1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?​

Answer:

 $45 + $x =  $80

The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees

The equation is given as:

2sin²(x) + sin(x) = 1

Let y = sin(x)

So, the equation becomes

2y² + y = 1

Rewrite as:

2y² + y - 1 = 0

Expand

2y² + 2y - y - 1 = 0

Factorize

2y(y + 1) - 1(y + 1) = 0

Expand

(2y - 1)(y + 1) = 0

Split

2y - 1 = 0 or y + 1 = 0

Solve for y

y = 0.5 or y = -1

Recall that: y = sin(x)

So, we have:

sin(x) = 0.5 and sin(x) = -1

Take the arcsin of both sides

x = sin⁻¹(0.5) and x = sin⁻¹(-1)

x = 30 degrees and x = 270

Hence, the non-negative values of x are 30 and 270 degrees

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Read more about sine ratios at:

https://brainly.com/question/11967894

Answer: Answers are:

Step-by-step explanation:

Nate: Creativity

Lucy: Social skills

Marco: Organizational skills

OR

D , B, D

Answer

Nate: Creativity

Lucy: Social skills

Marco: Organizational skils

Step-by-step explanation:

Nate is creative lucy has social skills and marco has organiztional skills

Answer:

5.6

Step-by-step explanation:

3/5=0.6

so you would add 5.6 to get 0.6

Answer:

Can I have a picture of the Graph please?

Answer:

n=5

Step-by-step explanation:

So I'm not sure how to write the equation, but i do know that each term has five added from the previous one, hope that help a little bit!

Answer:

183 cm^2

Step-by-step explanation:

the line through the shape line means that they are equivalent meaning the side that is empty not making the trapezoid would be 9 as well. moving the 3 over since it is right next to it. 3 times 9 equal 27cm^2. later we are gonna use this number to subtract

then make a different equation with 3+9 to the the full height of the trapezoid pretending it is not missing anything. 3+9=12

then use the formula to find the area of the trapezoid which is 1/2(h)(b1+b2)

add the 2 bases together to get 35. how did i get 35. 12+14=26 yes then include the 9 to get 35.

1/2(height=12)(35)=6(35)=210cm^2

then you used 210-27 to get 183cm^2

Answer:

C

Step-by-step explanation:

Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.

Answer:

Reflection

Step-by-step explanation:

Figure one was reflected accross the y axis to create figure two :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

10/7 x 9/8 = 90/56 = 45/28.

7/9 x 8/10 = 56/90 = 28/45

If you want to multiply these, the answer is (28*45) / 28/45) = 1.

Answer:

((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024

fraction: 7323689 / 6250000

decmal:1.17179024

Answer:

B. 6 feet 10 inches

Step-by-step explanation:

82 inches = 6 feet 10 inches

1 ft = 12 inches

-> 82 inches = 6 feet 10 inches

Answer:

I can't get past hre, equations are attached tho

Step-by-step explanation:

Equations:

[tex]b + s + p = 35.75[/tex]

[tex]\frac{1}{4} b = s[/tex]

[tex]\frac{2}{3} s = p[/tex]

Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:

brush =$20.21,. sketchbook =$6.21 , paint set=$9.32

Step-by-step explanation:

let the cost of the brush=x

the cost of the sketchbook=y

the cost of the paint set= z

total money used= $39.75-$4.00

=$35.75

x= 14+y

but y=2/3z

x= 14+2/3z

14+2/3z +2/3z +z =35.75

3×14 +3×2/3z+3×2/3z×3z=3×35.75

42 +2z +2z +3z =107.25

7z=107.25-42

7z=65.25

z=65.25/7

z=$9.32

y=$2/3×9.32

y=$6.21

x=14+y

x=14+6.21

x=$20.21

Answer:

Step-by-step explanation:

Answer:

angle A=65

a= 24.5

b= 36.4

Step-by-step explanation:

Answer:

61.7647% increase to be exact,

but the rounded answer is about 62%, or 61.8% rounded to the nearest tenth.

Step-by-step explanation:

do final value - starting value and divide by starting value times 100%

The number of soft drinks sold was 4 times the number of fruit juice -> On average, every 4 soft drinks sold, 1 fruit juice is.

-> Every P34.00 of soft drinks sold, P11.00 of fruit juice is.

So, the income is P45.00 everytime.

Since the total income is P900.00, the amount of 4 soft drinks and 1 fruit juice sold is 900 : 45 = 20 times

So, there were 20 x 4 = 80 soft drinks sold.

Recheck : 80 x 8.5 + 20 x 11 = 680 + 220 = 900.

Answer:

Set both equations equal to 20

4x > 20

-5y> 20

solve by divideing

x >5

y> -4

Answer:

8.2

Step-by-step explanation:

Number in the middle of the series = 18

Largest number = 28

Smallest number = 5

(18+28)/5

46/5

8.2

The required simplified solution of the given statement is 9.2.

Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2

Thus, the required simplified solution of the given statement is 9.2.

Learn more about simplification here: https://brainly.com/question/12501526

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the on with the line over the 2 only

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

The angle supplementary with the 122 degree angle measures 180-122=58 degrees.

So, the triangle has interior angles of f, 90, and 58 degres.

Since the angles in a triangle add to 180 degrees, f+180-90-58=32 degrees

Answer:

36 yd^3

Step-by-step explanation:

6*2*3

Answer:

The answer is 4,224

Step-by-step explanation:

hope this helpss

Answer:

4 meters

Step-by-step explanation:

A square has four sides, therefore four times one is 4.

Answer:

69

Step-by-step explanation:

Find the area of the rectangle. 15 x 3 = 75.

Find the area of the cut-out triangle.
1/2bh

1/2(3(4))

1/2(12)

6

75 - 6 = 69.

Answer:

X' (-8,-2)

Step-by-step explanation:

You move -6 two spaces to the left making -8 and 3-5 = -2

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

Answer:I’m not sure about the wind but the speed of the dragon is 125mph

Step-by-step explanation:Remember,

Speed=Distance/Time

Distance=Speed x Time

Time=Distance/Speed

Knowing that the distance in both trips was the same, we can say that he flew his trip 150mph (Speed=300/2) the first time and 100mph (Speed=300/3) the second time. Next, we find the average of 150 and 100 and that is (100+150)/2 which is 125. I’m sorry I couldn’t find the speed of wind, but in my defense, I’m only in 6th grade. Hopefully that helped you, good luck!

Answer:

Speed of the wind was

25 miles per hour.

Speed of Mighty Dragon 125 was

miles per hour.

Step-by-step explanation:

math lel

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

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