s is inversely proportional to t . When s = 0.6 , t = 5 Work out s when t = 0.3

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

This linear equation has 1 answer. It can be found by working backward through the operations that are performed on the variable. Those are ...

We can "undo" the last of these by adding 2 to both sides of the equation.

  3(x +4) = 18

Undo the multiplication by 3 by dividing both sides by 3.

  x +4 = 6

Undo the addition of 4 by adding -4.

  x = 2 . . . . . the solution

__

Check

Put 2 in the equation where x is and see if it is true.

  3(2 +4) -2 = 16

  3(6) -2 = 16

  18 -2 = 16 . . . . . true

Answer:

Step-by-step explanation:

X/200 x10/100 = 20

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in right Δ JKL and exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{8\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2JL = 8[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

JL = 4[tex]\sqrt{2}[/tex]

---------------------------------------------------------------

Using the sine ratio in Δ JLM and exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{ML}{JL}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4

Answer:

4

Step-by-step explanation:

When explaining my solution I will assume that you know SOH CAH TOA. If you don't leave a comment below and I will explain it

We know the line KL and angle K which is enough to get the rest of the lenghts of this triangle

Using CAH we have

Cos30=x/8sqrt2

solve for x and get

8sqrt2Cos30=x

Put this into your calculator and get that line KJ= 9.7979

With this we can solve for the rest of the trinagle using a^2+b^2=c^2

So we have

9.7979^2+LJ^2=(8sqrt2)^2

Compute what you can and get x by itself to get

LJ^2=32

LJ=sqrt32 which is 5.6568

Now that we know the length of line LJ we can solve the second part of the triange.

Knowing that the hypotonous is equal to 5.6568 and angle j=45 we can use SOH

we have

sin45=x/5.6568

Solve this and get

5.6568sin45=4

x=4

Answer:

iurecusnsdjdsks

Step-by-step explanation:

xjbdhs zxj  xzjnxnj xjkaszklaslkx

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

Shelby's total earnings will be the sum of the amount she has earned and the amount she can earn working h hours. That latter amount is 25h, since she makes $25 per hour. She wants that total to be at least $2000.

  75 + 25h ≥ 2000

Dividing by 25 gives ...

  3 +h ≥ 80

subtracting 3, we have ...

  h ≥ 77

These match options B and C of your list.

Answer:

30[tex]\pi[/tex] or 94.2 feet

Step-by-step explanation:

Use the area formula to find the radius:

A = [tex]\pi[/tex]r²

706.5 = 3.14r²

225 = r²

15 = r

Then, find the circumference using the formula:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](15)

C = 30[tex]\pi[/tex]

So, the circumference of the garden is 30[tex]\pi[/tex] or approximately 94.2 feet

Answer:

about 463 minutes or 7.7 hours

Step-by-step explanation:

area=length*width

4.75ft*3.25ft=15.4375ft^2

Now multiply 15.4375*30 to get 463.125 minutes

Answer:

congruent and similar

Step-by-step explanation:

Maybe not sure

Answer:

92

Step-by-step explanation:

1,374 ÷ 15 = 91.6

you can't have .6 of a box so you add an extra one to make 92

Answer:

Option A

Step-by-step explanation:

Central angle of the pentagon = [tex]\frac{360}{\text{Number of sides of the regular polygon}}[/tex]

                                                   = [tex]\frac{360}{5}[/tex]

                                                   = 72°

Measure of ∠BAC = 72°

Therefore, measure of ∠BAD = [tex]\frac{72}{2}[/tex]

                                                 = 36°

By sine rule in ΔABD,

sin(36°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{BD}{AB}[/tex]

            = [tex]\frac{BD}{14}[/tex]

BD = 14(sin36°)

     = 8.23 mm

Similarly, by cosine rule,

cos(36°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{AD}{AB}[/tex]

              = [tex]\frac{AD}{14}[/tex]

AD = 14(cos36°)

     = 11.33 mm

Area of ΔABC = 2(Area of ΔABD)

                        = [tex]2(\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = AD × BD

                        = 11.33 × 8.23

                        = 93.21 mm²

Since, area of regular pentagon given in the picture = 5(area of ΔABC)

= 5(93.21)

= 466 mm²

Therefore, Option A will be the answer.

Answer: ab : a/2

Step-by-step explanation:

sorry if i am

Answer:

(8, -7)

Explanation:

If you are reflecting over the x-axis the x will stay the same, but the y will change into a negative.

Answer:

#7-$50.40 #8-$12,952.50 #9-$44.11 #10-$90.61

Step-by-step explanation:

#7- 18 ÷100= .18 .18(280) = $50.40

#8- you already have

#9- 5.53÷100 = .0553 .0553(462.82)= $44.11

#10- you already have

Answer:

The equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16

Step-by-step explanation:

To determine which equations have one solution, we will determine the solution(s) to all the equations (that is, find the value of the unknown, x).

1. 8x–3x+5=5x–2

This becomes

5x+5=5x-2

Subtract 5x from both sides

5x-5x+5 = 5x-5x-2

0+5 = 0-2

This equation has no solution

2. 9=3(5x–2)

First, open the bracket by distributing 3

∴ 9 = 15x - 6

Then, add 6 to both sides

9+6 = 15x -6 +6

15 = 15x

Divide both sides by 15

15/15 = 15x/15

1 = x

∴ x = 1

This has one solution.

3. 6x–(3x+8)=16

Open the bracket by distributing –1

6x -3x -8 = 16

3x - 8 = 16

Add 8 to both sides

3x -8 +8 = 16 + 8

3x = 24

Divide both sides by 3

3x/3 = 24/3

x = 8

This has one solution.

4. 9x+4–x=4(2x+1)

This becomes

9x -x +4 = 4(2x+1)

Then, 8x +4 = 4(2x+1)

Open the bracket by distributing 4

8x +4 = 8x +4

This is true for any value of x.

Hence, the equations that have one solution are 9=3(5x–2) and 6x–(3x+8)=16.

Answer: 20

Step-by-step explanation:

9x = 180

x = 20

Answer: x=20

Step-by-step explanation:

9x-0=180

9x=180

180/9=20

Answer:

Step-by-step explanation:

As per the graph, the domain can get any value but zero

Correct option is A. {x| x≠ 0}

Answer:

B) -1/2

C) {30, 150}

Step-by-step explanation:

Question 3)

We can see that the angle equals 210* which equals 7pi/6 (in radians)

The coordinates would be [tex](\frac{-\sqrt{3} }{2}, \frac{-1}{2})[/tex]

Since the problem is asking for sinθ, we will use -1/2 (the y-coordinate)

So the answer is B) -1/2..

Question 4)

If the criteria of the answer is that it must be between 0 < θ < 360 and it must have a y-value of 1/2 in its coordinate (sinθ = 1/2), then we will choose angles that meet this criteria. When we look at the unit circle (see the attached) we can see that only the angles of 30* and 150* match this answer, so our answer is c.

Answer:

1. 4

2. -7

3. 3

4. -7.5

Step-by-step explanation:

They are opposites on a number line thereforeit would be your answer. Hope this helps you :)

Answer:

The answer is the third option! :)

Step-by-step explanation:

Hope you do great:)

Answer:

1,-3

Step-by-step explanation:

Answer:

-3/1

Step-by-step explanation:

take the two points

(-2,10) and (-1,7)

plug it in into y2-y1/x2-x1

and you get -3/1

Answer:

x=3

Step-by-step explanation:

Answer:

7.6-5.2n

Step-by-step explanation:

combine like terms so -3.2n-2n = -5.2n

2.6+5=7.6

7.6-5.2n

Answer:

-5.2n + 7.6

Explanation:

2.6 - 3.2n - 2n + 5

= 2.6 - 5.2n + 5

= -5.2n + 7.6

- PNW

Answer:

Step-by-step explanation:

$2,850+10%=6,086$

Answer:

28.9 Pounds is fat rounded to nearest tenth would be 28.9

Step-by-step explanation:

If the person weighs  

169  lbs.  and has a body fat percentage of  17.1

%

, then the weight of the fat of the person will be:

Answer:

The answer is P

Answer:

y=160

x=19

Step-by-step explanation:

It's in the attached pdf. Please read. It took me forever.