what is the measure of angle W?

Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

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

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.

It should be noted that there are 52 weeks in one year.

Based on the information given, the annual salary is given as 54000.

Therefore, the weekly salary will be:

= Annual salary / Number of weeks.

= 54000 / 52

= $1038.46

Her weekly salary is $1038.46.

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Answer:

i believe that the answer is y= -1/2 +3.

Answer:

61 minutes and 36 seconds

Step-by-step explanation:

150 mph is equal to 2.5 miles per minutes divide miles by 2.5

The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

We have to determine,

What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

[tex]\rm y = -16x^2 + 24x + 1.[/tex]

The equation given is,

[tex]\rm 6 = -16x^2 + 24x + 1[/tex]

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

For more details about the Quadratic equation refer to the link given below.

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Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Answer:

d is the question

Step-by-step explanation:

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

Answer:

Line 1 passes through (5, -9) and (0, -5)

We are going to use slope-intercept form of a linear equation.

First we are going to find the slope of the line.

m= -5- (-9)

-------

0-5

m=4/-5

Now substitute in the point to find the y-intercept:

Either point can be used. I am using point (0,-5)

y=-4/5x+b

-5=-4/5(0)+b

-5=b

So, the linear equation is y=-4/5x-5

Line 2 passes through (-3, 8) and (1, 3)

m=3-8

-----

1-(-3)

m=-5/4

Use slope intercept form and substitute in either point

I am using point (1,3)

y=-5/4x+b

3=-5/4(1)+b

3=-5/4+b

3+5/4=b

17/4=b

Therefore, the equation of Line 2 is y= -5/4x+17/4

Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4

Answer: I think it is -7 and +7

Answer:

y=-1

Step-by-step explanation:

yeah-ya...... right?

Hey there!

k - 10/2 = -7

k - 5 = -7

ADD 5 to BOTH SIDES

k - 5 + 5 = -7 + 5

CANCEL out: -5 + 5 because that gives you 0

KEEP: -7 + 5 because it helps solve for the k-value

NEW EQUATION: k = -5 + 7

SIMPLIFY IT & YOU HAVE YOUR ANSWER!

k = -2

Therefore, your answer is: k = -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Hassan's sister ate 5/4 pounds of strawberries.

Step-by-step explanation:

Conclusion:

Therefore, Hassan's sister ate 5/4 pounds of strawberries.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

Answer:

c = 8

Step-by-step explanation:

c - 12 = -4

Add 12 on both sides

c = 12 + (-4)

c = 8

Answer:

[tex]\displaystyle m = \frac{-7}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

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Answer:

The amount of tax is £178.34, and the full total is £1142.34.

Step-by-step explanation:

Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.

The amount of tax that is added to the cost of the computer is

£178.34.

A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.

Assume the amount of tax that is added to the cost of the computer is

£{x}. Then, we can write the equation as -

{x} = 18.5% of 964

{x} = (18.5/100) x 964

{x} = 178.34

Therefore, the amount of tax that is added to the cost of the computer is

£178.34.

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Step-by-step explanation:

3×|x + 4| + 2 >= 5

you handle this basically like an equation :

3×|x + 4| >= 3

|x + 4| >= 1

because of the absolute value we have 2 solutions for that :

x + 4 = 1

and

x + 4 = -1

as in both cases the absolute value turns the result into 1.

so,

x + 4 = 1

x = -3

x + 4 = -1

x = -5

so, to satisfy the inequality

x >= -3 or x <= -5

please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.

Answer:

15 meals would be $60

Step-by-step explanation:

15 ÷ 5 = 3

1. 5 = 20

2. 5 = 20

3. 5 = 20

15 = 60

Hope this helps! :)