A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

∴ x = [tex]\frac{10.8}{sin(57)}[/tex]

∴ x = 12.87752356

→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Answer:

[tex](0,3)[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

C (-4, 7)

D (4, -1)

Step 2: Find midpoint

Answer:

256

Step-by-step explanation:

2 times 16 is 32 so do the same for all of them and boom!

Answer:

256 because 16 times 16= 256

Step-by-step explanation:

Please give me brainliest, if I gave you the correct answer! Thanks

Answer:

1,675

Step-by-step explanation:

add it

Using Pythagoras, the distance of the fox from its den would be 533.26 yards

Opposite = √hypotenus² - adjacent²

Distance = √(900)² - (725)²

Distance = √810000 - 525625

Distance = √284375

Distance = 533.26 yards

Therefore, the fox is 533.26 yards from his den.

Learn more : Opposite = √hypotenus² - adjacent²

Answer:

Step-by-step explanation:

109

Answer:

standard form, real nums

Step-by-step explanation:

Answer:

Angle 6

Step-by-step explanation:

One easy way to know if an angle is congruent is it being directly across from the angle. In this case its fairly easy to tell since (assuming) that angle 3 is a 90 degree angle and so is angle 6.

The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by

C = sin 225° and the value of C = -0.70710678118

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as C

Now , the value of A is given by the equation ,

A = sin 170° cos 55° + cos 170° sin 55°

And let the first angle be = 170°

Let the second angle be = 55°

So , value of A = 170° and value of B = 55°

From the trigonometric relations , we know that

sin ( A + B ) = sin A cos B + cos A sin B   be equation (1)

Substitute the values of A and B in the equation , we get

sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )

So , value of equation A = sin ( 170° + 55° )

On simplifying the equation , we get

sin ( 170° + 55° ) = sin 225°

The value of sin 225° = -0.70710678118

Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118

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Answer: C

Step-by-step explanation:

ur welcome

The polar form of 2+2i is [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex]

We are given that;

The complex number= 2+2i

Now,

To convert a complex number from rectangular form to polar form, we need to find its magnitude and argument.

The magnitude is the distance from the origin to the point (x, y) on the complex plane, and the argument is the angle between the positive x-axis and the line joining the origin and the point.

Using the Pythagorean theorem and the inverse tangent function, we get:

Magnitude = [tex]$\sqrt{x^2 + y^2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{y}{x})$[/tex]

Plugging in x = 2 and y = 2i, we get:

Magnitude = [tex]$\sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{2}{2}) = \frac{\pi}{4}$[/tex]

Therefore, by pythagoras theorem answer will be [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex].

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Answer:

x>-1

Step-by-step explanation:

your welcome-

work-

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    (6*x-3)-((4*x-5))>0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  2

Solve Basic Inequality :

2.2      Subtract  1  from both sides

           x > -1

Inequality Plot :

2.3      Inequality plot for

        2.000 X  + 2.000  >  0

One solution was found :

x > -1

Answer:

Should be 39 miles per hour

Step-by-step explanation:

Just divide 312/8=39

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

Answer:

56+56=112 16kg

112+42=154 42 = 6kg

Step-by-step explanation:

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

Step 2

Find x using another function, sin

Answer:

two sevenths

Step-by-step explanation:

Answer:

x>20/7

Step-by-step explanation:

It's simple math, make sure to mark me brainliest!

Answer:

3x+5y=10 hope this helped !!

Answer:

150

Step-by-step explanation:

Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

Answer:

I think its option D. MEDIAN

The segment DG in the given triangle describes as Altitude.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that,

A triangle DEF.

Now, Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

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Answer:

Step-by-step explanation:

let n1 be the degree of freedom of factor A

Let n2 be the degree of freedom of factor B

If there are 5 levels of factor A, then n1 = 5

If there are 7 levels of Factor B then n2 = 7

The interaction between the degrees of freedom is expressed using the formula;

df = (n1 - 1)+(n2 - 1)

df = n1 -1 + n2- 1

df = n1+n2 -2

Substitute n1 and n2 and get df

df = 5+7-2

df = 12-2

df = 10

Hence the interaction  degree of freedom is 10

Answer:

32

Step-by-step explanation:

I hope it is helpful for you....

Answer:

2+2=4

Step-by-step explanation:

lol tell me the subject and ill research and give u n answer

Answer:

Step-by-step explanation:

(C)

Answer:

17.5 pages

Step-by-step explanation:

divide the total 105 pages by the 6 editors.

Answer:

5 14/5

Step-by-step explanation:

16

​3

​

​1

​​ −10

​5

​

​2

​​

16×3+1

​​ −10

​5

​

​2

​​

48+1

​​ −10

​5

​

​2

​​

49

​​ −10

​5

​

​2

​​

49

​​ −

​5

​

​10×5+2

​​ 49

​​ −

​5

​

​50+2

​​

49

​​ −

​5

​

​52

49×5

​​ −

​5×3

​

​52×3

​​​​245

​​ −

​15

​

​156

​​

​15

​

​245−156/15

89/15 simplify it

5 14/5