 4

4

The slope of a line parallel to a line is the same as the given slope;

when we calculated the given slope, it was -1/4

The slope of the line parallel to this line is also -1/4

-1/4

(B) x = 40

Step-by-step explanation:

4x + 20 = 180

4x = 160

x = 40

Answer:

B. 40

Step-by-step explanation:

This is a straight angle; this means that 20 and 4x are supplementary angles.

SUPPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 180°.

[tex]20 + 4x = 180.[/tex]

First, subtract 20 from 180 and from 20.

[tex]20 - 20 = 0[/tex] (cancels itself out).

[tex]180 - 20 = 60.[/tex]

Now we are left with 4x = 160.

Lastly, divide 160 from 4.

[tex]160/4 = 40.[/tex]

Therefore, the value of x is 40.

Here's an attachment to make this process easier to understand.

Answer:

The answer for x is 80°

Step-by-step explanation:

60°+40°+x=180°

X=180°-60°-40°

X=80°

Answer:

n=-12

Step-by-step explanation:

Answer:

1 m

Step-by-step explanation:

To find the volume of a rectangular prism, multiply length x width x height

[tex](6.8)(4.4)j=29.92\\29.92j=29.92\\j=1[/tex]

Answer:

Scatterplot 2

Step-by-step explanation:

SP1: All a straight line with equation of y=3 except for 1 point.

SP2: All points are on the line of y=2x-1

SP3: The trend line is y=2x-1, however, a lot of points aren't on it

SP4: Same as SP3, but there is an additional outlier at x=1.8

SP2 looks to be the strongest correlation based on these descriptions.

Answer:

The second picture.

Step-by-step explanation:

Answer:

2.5d

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3. {52, 60, 67, 81, 89}

Step-by-step explanation:

Answer:

circumference = 3.14×12.4

circumference =38.936