Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses

Answer:

x° ≈ 25.5°

Step-by-step explanation:

The relationship between the two given sides and angle x are Opposite and Adjacent. So we'll use tan(x) = 10/21 to start.

Take the Inverse tan (tan⁻¹) to find x:  x = tan⁻¹(10/21) ==> calculator

Answer:

x = 25.5°

Step-by-step explanation:

First find the hypotenuse of the right triangle given by the formula

[tex]c = \sqrt{a^{2} + b^{2}}[/tex]

where c is the hypotenuse and a, b the two sides

Let's call the vertical leg as a and the horizontal leg as b

Then we have a = 10, b = 21

So

[tex]c = \sqrt{10^{2} + 21^{2}}\\\\c = \sqrt{100 + 441}\\\\c = \sqrt{541}\\\\c = 23.2594\\\\\\[/tex]

By the law of sines, the ratios of the sides of a triangle to the sine of the angles opposite must be the same. The hypotenuse is opposite the 90° angle. and the side of length 10 is opposite angle x

So
[tex]\dfrac{23.2594}{\sin 90} = \dfrac{10}{\sin x}[/tex]

But  sin 90 = 1. So the above equation reduces to

[tex]2.2594 = \dfrac{10}{\sin x}\\\\\\\implies \sin x = \dfrac{10}{23.2594}\\\\\implies \sin x = 0.43\\\\\\\\x = sin ^{-1}(0.43) = 25.4675\\\\[/tex]

Rounded to 1 decimal place
x = 25.5°

Answer:

C (71)

Step-by-step explanation:

Hi there! I am very happy to answer your question!

[tex]65x+23000-50x=24065[/tex]

[tex]15x+23000=24065[/tex]

[tex]15x=24065-23000[/tex]

[tex]15x=1065\\[/tex]

[tex]x=\frac{1065}{15}[/tex]

[tex]x=71[/tex]

Answer:

g-games

r-rides

1.5 g + 2.5r= 16.5

g=2r

Step-by-step explanation:

g: # of games played

r: # of rides ridden

total amount spent:  1.50g + 2.50r = 16.50

relationship of games to rides: g = 2r

Hope this helped! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of games is 3.

The number of rides is 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of rides = m + 5

Number of games = m

Now,

Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.

This means,

1.50m + 5(m + 5) = 44.50

1.50m + 5m + 25 = 44.50

6.50m = 44.50 - 25

m = 19.5/6.50

m = 3

Now,

The number of games = 3.

The number of rides.

= m + 5

= 3 + 5

= 8

Thus,

The number of games is 3.

The number of rides is 8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

After 15 minutes the pan will have a temperature of 36°F

Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = T₀ + (T₁-T₀)e^(kt)

Given: T₁ = 120°F,  T₀ = 0°F. After 5 minutes, T(t) = 80°F

T(t) = T₀ + (T₁-T₀)e^(kt)

80 = 0 + (120-0)e^(5k)

80 = 120e^5k

e^5k = 80/120

e^5k = 2/3

5k = ln(2/3)

k = ln(2/3) / 5

k = -0.0811

The temperature of the pan after 15 minutes will be:

T(t) = T₀ + (T₁-T₀)e^(kt)

T(15) = 0 + (120-0)e^(-0.0811×15)

T(15) = 120e^(-0.0811×15)

T(15) = 36°F

Learn more about Newton's Law of Cooling on:

brainly.com/question/19534304

#SPJ1

Answer:

P-2l/2=w

Step-by-step explanation:

P = 21 + 2w

Solve for w

Subtract 21 from both sides.

P - 21 = 2w

Divide both sides by 2.

P-21/2 = w

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.

[tex]6x=-6[/tex]

[tex]x=-1[/tex]

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]

Thus,

x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex];    [tex](-1,\frac{8}{3} )[/tex]

Hope this helped :)

There will be 0.48 grams will be left in the sample after 59 years.

Function is a type of relation, or rule, that maps one input to specific single output.

Since we have given that initial sample of 171 g of a radioactive substance decays according to the function

[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years

Here, Initial amount of radioactive substance = 171 grams

We need to find the amount of substance that will be left in the sample after 59 years.

So, t = 59 years

So, it becomes,

[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]

Hence, there will be 0.48 grams will be left in the sample after 59 years.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Answer:

Your answer is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

(attached)

Answer:

[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...

Step-by-step explanation:

1/2--5/6

When you subtract a negative, it is the same as adding a positive. 1/2+5/6

Create like denominators:

3/6+5/6

Simplify:

8/6

1 1/3 or 1.3333...

well, the wording is

"the yards from their goal line as a function of the number of plays"

the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table

[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]

oddly enough, looks like yours :)

Answer: 67.38

Step-by-step explanation:

Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(5,−2),(−3,−10)

Equation Form:

x=5,y=−2x=5,y=-2

x=−3,y=−10x=-3,y=-10

Maybe want something different then here:

X intercepts- (7,0)

Y intercepts- (0, -7)

Answer:

Step-by-step explanation:

Answer:  "450" - "0.3" x

Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3

Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]

Answer:

y=-5x+5

Step-by-step explanation:

Answer: Spain

After Rome, St.Paul wanted to go to Spain.

Step-by-step explanation:

Paul planned to visit Macedonia

Answer: -6 ÷ -2    ,  (-1)(-3)  ,  and 4 + 1

Step-by-step explanation:

Step-by-step explanation:

i think its no, but im not sure.

Answer:

5

Step-by-step explanation:

The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.

Answer:

1/2, 1, 0, 1/2

Step-by-step explanation:

We can solve this by rounding each fraction to either 0, 1/2, or 1.

The first fraction, 7/12, is pretty close to 6/12, which is 1/2 of 12.

So we can round this to 1/2.

The second fraction, 5/6, is closer to 6/6 (1) than 3/6 (1/2).

So we can round this to 1.

The third fraction, 2/11 is closer to 0 than 5.5/11 (1/2).

We can round this to 0.

4/9 is closer to 4.5/9 (1/2) than 0.

We can round this to 1/2.

Therefore, when we round all of these fractions, we are left with 1/2, 1, 0, 1/2.

The constraints that describe the system of inequalities in this problem are given as follows:

The first step toward obtaining the constraints is defining the variables, as follows:

Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:

7x + 2y ≥ 37.

They also want to reach at least 32 million men, hence the constraint is given as follows:

4x + 12y ≥ 32.

The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.

More can be learned about a system of inequalities at https://brainly.com/question/9774970

#SPJ1

Answer:

116.64

Step-by-step explanatio hope this helps

The numbers represented by the statement are 17 and 10

Represent the larger number with x and the smaller number with y

So, we have the following representation from the question

x = 2y - 3

x + y = 27

Substitute x = 2y - 3 in the equation x + y = 27

So, we have the following representation

2y - 3 + y = 27

Evaluate the like terms

3y = 30

Divide both sides by 3

y = 10

Recall that

x = 2y - 3

So, we have

x = 2 * 10 - 3

Evaluate

x = 17

Hence, the numbers are 17 and 10

Read more about numbers at

https://brainly.com/question/12050093

#SPJ1

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

To learn more about quotient

https://brainly.com/question/15305334

#SPJ1

Hope this answer helps you

Answer:

$1984.80

Step-by-step explanation:

165.40 times 12 equals 1984.80

Answer:

He pays $1984.80 on his loan in one year.

Step-by-step explanation:

If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.

165.4*12 = 1984.8

He pays $1984.80 on his loan in one year.

Answer:

9

Step-by-step explanation:

Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.

Answer:

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

Use the given values in the table and find the missing ones.

The first two rows add up to the last row and same for the columns.

1) Find the Row total for Males:

2) Find the number of Males not enrolled in Composition 1:

Correct choice is A.

Answer:

-14

Step-by-step explanation:

x = 98

x = -7x

98/-7 = -14

x = -14

If it is correct, can you please give me a brainliest? Thank you!

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer: X= 3.3                    or                          x= 33/10

Answer:   -4,-2

Step-by-step explanation:

(i)Take y-5=-4x

Make y as subject of formula i.e. y=-4x+5

Now compare it with y=mx+c

Then Slope m=-4

(ii) 3y-9=-6x

Making y as subject of formula i.e. 3y=-6x+9

Divide through by 3

then it will become y=-2x+3

Now comparing it with y=mx+c

then Slope m=-2