Y-z=m(x-k) solve for x

Answer:

[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]

Step-by-step explanation:

Please refer to the diagram below.

We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:

[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]

We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:

[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]

Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:

[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]

Multiply both sides by 10. So, dx/dθ is:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]

We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]

Evaluate:

[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]

So, x is changing with respect to θ at a rate of 5 feet per radian.

Answer:85-500

Step-by-step explanation:

Answer:

The troposphere is the region that starts at Earth's surface and ends between 8 km and 20 km above Earth.

Step-by-step explanation:

Answer:

-3x + y = 8 and 3y = 9x

Step-by-step explanation:

Answer:

$126

Step-by-step explanation:

Well first you would have to see how much the total sale of 700 chocolate bars is,

700*1.20=$840

Next you need to multiply the 15% thats going to club shirts,

$840*0.15=126

So your answer is $126

Answer:

(x-3)(x-2)

Step-by-step explanation:

none cause you dont want one

Answer:

976.627, 976.328, and 978.327

Step-by-step explanation:plz give Brainlyest

Answer: (Greatest: 978.327) (Middle: 976.627) (Least: 976.328)

Step-by-step explanation: Hope this helps!

Answer:

A = 2044 sqcm; P = 221 cm (PLEASE DOUBLE CHECK CALCULATIONS!!)

Step-by-step explanation:

the area of a triangle is half of its base times height.

the base and the height must be perpendicular to each other; so they would be 56 and 73.

56(73)/2=2044

the perimeter is the sum of all the sides

73+56+92=221

The area of the right-angled triangle is 2044 cm² and the perimeter of the right-angled triangle is 221 cm.

To find the area and perimeter of a right-angled triangle with dimensions 73 cm, 92 cm, and 56 cm.

Area of a right-angled triangle:

The area of a triangle can be found using the formula:

A = (1/2) x base x height

Plugging these values into the formula, we get:

A = (1/2) x 73 cm x 56 cm

A = 2044 cm²

Therefore, the area of the right-angled triangle is 2044 cm².

Perimeter of a right-angled triangle:

The perimeter of a triangle is the sum of all its sides.

In this case, the sides of the triangle are 73 cm, 92 cm, and 56 cm.

Perimeter = 73 cm + 92 cm + 56 cm

Perimeter = 221 cm

Therefore, the perimeter of the right-angled triangle is 221 cm.

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Answer:

60,72 - 12

45,81 - 9

Answer:

1: x= 3

2:x=12

3:x= 6.7

4:x=3.6

Answer:

18 pieces of cheese

Step-by-step explanation:

3 slices x 6 grilled cheeses = 18 slices of cheese

Answer:

when translation appears on the axises for any shape or line, the same line would not compare each other.  Just like the parallel lines that I used.  These two lines are not compared to each other.

Step-by-step explanation:

Step-by-step explanation:

5 - 3n

I think sooooooo

Answer:

16 songs.

Step-by-step explanation:

If Aaliyah has 50 songs, but her phone can only hold a third of those songs, to solve this problem, we will have to find a third of 50.

Divide 50 into 3:

[tex]50[/tex] ÷ [tex]3[/tex]

[tex]=16.6666...[/tex]

As this decimal does not terminate, we'll have to round down to [tex]16[/tex] since we cannot have a portion of the song downloaded.

Therefore, Aaliyah can download 16 songs on her phone.

Answer:

Larger number = 11

Smaller number = 6

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

x - y = 5

3y + 4 = 2x       Subtract 2x

-2x + 3y + 4 = 0

===========

Multiply  the first equation by 2. Write the second equation underneath

2x - 2y = 10

-2x + 3y + 4 = 0

add

y + 4 = 10  

Subtract from both sides

y = 10 - 4

y = 6

==========

x - y = 5

x - 6 = 5                Add 6 to both sides

x = 5 + 6

x = 11

Answer:

Step-by-step explanation:

x       ← the smaller number

x+5    ←  five more than the smaller number - the larger number

3x    ← three times the  smaller number

3x+4   ← four more than three times the  smaller number

2(x+5)   ← twice the larger number

3x + 4 = 2(x + 5)

3x + 4 = 2x + 10

   -4         -4

     3x = 2x + 6

  -2x       -2x

      x  =  6

x+5 = 6 + 5 = 11

Check:   3•6 + 4 = 22;  22:2 = 11

Answer:

49/30

Or

1 19/30

Step-by-step explanation:

Answer:8 Dollars

Step-by-step explanation: The whole is 100 so you add 50 and 10 together which is the lunch and candy which equals 60 then you subtract the whole number 100 by 60 giving you 40 which is the percentage of 20 that was spent on the spirit shirt.And the way I do it is 10 percent of 20 is 2 so times 2 by 4 which gives you 8 dollars.

Answer:

y=2x+5

Step-by-step explanation:

0,5

0,7

7-5 is 2

2/0 is 2

to check answer:

(2*0)+5

0+5

=5

See attachment for math work and answer.

The average speed exceeding the speed limit is mathematically given as

6.91 kilometers per hour

This is further explained below.

Let's assume that Erik maintains a steady pace during the whole trip.

Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:

Where: miles is the unit of measurement for distance.

t stands for time, which is measured in hours.

Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:

[tex]\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}[/tex]

In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.

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Answer:

The answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.

Answer:

24/8 or 3

Step-by-step explanation:

19/8 + 5/8

=> 19 + 5 / 8

=> 24/8

=> 3

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Thanks!!

See Explanation

Step-by-step explanation:

[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]

[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\

=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\

= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\

= 4(-43) -2(-17) +6(5)\\\\

= - 172 + 34 + 30\\\\

= 64 - 172\\\\

= - 108 \\[/tex]

Answer: $ 0.1047

Step-by-step explanation:

Answer:

Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.

Step-by-step explanation:

Answer:

Its irrational since it’s never ending

Step-by-step explanation:

rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends

Answer:

0.584... is irrational

Step-by-step explanation:

This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

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